From 7a6c3f9197767bfdf6a49ca32fcc5c321688589e Mon Sep 17 00:00:00 2001 From: Karthik Chandrashekara Date: Mon, 21 Jul 2025 17:35:20 +0200 Subject: [PATCH] Updated script to compute with the new full g2, max g2 definitions for simulation results. --- .../Deprecated/+Colormaps/coolwarm.m | 302 +++++++ .../Deprecated/+Colormaps/fake_parula.m | 76 ++ Data-Analyzer/Deprecated/+Colormaps/inferno.m | 269 +++++++ Data-Analyzer/Deprecated/+Colormaps/magma.m | 271 +++++++ Data-Analyzer/Deprecated/+Colormaps/plasma.m | 270 +++++++ Data-Analyzer/Deprecated/+Colormaps/viridis.m | 267 +++++++ .../analyzePhaseTransitionSimulation.m | 739 ++++++++++++------ 7 files changed, 1948 insertions(+), 246 deletions(-) create mode 100644 Data-Analyzer/Deprecated/+Colormaps/coolwarm.m create mode 100644 Data-Analyzer/Deprecated/+Colormaps/fake_parula.m create mode 100644 Data-Analyzer/Deprecated/+Colormaps/inferno.m create mode 100644 Data-Analyzer/Deprecated/+Colormaps/magma.m create mode 100644 Data-Analyzer/Deprecated/+Colormaps/plasma.m create mode 100644 Data-Analyzer/Deprecated/+Colormaps/viridis.m diff --git a/Data-Analyzer/Deprecated/+Colormaps/coolwarm.m b/Data-Analyzer/Deprecated/+Colormaps/coolwarm.m new file mode 100644 index 0000000..ef9338b --- /dev/null +++ b/Data-Analyzer/Deprecated/+Colormaps/coolwarm.m @@ -0,0 +1,302 @@ +function map = coolwarm(m) + %COOLWARM cool-warm color map + % COOLWARM(M) returns an M-by-3 matrix containing a colormap with cool-to-warm + % colors, as commonly used in Paraview. + % COOLWARM, by itself, is the same length as the current colormap. + % + % For example, to reset the colormap of the current figure: + % + % colormap(coolwarm) + % + % Colormap is based on the colors used by the freeware program Paraview. + % The color table used here is CoolWarmUChar33.csv, from + % http://www.sandia.gov/~kmorel/documents/ColorMaps/ + % Reference: Moreland, Kenneth, 2009, Diverging Color Maps for Scientific + % Visualization, in Proceedings of the 5th International Symposium on + % Visual Computing. + % The Matlab code is after haxby.m by Kelsey Jordahl, Marymount Manhattan + % College. + % + % See also HSV, GRAY, PINK, COOL, BONE, COPPER, FLAG, HOT + % COLORMAP, RGBPLOT, HAXBY. + + % Mark Brandon + % Yale University + % Time-stamp: + + %% Check inputs + narginchk(0,1); + + if nargin == 1 + validateattributes(m,{'numeric'},{'numel',1}); + end + + %% Begin Function + if nargin < 1, m = size(get(gcf,'colormap'),1); end + c=[59 76 192; + 60 78 194; + 61 80 195; + 62 81 197; + 63 83 198; + 64 85 200; + 66 87 201; + 67 88 203; + 68 90 204; + 69 92 206; + 70 93 207; + 71 95 209; + 73 97 210; + 74 99 211; + 75 100 213; + 76 102 214; + 77 104 215; + 79 105 217; + 80 107 218; + 81 109 219; + 82 110 221; + 84 112 222; + 85 114 223; + 86 115 224; + 87 117 225; + 89 119 226; + 90 120 228; + 91 122 229; + 93 123 230; + 94 125 231; + 95 127 232; + 96 128 233; + 98 130 234; + 99 131 235; + 100 133 236; + 102 135 237; + 103 136 238; + 104 138 239; + 106 139 239; + 107 141 240; + 108 142 241; + 110 144 242; + 111 145 243; + 112 147 243; + 114 148 244; + 115 150 245; + 116 151 246; + 118 153 246; + 119 154 247; + 120 156 247; + 122 157 248; + 123 158 249; + 124 160 249; + 126 161 250; + 127 163 250; + 129 164 251; + 130 165 251; + 131 167 252; + 133 168 252; + 134 169 252; + 135 171 253; + 137 172 253; + 138 173 253; + 140 174 254; + 141 176 254; + 142 177 254; + 144 178 254; + 145 179 254; + 147 181 255; + 148 182 255; + 149 183 255; + 151 184 255; + 152 185 255; + 153 186 255; + 155 187 255; + 156 188 255; + 158 190 255; + 159 191 255; + 160 192 255; + 162 193 255; + 163 194 255; + 164 195 254; + 166 196 254; + 167 197 254; + 168 198 254; + 170 199 253; + 171 199 253; + 172 200 253; + 174 201 253; + 175 202 252; + 176 203 252; + 178 204 251; + 179 205 251; + 180 205 251; + 182 206 250; + 183 207 250; + 184 208 249; + 185 208 248; + 187 209 248; + 188 210 247; + 189 210 247; + 190 211 246; + 192 212 245; + 193 212 245; + 194 213 244; + 195 213 243; + 197 214 243; + 198 214 242; + 199 215 241; + 200 215 240; + 201 216 239; + 203 216 238; + 204 217 238; + 205 217 237; + 206 217 236; + 207 218 235; + 208 218 234; + 209 219 233; + 210 219 232; + 211 219 231; + 213 219 230; + 214 220 229; + 215 220 228; + 216 220 227; + 217 220 225; + 218 220 224; + 219 220 223; + 220 221 222; + 221 221 221; + 222 220 219; + 223 220 218; + 224 219 216; + 225 219 215; + 226 218 214; + 227 218 212; + 228 217 211; + 229 216 209; + 230 216 208; + 231 215 206; + 232 215 205; + 232 214 203; + 233 213 202; + 234 212 200; + 235 212 199; + 236 211 197; + 236 210 196; + 237 209 194; + 238 209 193; + 238 208 191; + 239 207 190; + 240 206 188; + 240 205 187; + 241 204 185; + 241 203 184; + 242 202 182; + 242 201 181; + 243 200 179; + 243 199 178; + 244 198 176; + 244 197 174; + 245 196 173; + 245 195 171; + 245 194 170; + 245 193 168; + 246 192 167; + 246 191 165; + 246 190 163; + 246 188 162; + 247 187 160; + 247 186 159; + 247 185 157; + 247 184 156; + 247 182 154; + 247 181 152; + 247 180 151; + 247 178 149; + 247 177 148; + 247 176 146; + 247 174 145; + 247 173 143; + 247 172 141; + 247 170 140; + 247 169 138; + 247 167 137; + 247 166 135; + 246 164 134; + 246 163 132; + 246 161 131; + 246 160 129; + 245 158 127; + 245 157 126; + 245 155 124; + 244 154 123; + 244 152 121; + 244 151 120; + 243 149 118; + 243 147 117; + 242 146 115; + 242 144 114; + 241 142 112; + 241 141 111; + 240 139 109; + 240 137 108; + 239 136 106; + 238 134 105; + 238 132 103; + 237 130 102; + 236 129 100; + 236 127 99; + 235 125 97; + 234 123 96; + 233 121 95; + 233 120 93; + 232 118 92; + 231 116 90; + 230 114 89; + 229 112 88; + 228 110 86; + 227 108 85; + 227 106 83; + 226 104 82; + 225 102 81; + 224 100 79; + 223 98 78; + 222 96 77; + 221 94 75; + 220 92 74; + 218 90 73; + 217 88 71; + 216 86 70; + 215 84 69; + 214 82 67; + 213 80 66; + 212 78 65; + 210 75 64; + 209 73 62; + 208 71 61; + 207 69 60; + 205 66 59; + 204 64 57; + 203 62 56; + 202 59 55; + 200 57 54; + 199 54 53; + 198 51 52; + 196 49 50; + 195 46 49; + 193 43 48; + 192 40 47; + 190 37 46; + 189 34 45; + 188 30 44; + 186 26 43; + 185 22 41; + 183 17 40; + 181 11 39; + 180 4 38]; + %... Interpolate get requested size for color table + pp=1:(m-1)/(size(c,1)-1):m; + r=interp1(pp,c(:,1),1:m); + g=interp1(pp,c(:,2),1:m); + b=interp1(pp,c(:,3),1:m); + %... Normalize to range [0,1], and divide again by maximum value + % to correct for round-off errors associated with the interpolation. + map=[r' g' b']/255; + map = map/max(map(:)); +end \ No newline at end of file diff --git a/Data-Analyzer/Deprecated/+Colormaps/fake_parula.m b/Data-Analyzer/Deprecated/+Colormaps/fake_parula.m new file mode 100644 index 0000000..dcd4ce4 --- /dev/null +++ b/Data-Analyzer/Deprecated/+Colormaps/fake_parula.m @@ -0,0 +1,76 @@ +function cm_data=fake_parula(m) + +cm = [[0.2081, 0.1663, 0.5292], + [0.2116238095, 0.1897809524, 0.5776761905], + [0.212252381, 0.2137714286, 0.6269714286], + [0.2081, 0.2386, 0.6770857143], + [0.1959047619, 0.2644571429, 0.7279], + [0.1707285714, 0.2919380952, 0.779247619], + [0.1252714286, 0.3242428571, 0.8302714286], + [0.0591333333, 0.3598333333, 0.8683333333], + [0.0116952381, 0.3875095238, 0.8819571429], + [0.0059571429, 0.4086142857, 0.8828428571], + [0.0165142857, 0.4266, 0.8786333333], + [0.032852381, 0.4430428571, 0.8719571429], + [0.0498142857, 0.4585714286, 0.8640571429], + [0.0629333333, 0.4736904762, 0.8554380952], + [0.0722666667, 0.4886666667, 0.8467], + [0.0779428571, 0.5039857143, 0.8383714286], + [0.079347619, 0.5200238095, 0.8311809524], + [0.0749428571, 0.5375428571, 0.8262714286], + [0.0640571429, 0.5569857143, 0.8239571429], + [0.0487714286, 0.5772238095, 0.8228285714], + [0.0343428571, 0.5965809524, 0.819852381], + [0.0265, 0.6137, 0.8135], + [0.0238904762, 0.6286619048, 0.8037619048], + [0.0230904762, 0.6417857143, 0.7912666667], + [0.0227714286, 0.6534857143, 0.7767571429], + [0.0266619048, 0.6641952381, 0.7607190476], + [0.0383714286, 0.6742714286, 0.743552381], + [0.0589714286, 0.6837571429, 0.7253857143], + [0.0843, 0.6928333333, 0.7061666667], + [0.1132952381, 0.7015, 0.6858571429], + [0.1452714286, 0.7097571429, 0.6646285714], + [0.1801333333, 0.7176571429, 0.6424333333], + [0.2178285714, 0.7250428571, 0.6192619048], + [0.2586428571, 0.7317142857, 0.5954285714], + [0.3021714286, 0.7376047619, 0.5711857143], + [0.3481666667, 0.7424333333, 0.5472666667], + [0.3952571429, 0.7459, 0.5244428571], + [0.4420095238, 0.7480809524, 0.5033142857], + [0.4871238095, 0.7490619048, 0.4839761905], + [0.5300285714, 0.7491142857, 0.4661142857], + [0.5708571429, 0.7485190476, 0.4493904762], + [0.609852381, 0.7473142857, 0.4336857143], + [0.6473, 0.7456, 0.4188], + [0.6834190476, 0.7434761905, 0.4044333333], + [0.7184095238, 0.7411333333, 0.3904761905], + [0.7524857143, 0.7384, 0.3768142857], + [0.7858428571, 0.7355666667, 0.3632714286], + [0.8185047619, 0.7327333333, 0.3497904762], + [0.8506571429, 0.7299, 0.3360285714], + [0.8824333333, 0.7274333333, 0.3217], + [0.9139333333, 0.7257857143, 0.3062761905], + [0.9449571429, 0.7261142857, 0.2886428571], + [0.9738952381, 0.7313952381, 0.266647619], + [0.9937714286, 0.7454571429, 0.240347619], + [0.9990428571, 0.7653142857, 0.2164142857], + [0.9955333333, 0.7860571429, 0.196652381], + [0.988, 0.8066, 0.1793666667], + [0.9788571429, 0.8271428571, 0.1633142857], + [0.9697, 0.8481380952, 0.147452381], + [0.9625857143, 0.8705142857, 0.1309], + [0.9588714286, 0.8949, 0.1132428571], + [0.9598238095, 0.9218333333, 0.0948380952], + [0.9661, 0.9514428571, 0.0755333333], + [0.9763, 0.9831, 0.0538]]; + +if nargin < 1 + cm_data = cm; +else + hsv=rgb2hsv(cm); + cm_data=interp1(linspace(0,1,size(cm,1)),hsv,linspace(0,1,m)); + cm_data=hsv2rgb(cm_data); + +end +end \ No newline at end of file diff --git a/Data-Analyzer/Deprecated/+Colormaps/inferno.m b/Data-Analyzer/Deprecated/+Colormaps/inferno.m new file mode 100644 index 0000000..bdef08d --- /dev/null +++ b/Data-Analyzer/Deprecated/+Colormaps/inferno.m @@ -0,0 +1,269 @@ +function [cm_data]=inferno(m) + +cm = [[ 1.46159096e-03, 4.66127766e-04, 1.38655200e-02], + [ 2.26726368e-03, 1.26992553e-03, 1.85703520e-02], + [ 3.29899092e-03, 2.24934863e-03, 2.42390508e-02], + [ 4.54690615e-03, 3.39180156e-03, 3.09092475e-02], + [ 6.00552565e-03, 4.69194561e-03, 3.85578980e-02], + [ 7.67578856e-03, 6.13611626e-03, 4.68360336e-02], + [ 9.56051094e-03, 7.71344131e-03, 5.51430756e-02], + [ 1.16634769e-02, 9.41675403e-03, 6.34598080e-02], + [ 1.39950388e-02, 1.12247138e-02, 7.18616890e-02], + [ 1.65605595e-02, 1.31362262e-02, 8.02817951e-02], + [ 1.93732295e-02, 1.51325789e-02, 8.87668094e-02], + [ 2.24468865e-02, 1.71991484e-02, 9.73274383e-02], + [ 2.57927373e-02, 1.93306298e-02, 1.05929835e-01], + [ 2.94324251e-02, 2.15030771e-02, 1.14621328e-01], + [ 3.33852235e-02, 2.37024271e-02, 1.23397286e-01], + [ 3.76684211e-02, 2.59207864e-02, 1.32232108e-01], + [ 4.22525554e-02, 2.81385015e-02, 1.41140519e-01], + [ 4.69146287e-02, 3.03236129e-02, 1.50163867e-01], + [ 5.16437624e-02, 3.24736172e-02, 1.59254277e-01], + [ 5.64491009e-02, 3.45691867e-02, 1.68413539e-01], + [ 6.13397200e-02, 3.65900213e-02, 1.77642172e-01], + [ 6.63312620e-02, 3.85036268e-02, 1.86961588e-01], + [ 7.14289181e-02, 4.02939095e-02, 1.96353558e-01], + [ 7.66367560e-02, 4.19053329e-02, 2.05798788e-01], + [ 8.19620773e-02, 4.33278666e-02, 2.15289113e-01], + [ 8.74113897e-02, 4.45561662e-02, 2.24813479e-01], + [ 9.29901526e-02, 4.55829503e-02, 2.34357604e-01], + [ 9.87024972e-02, 4.64018731e-02, 2.43903700e-01], + [ 1.04550936e-01, 4.70080541e-02, 2.53430300e-01], + [ 1.10536084e-01, 4.73986708e-02, 2.62912235e-01], + [ 1.16656423e-01, 4.75735920e-02, 2.72320803e-01], + [ 1.22908126e-01, 4.75360183e-02, 2.81624170e-01], + [ 1.29284984e-01, 4.72930838e-02, 2.90788012e-01], + [ 1.35778450e-01, 4.68563678e-02, 2.99776404e-01], + [ 1.42377819e-01, 4.62422566e-02, 3.08552910e-01], + [ 1.49072957e-01, 4.54676444e-02, 3.17085139e-01], + [ 1.55849711e-01, 4.45588056e-02, 3.25338414e-01], + [ 1.62688939e-01, 4.35542881e-02, 3.33276678e-01], + [ 1.69575148e-01, 4.24893149e-02, 3.40874188e-01], + [ 1.76493202e-01, 4.14017089e-02, 3.48110606e-01], + [ 1.83428775e-01, 4.03288858e-02, 3.54971391e-01], + [ 1.90367453e-01, 3.93088888e-02, 3.61446945e-01], + [ 1.97297425e-01, 3.84001825e-02, 3.67534629e-01], + [ 2.04209298e-01, 3.76322609e-02, 3.73237557e-01], + [ 2.11095463e-01, 3.70296488e-02, 3.78563264e-01], + [ 2.17948648e-01, 3.66146049e-02, 3.83522415e-01], + [ 2.24762908e-01, 3.64049901e-02, 3.88128944e-01], + [ 2.31538148e-01, 3.64052511e-02, 3.92400150e-01], + [ 2.38272961e-01, 3.66209949e-02, 3.96353388e-01], + [ 2.44966911e-01, 3.70545017e-02, 4.00006615e-01], + [ 2.51620354e-01, 3.77052832e-02, 4.03377897e-01], + [ 2.58234265e-01, 3.85706153e-02, 4.06485031e-01], + [ 2.64809649e-01, 3.96468666e-02, 4.09345373e-01], + [ 2.71346664e-01, 4.09215821e-02, 4.11976086e-01], + [ 2.77849829e-01, 4.23528741e-02, 4.14392106e-01], + [ 2.84321318e-01, 4.39325787e-02, 4.16607861e-01], + [ 2.90763373e-01, 4.56437598e-02, 4.18636756e-01], + [ 2.97178251e-01, 4.74700293e-02, 4.20491164e-01], + [ 3.03568182e-01, 4.93958927e-02, 4.22182449e-01], + [ 3.09935342e-01, 5.14069729e-02, 4.23720999e-01], + [ 3.16281835e-01, 5.34901321e-02, 4.25116277e-01], + [ 3.22609671e-01, 5.56335178e-02, 4.26376869e-01], + [ 3.28920763e-01, 5.78265505e-02, 4.27510546e-01], + [ 3.35216916e-01, 6.00598734e-02, 4.28524320e-01], + [ 3.41499828e-01, 6.23252772e-02, 4.29424503e-01], + [ 3.47771086e-01, 6.46156100e-02, 4.30216765e-01], + [ 3.54032169e-01, 6.69246832e-02, 4.30906186e-01], + [ 3.60284449e-01, 6.92471753e-02, 4.31497309e-01], + [ 3.66529195e-01, 7.15785403e-02, 4.31994185e-01], + [ 3.72767575e-01, 7.39149211e-02, 4.32400419e-01], + [ 3.79000659e-01, 7.62530701e-02, 4.32719214e-01], + [ 3.85228383e-01, 7.85914864e-02, 4.32954973e-01], + [ 3.91452659e-01, 8.09267058e-02, 4.33108763e-01], + [ 3.97674379e-01, 8.32568129e-02, 4.33182647e-01], + [ 4.03894278e-01, 8.55803445e-02, 4.33178526e-01], + [ 4.10113015e-01, 8.78961593e-02, 4.33098056e-01], + [ 4.16331169e-01, 9.02033992e-02, 4.32942678e-01], + [ 4.22549249e-01, 9.25014543e-02, 4.32713635e-01], + [ 4.28767696e-01, 9.47899342e-02, 4.32411996e-01], + [ 4.34986885e-01, 9.70686417e-02, 4.32038673e-01], + [ 4.41207124e-01, 9.93375510e-02, 4.31594438e-01], + [ 4.47428382e-01, 1.01597079e-01, 4.31080497e-01], + [ 4.53650614e-01, 1.03847716e-01, 4.30497898e-01], + [ 4.59874623e-01, 1.06089165e-01, 4.29845789e-01], + [ 4.66100494e-01, 1.08321923e-01, 4.29124507e-01], + [ 4.72328255e-01, 1.10546584e-01, 4.28334320e-01], + [ 4.78557889e-01, 1.12763831e-01, 4.27475431e-01], + [ 4.84789325e-01, 1.14974430e-01, 4.26547991e-01], + [ 4.91022448e-01, 1.17179219e-01, 4.25552106e-01], + [ 4.97257069e-01, 1.19379132e-01, 4.24487908e-01], + [ 5.03492698e-01, 1.21575414e-01, 4.23356110e-01], + [ 5.09729541e-01, 1.23768654e-01, 4.22155676e-01], + [ 5.15967304e-01, 1.25959947e-01, 4.20886594e-01], + [ 5.22205646e-01, 1.28150439e-01, 4.19548848e-01], + [ 5.28444192e-01, 1.30341324e-01, 4.18142411e-01], + [ 5.34682523e-01, 1.32533845e-01, 4.16667258e-01], + [ 5.40920186e-01, 1.34729286e-01, 4.15123366e-01], + [ 5.47156706e-01, 1.36928959e-01, 4.13510662e-01], + [ 5.53391649e-01, 1.39134147e-01, 4.11828882e-01], + [ 5.59624442e-01, 1.41346265e-01, 4.10078028e-01], + [ 5.65854477e-01, 1.43566769e-01, 4.08258132e-01], + [ 5.72081108e-01, 1.45797150e-01, 4.06369246e-01], + [ 5.78303656e-01, 1.48038934e-01, 4.04411444e-01], + [ 5.84521407e-01, 1.50293679e-01, 4.02384829e-01], + [ 5.90733615e-01, 1.52562977e-01, 4.00289528e-01], + [ 5.96939751e-01, 1.54848232e-01, 3.98124897e-01], + [ 6.03138930e-01, 1.57151161e-01, 3.95891308e-01], + [ 6.09330184e-01, 1.59473549e-01, 3.93589349e-01], + [ 6.15512627e-01, 1.61817111e-01, 3.91219295e-01], + [ 6.21685340e-01, 1.64183582e-01, 3.88781456e-01], + [ 6.27847374e-01, 1.66574724e-01, 3.86276180e-01], + [ 6.33997746e-01, 1.68992314e-01, 3.83703854e-01], + [ 6.40135447e-01, 1.71438150e-01, 3.81064906e-01], + [ 6.46259648e-01, 1.73913876e-01, 3.78358969e-01], + [ 6.52369348e-01, 1.76421271e-01, 3.75586209e-01], + [ 6.58463166e-01, 1.78962399e-01, 3.72748214e-01], + [ 6.64539964e-01, 1.81539111e-01, 3.69845599e-01], + [ 6.70598572e-01, 1.84153268e-01, 3.66879025e-01], + [ 6.76637795e-01, 1.86806728e-01, 3.63849195e-01], + [ 6.82656407e-01, 1.89501352e-01, 3.60756856e-01], + [ 6.88653158e-01, 1.92238994e-01, 3.57602797e-01], + [ 6.94626769e-01, 1.95021500e-01, 3.54387853e-01], + [ 7.00575937e-01, 1.97850703e-01, 3.51112900e-01], + [ 7.06499709e-01, 2.00728196e-01, 3.47776863e-01], + [ 7.12396345e-01, 2.03656029e-01, 3.44382594e-01], + [ 7.18264447e-01, 2.06635993e-01, 3.40931208e-01], + [ 7.24102613e-01, 2.09669834e-01, 3.37423766e-01], + [ 7.29909422e-01, 2.12759270e-01, 3.33861367e-01], + [ 7.35683432e-01, 2.15905976e-01, 3.30245147e-01], + [ 7.41423185e-01, 2.19111589e-01, 3.26576275e-01], + [ 7.47127207e-01, 2.22377697e-01, 3.22855952e-01], + [ 7.52794009e-01, 2.25705837e-01, 3.19085410e-01], + [ 7.58422090e-01, 2.29097492e-01, 3.15265910e-01], + [ 7.64009940e-01, 2.32554083e-01, 3.11398734e-01], + [ 7.69556038e-01, 2.36076967e-01, 3.07485188e-01], + [ 7.75058888e-01, 2.39667435e-01, 3.03526312e-01], + [ 7.80517023e-01, 2.43326720e-01, 2.99522665e-01], + [ 7.85928794e-01, 2.47055968e-01, 2.95476756e-01], + [ 7.91292674e-01, 2.50856232e-01, 2.91389943e-01], + [ 7.96607144e-01, 2.54728485e-01, 2.87263585e-01], + [ 8.01870689e-01, 2.58673610e-01, 2.83099033e-01], + [ 8.07081807e-01, 2.62692401e-01, 2.78897629e-01], + [ 8.12239008e-01, 2.66785558e-01, 2.74660698e-01], + [ 8.17340818e-01, 2.70953688e-01, 2.70389545e-01], + [ 8.22385784e-01, 2.75197300e-01, 2.66085445e-01], + [ 8.27372474e-01, 2.79516805e-01, 2.61749643e-01], + [ 8.32299481e-01, 2.83912516e-01, 2.57383341e-01], + [ 8.37165425e-01, 2.88384647e-01, 2.52987700e-01], + [ 8.41968959e-01, 2.92933312e-01, 2.48563825e-01], + [ 8.46708768e-01, 2.97558528e-01, 2.44112767e-01], + [ 8.51383572e-01, 3.02260213e-01, 2.39635512e-01], + [ 8.55992130e-01, 3.07038188e-01, 2.35132978e-01], + [ 8.60533241e-01, 3.11892183e-01, 2.30606009e-01], + [ 8.65005747e-01, 3.16821833e-01, 2.26055368e-01], + [ 8.69408534e-01, 3.21826685e-01, 2.21481734e-01], + [ 8.73740530e-01, 3.26906201e-01, 2.16885699e-01], + [ 8.78000715e-01, 3.32059760e-01, 2.12267762e-01], + [ 8.82188112e-01, 3.37286663e-01, 2.07628326e-01], + [ 8.86301795e-01, 3.42586137e-01, 2.02967696e-01], + [ 8.90340885e-01, 3.47957340e-01, 1.98286080e-01], + [ 8.94304553e-01, 3.53399363e-01, 1.93583583e-01], + [ 8.98192017e-01, 3.58911240e-01, 1.88860212e-01], + [ 9.02002544e-01, 3.64491949e-01, 1.84115876e-01], + [ 9.05735448e-01, 3.70140419e-01, 1.79350388e-01], + [ 9.09390090e-01, 3.75855533e-01, 1.74563472e-01], + [ 9.12965874e-01, 3.81636138e-01, 1.69754764e-01], + [ 9.16462251e-01, 3.87481044e-01, 1.64923826e-01], + [ 9.19878710e-01, 3.93389034e-01, 1.60070152e-01], + [ 9.23214783e-01, 3.99358867e-01, 1.55193185e-01], + [ 9.26470039e-01, 4.05389282e-01, 1.50292329e-01], + [ 9.29644083e-01, 4.11479007e-01, 1.45366973e-01], + [ 9.32736555e-01, 4.17626756e-01, 1.40416519e-01], + [ 9.35747126e-01, 4.23831237e-01, 1.35440416e-01], + [ 9.38675494e-01, 4.30091162e-01, 1.30438175e-01], + [ 9.41521384e-01, 4.36405243e-01, 1.25409440e-01], + [ 9.44284543e-01, 4.42772199e-01, 1.20354038e-01], + [ 9.46964741e-01, 4.49190757e-01, 1.15272059e-01], + [ 9.49561766e-01, 4.55659658e-01, 1.10163947e-01], + [ 9.52075421e-01, 4.62177656e-01, 1.05030614e-01], + [ 9.54505523e-01, 4.68743522e-01, 9.98735931e-02], + [ 9.56851903e-01, 4.75356048e-01, 9.46952268e-02], + [ 9.59114397e-01, 4.82014044e-01, 8.94989073e-02], + [ 9.61292850e-01, 4.88716345e-01, 8.42893891e-02], + [ 9.63387110e-01, 4.95461806e-01, 7.90731907e-02], + [ 9.65397031e-01, 5.02249309e-01, 7.38591143e-02], + [ 9.67322465e-01, 5.09077761e-01, 6.86589199e-02], + [ 9.69163264e-01, 5.15946092e-01, 6.34881971e-02], + [ 9.70919277e-01, 5.22853259e-01, 5.83674890e-02], + [ 9.72590351e-01, 5.29798246e-01, 5.33237243e-02], + [ 9.74176327e-01, 5.36780059e-01, 4.83920090e-02], + [ 9.75677038e-01, 5.43797733e-01, 4.36177922e-02], + [ 9.77092313e-01, 5.50850323e-01, 3.90500131e-02], + [ 9.78421971e-01, 5.57936911e-01, 3.49306227e-02], + [ 9.79665824e-01, 5.65056600e-01, 3.14091591e-02], + [ 9.80823673e-01, 5.72208516e-01, 2.85075931e-02], + [ 9.81895311e-01, 5.79391803e-01, 2.62497353e-02], + [ 9.82880522e-01, 5.86605627e-01, 2.46613416e-02], + [ 9.83779081e-01, 5.93849168e-01, 2.37702263e-02], + [ 9.84590755e-01, 6.01121626e-01, 2.36063833e-02], + [ 9.85315301e-01, 6.08422211e-01, 2.42021174e-02], + [ 9.85952471e-01, 6.15750147e-01, 2.55921853e-02], + [ 9.86502013e-01, 6.23104667e-01, 2.78139496e-02], + [ 9.86963670e-01, 6.30485011e-01, 3.09075459e-02], + [ 9.87337182e-01, 6.37890424e-01, 3.49160639e-02], + [ 9.87622296e-01, 6.45320152e-01, 3.98857472e-02], + [ 9.87818759e-01, 6.52773439e-01, 4.55808037e-02], + [ 9.87926330e-01, 6.60249526e-01, 5.17503867e-02], + [ 9.87944783e-01, 6.67747641e-01, 5.83286889e-02], + [ 9.87873910e-01, 6.75267000e-01, 6.52570167e-02], + [ 9.87713535e-01, 6.82806802e-01, 7.24892330e-02], + [ 9.87463516e-01, 6.90366218e-01, 7.99897176e-02], + [ 9.87123759e-01, 6.97944391e-01, 8.77314215e-02], + [ 9.86694229e-01, 7.05540424e-01, 9.56941797e-02], + [ 9.86174970e-01, 7.13153375e-01, 1.03863324e-01], + [ 9.85565739e-01, 7.20782460e-01, 1.12228756e-01], + [ 9.84865203e-01, 7.28427497e-01, 1.20784651e-01], + [ 9.84075129e-01, 7.36086521e-01, 1.29526579e-01], + [ 9.83195992e-01, 7.43758326e-01, 1.38453063e-01], + [ 9.82228463e-01, 7.51441596e-01, 1.47564573e-01], + [ 9.81173457e-01, 7.59134892e-01, 1.56863224e-01], + [ 9.80032178e-01, 7.66836624e-01, 1.66352544e-01], + [ 9.78806183e-01, 7.74545028e-01, 1.76037298e-01], + [ 9.77497453e-01, 7.82258138e-01, 1.85923357e-01], + [ 9.76108474e-01, 7.89973753e-01, 1.96017589e-01], + [ 9.74637842e-01, 7.97691563e-01, 2.06331925e-01], + [ 9.73087939e-01, 8.05409333e-01, 2.16876839e-01], + [ 9.71467822e-01, 8.13121725e-01, 2.27658046e-01], + [ 9.69783146e-01, 8.20825143e-01, 2.38685942e-01], + [ 9.68040817e-01, 8.28515491e-01, 2.49971582e-01], + [ 9.66242589e-01, 8.36190976e-01, 2.61533898e-01], + [ 9.64393924e-01, 8.43848069e-01, 2.73391112e-01], + [ 9.62516656e-01, 8.51476340e-01, 2.85545675e-01], + [ 9.60625545e-01, 8.59068716e-01, 2.98010219e-01], + [ 9.58720088e-01, 8.66624355e-01, 3.10820466e-01], + [ 9.56834075e-01, 8.74128569e-01, 3.23973947e-01], + [ 9.54997177e-01, 8.81568926e-01, 3.37475479e-01], + [ 9.53215092e-01, 8.88942277e-01, 3.51368713e-01], + [ 9.51546225e-01, 8.96225909e-01, 3.65627005e-01], + [ 9.50018481e-01, 9.03409063e-01, 3.80271225e-01], + [ 9.48683391e-01, 9.10472964e-01, 3.95289169e-01], + [ 9.47594362e-01, 9.17399053e-01, 4.10665194e-01], + [ 9.46809163e-01, 9.24168246e-01, 4.26373236e-01], + [ 9.46391536e-01, 9.30760752e-01, 4.42367495e-01], + [ 9.46402951e-01, 9.37158971e-01, 4.58591507e-01], + [ 9.46902568e-01, 9.43347775e-01, 4.74969778e-01], + [ 9.47936825e-01, 9.49317522e-01, 4.91426053e-01], + [ 9.49544830e-01, 9.55062900e-01, 5.07859649e-01], + [ 9.51740304e-01, 9.60586693e-01, 5.24203026e-01], + [ 9.54529281e-01, 9.65895868e-01, 5.40360752e-01], + [ 9.57896053e-01, 9.71003330e-01, 5.56275090e-01], + [ 9.61812020e-01, 9.75924241e-01, 5.71925382e-01], + [ 9.66248822e-01, 9.80678193e-01, 5.87205773e-01], + [ 9.71161622e-01, 9.85282161e-01, 6.02154330e-01], + [ 9.76510983e-01, 9.89753437e-01, 6.16760413e-01], + [ 9.82257307e-01, 9.94108844e-01, 6.31017009e-01], + [ 9.88362068e-01, 9.98364143e-01, 6.44924005e-01]]; +if nargin < 1 + cm_data = cm; +else + hsv=rgb2hsv(cm); + hsv(144:end,1)=hsv(144:end,1)+1; % hardcoded + cm_data=interp1(linspace(0,1,size(cm,1)),hsv,linspace(0,1,m)); + cm_data(cm_data(:,1)>1,1)=cm_data(cm_data(:,1)>1,1)-1; + cm_data=hsv2rgb(cm_data); + +end +end \ No newline at end of file diff --git a/Data-Analyzer/Deprecated/+Colormaps/magma.m b/Data-Analyzer/Deprecated/+Colormaps/magma.m new file mode 100644 index 0000000..a8c3516 --- /dev/null +++ b/Data-Analyzer/Deprecated/+Colormaps/magma.m @@ -0,0 +1,271 @@ +function [cm_data]=magma(m) + +cm = [[ 1.46159096e-03, 4.66127766e-04, 1.38655200e-02], + [ 2.25764007e-03, 1.29495431e-03, 1.83311461e-02], + [ 3.27943222e-03, 2.30452991e-03, 2.37083291e-02], + [ 4.51230222e-03, 3.49037666e-03, 2.99647059e-02], + [ 5.94976987e-03, 4.84285000e-03, 3.71296695e-02], + [ 7.58798550e-03, 6.35613622e-03, 4.49730774e-02], + [ 9.42604390e-03, 8.02185006e-03, 5.28443561e-02], + [ 1.14654337e-02, 9.82831486e-03, 6.07496380e-02], + [ 1.37075706e-02, 1.17705913e-02, 6.86665843e-02], + [ 1.61557566e-02, 1.38404966e-02, 7.66026660e-02], + [ 1.88153670e-02, 1.60262753e-02, 8.45844897e-02], + [ 2.16919340e-02, 1.83201254e-02, 9.26101050e-02], + [ 2.47917814e-02, 2.07147875e-02, 1.00675555e-01], + [ 2.81228154e-02, 2.32009284e-02, 1.08786954e-01], + [ 3.16955304e-02, 2.57651161e-02, 1.16964722e-01], + [ 3.55204468e-02, 2.83974570e-02, 1.25209396e-01], + [ 3.96084872e-02, 3.10895652e-02, 1.33515085e-01], + [ 4.38295350e-02, 3.38299885e-02, 1.41886249e-01], + [ 4.80616391e-02, 3.66066101e-02, 1.50326989e-01], + [ 5.23204388e-02, 3.94066020e-02, 1.58841025e-01], + [ 5.66148978e-02, 4.21598925e-02, 1.67445592e-01], + [ 6.09493930e-02, 4.47944924e-02, 1.76128834e-01], + [ 6.53301801e-02, 4.73177796e-02, 1.84891506e-01], + [ 6.97637296e-02, 4.97264666e-02, 1.93735088e-01], + [ 7.42565152e-02, 5.20167766e-02, 2.02660374e-01], + [ 7.88150034e-02, 5.41844801e-02, 2.11667355e-01], + [ 8.34456313e-02, 5.62249365e-02, 2.20755099e-01], + [ 8.81547730e-02, 5.81331465e-02, 2.29921611e-01], + [ 9.29486914e-02, 5.99038167e-02, 2.39163669e-01], + [ 9.78334770e-02, 6.15314414e-02, 2.48476662e-01], + [ 1.02814972e-01, 6.30104053e-02, 2.57854400e-01], + [ 1.07898679e-01, 6.43351102e-02, 2.67288933e-01], + [ 1.13094451e-01, 6.54920358e-02, 2.76783978e-01], + [ 1.18405035e-01, 6.64791593e-02, 2.86320656e-01], + [ 1.23832651e-01, 6.72946449e-02, 2.95879431e-01], + [ 1.29380192e-01, 6.79349264e-02, 3.05442931e-01], + [ 1.35053322e-01, 6.83912798e-02, 3.14999890e-01], + [ 1.40857952e-01, 6.86540710e-02, 3.24537640e-01], + [ 1.46785234e-01, 6.87382323e-02, 3.34011109e-01], + [ 1.52839217e-01, 6.86368599e-02, 3.43404450e-01], + [ 1.59017511e-01, 6.83540225e-02, 3.52688028e-01], + [ 1.65308131e-01, 6.79108689e-02, 3.61816426e-01], + [ 1.71713033e-01, 6.73053260e-02, 3.70770827e-01], + [ 1.78211730e-01, 6.65758073e-02, 3.79497161e-01], + [ 1.84800877e-01, 6.57324381e-02, 3.87972507e-01], + [ 1.91459745e-01, 6.48183312e-02, 3.96151969e-01], + [ 1.98176877e-01, 6.38624166e-02, 4.04008953e-01], + [ 2.04934882e-01, 6.29066192e-02, 4.11514273e-01], + [ 2.11718061e-01, 6.19917876e-02, 4.18646741e-01], + [ 2.18511590e-01, 6.11584918e-02, 4.25391816e-01], + [ 2.25302032e-01, 6.04451843e-02, 4.31741767e-01], + [ 2.32076515e-01, 5.98886855e-02, 4.37694665e-01], + [ 2.38825991e-01, 5.95170384e-02, 4.43255999e-01], + [ 2.45543175e-01, 5.93524384e-02, 4.48435938e-01], + [ 2.52220252e-01, 5.94147119e-02, 4.53247729e-01], + [ 2.58857304e-01, 5.97055998e-02, 4.57709924e-01], + [ 2.65446744e-01, 6.02368754e-02, 4.61840297e-01], + [ 2.71994089e-01, 6.09935552e-02, 4.65660375e-01], + [ 2.78493300e-01, 6.19778136e-02, 4.69190328e-01], + [ 2.84951097e-01, 6.31676261e-02, 4.72450879e-01], + [ 2.91365817e-01, 6.45534486e-02, 4.75462193e-01], + [ 2.97740413e-01, 6.61170432e-02, 4.78243482e-01], + [ 3.04080941e-01, 6.78353452e-02, 4.80811572e-01], + [ 3.10382027e-01, 6.97024767e-02, 4.83186340e-01], + [ 3.16654235e-01, 7.16895272e-02, 4.85380429e-01], + [ 3.22899126e-01, 7.37819504e-02, 4.87408399e-01], + [ 3.29114038e-01, 7.59715081e-02, 4.89286796e-01], + [ 3.35307503e-01, 7.82361045e-02, 4.91024144e-01], + [ 3.41481725e-01, 8.05635079e-02, 4.92631321e-01], + [ 3.47635742e-01, 8.29463512e-02, 4.94120923e-01], + [ 3.53773161e-01, 8.53726329e-02, 4.95501096e-01], + [ 3.59897941e-01, 8.78311772e-02, 4.96778331e-01], + [ 3.66011928e-01, 9.03143031e-02, 4.97959963e-01], + [ 3.72116205e-01, 9.28159917e-02, 4.99053326e-01], + [ 3.78210547e-01, 9.53322947e-02, 5.00066568e-01], + [ 3.84299445e-01, 9.78549106e-02, 5.01001964e-01], + [ 3.90384361e-01, 1.00379466e-01, 5.01864236e-01], + [ 3.96466670e-01, 1.02902194e-01, 5.02657590e-01], + [ 4.02547663e-01, 1.05419865e-01, 5.03385761e-01], + [ 4.08628505e-01, 1.07929771e-01, 5.04052118e-01], + [ 4.14708664e-01, 1.10431177e-01, 5.04661843e-01], + [ 4.20791157e-01, 1.12920210e-01, 5.05214935e-01], + [ 4.26876965e-01, 1.15395258e-01, 5.05713602e-01], + [ 4.32967001e-01, 1.17854987e-01, 5.06159754e-01], + [ 4.39062114e-01, 1.20298314e-01, 5.06555026e-01], + [ 4.45163096e-01, 1.22724371e-01, 5.06900806e-01], + [ 4.51270678e-01, 1.25132484e-01, 5.07198258e-01], + [ 4.57385535e-01, 1.27522145e-01, 5.07448336e-01], + [ 4.63508291e-01, 1.29892998e-01, 5.07651812e-01], + [ 4.69639514e-01, 1.32244819e-01, 5.07809282e-01], + [ 4.75779723e-01, 1.34577500e-01, 5.07921193e-01], + [ 4.81928997e-01, 1.36891390e-01, 5.07988509e-01], + [ 4.88088169e-01, 1.39186217e-01, 5.08010737e-01], + [ 4.94257673e-01, 1.41462106e-01, 5.07987836e-01], + [ 5.00437834e-01, 1.43719323e-01, 5.07919772e-01], + [ 5.06628929e-01, 1.45958202e-01, 5.07806420e-01], + [ 5.12831195e-01, 1.48179144e-01, 5.07647570e-01], + [ 5.19044825e-01, 1.50382611e-01, 5.07442938e-01], + [ 5.25269968e-01, 1.52569121e-01, 5.07192172e-01], + [ 5.31506735e-01, 1.54739247e-01, 5.06894860e-01], + [ 5.37755194e-01, 1.56893613e-01, 5.06550538e-01], + [ 5.44015371e-01, 1.59032895e-01, 5.06158696e-01], + [ 5.50287252e-01, 1.61157816e-01, 5.05718782e-01], + [ 5.56570783e-01, 1.63269149e-01, 5.05230210e-01], + [ 5.62865867e-01, 1.65367714e-01, 5.04692365e-01], + [ 5.69172368e-01, 1.67454379e-01, 5.04104606e-01], + [ 5.75490107e-01, 1.69530062e-01, 5.03466273e-01], + [ 5.81818864e-01, 1.71595728e-01, 5.02776690e-01], + [ 5.88158375e-01, 1.73652392e-01, 5.02035167e-01], + [ 5.94508337e-01, 1.75701122e-01, 5.01241011e-01], + [ 6.00868399e-01, 1.77743036e-01, 5.00393522e-01], + [ 6.07238169e-01, 1.79779309e-01, 4.99491999e-01], + [ 6.13617209e-01, 1.81811170e-01, 4.98535746e-01], + [ 6.20005032e-01, 1.83839907e-01, 4.97524075e-01], + [ 6.26401108e-01, 1.85866869e-01, 4.96456304e-01], + [ 6.32804854e-01, 1.87893468e-01, 4.95331769e-01], + [ 6.39215638e-01, 1.89921182e-01, 4.94149821e-01], + [ 6.45632778e-01, 1.91951556e-01, 4.92909832e-01], + [ 6.52055535e-01, 1.93986210e-01, 4.91611196e-01], + [ 6.58483116e-01, 1.96026835e-01, 4.90253338e-01], + [ 6.64914668e-01, 1.98075202e-01, 4.88835712e-01], + [ 6.71349279e-01, 2.00133166e-01, 4.87357807e-01], + [ 6.77785975e-01, 2.02202663e-01, 4.85819154e-01], + [ 6.84223712e-01, 2.04285721e-01, 4.84219325e-01], + [ 6.90661380e-01, 2.06384461e-01, 4.82557941e-01], + [ 6.97097796e-01, 2.08501100e-01, 4.80834678e-01], + [ 7.03531700e-01, 2.10637956e-01, 4.79049270e-01], + [ 7.09961888e-01, 2.12797337e-01, 4.77201121e-01], + [ 7.16387038e-01, 2.14981693e-01, 4.75289780e-01], + [ 7.22805451e-01, 2.17193831e-01, 4.73315708e-01], + [ 7.29215521e-01, 2.19436516e-01, 4.71278924e-01], + [ 7.35615545e-01, 2.21712634e-01, 4.69179541e-01], + [ 7.42003713e-01, 2.24025196e-01, 4.67017774e-01], + [ 7.48378107e-01, 2.26377345e-01, 4.64793954e-01], + [ 7.54736692e-01, 2.28772352e-01, 4.62508534e-01], + [ 7.61077312e-01, 2.31213625e-01, 4.60162106e-01], + [ 7.67397681e-01, 2.33704708e-01, 4.57755411e-01], + [ 7.73695380e-01, 2.36249283e-01, 4.55289354e-01], + [ 7.79967847e-01, 2.38851170e-01, 4.52765022e-01], + [ 7.86212372e-01, 2.41514325e-01, 4.50183695e-01], + [ 7.92426972e-01, 2.44242250e-01, 4.47543155e-01], + [ 7.98607760e-01, 2.47039798e-01, 4.44848441e-01], + [ 8.04751511e-01, 2.49911350e-01, 4.42101615e-01], + [ 8.10854841e-01, 2.52861399e-01, 4.39304963e-01], + [ 8.16914186e-01, 2.55894550e-01, 4.36461074e-01], + [ 8.22925797e-01, 2.59015505e-01, 4.33572874e-01], + [ 8.28885740e-01, 2.62229049e-01, 4.30643647e-01], + [ 8.34790818e-01, 2.65539703e-01, 4.27671352e-01], + [ 8.40635680e-01, 2.68952874e-01, 4.24665620e-01], + [ 8.46415804e-01, 2.72473491e-01, 4.21631064e-01], + [ 8.52126490e-01, 2.76106469e-01, 4.18572767e-01], + [ 8.57762870e-01, 2.79856666e-01, 4.15496319e-01], + [ 8.63320397e-01, 2.83729003e-01, 4.12402889e-01], + [ 8.68793368e-01, 2.87728205e-01, 4.09303002e-01], + [ 8.74176342e-01, 2.91858679e-01, 4.06205397e-01], + [ 8.79463944e-01, 2.96124596e-01, 4.03118034e-01], + [ 8.84650824e-01, 3.00530090e-01, 4.00047060e-01], + [ 8.89731418e-01, 3.05078817e-01, 3.97001559e-01], + [ 8.94700194e-01, 3.09773445e-01, 3.93994634e-01], + [ 8.99551884e-01, 3.14616425e-01, 3.91036674e-01], + [ 9.04281297e-01, 3.19609981e-01, 3.88136889e-01], + [ 9.08883524e-01, 3.24755126e-01, 3.85308008e-01], + [ 9.13354091e-01, 3.30051947e-01, 3.82563414e-01], + [ 9.17688852e-01, 3.35500068e-01, 3.79915138e-01], + [ 9.21884187e-01, 3.41098112e-01, 3.77375977e-01], + [ 9.25937102e-01, 3.46843685e-01, 3.74959077e-01], + [ 9.29845090e-01, 3.52733817e-01, 3.72676513e-01], + [ 9.33606454e-01, 3.58764377e-01, 3.70540883e-01], + [ 9.37220874e-01, 3.64929312e-01, 3.68566525e-01], + [ 9.40687443e-01, 3.71224168e-01, 3.66761699e-01], + [ 9.44006448e-01, 3.77642889e-01, 3.65136328e-01], + [ 9.47179528e-01, 3.84177874e-01, 3.63701130e-01], + [ 9.50210150e-01, 3.90819546e-01, 3.62467694e-01], + [ 9.53099077e-01, 3.97562894e-01, 3.61438431e-01], + [ 9.55849237e-01, 4.04400213e-01, 3.60619076e-01], + [ 9.58464079e-01, 4.11323666e-01, 3.60014232e-01], + [ 9.60949221e-01, 4.18323245e-01, 3.59629789e-01], + [ 9.63310281e-01, 4.25389724e-01, 3.59469020e-01], + [ 9.65549351e-01, 4.32518707e-01, 3.59529151e-01], + [ 9.67671128e-01, 4.39702976e-01, 3.59810172e-01], + [ 9.69680441e-01, 4.46935635e-01, 3.60311120e-01], + [ 9.71582181e-01, 4.54210170e-01, 3.61030156e-01], + [ 9.73381238e-01, 4.61520484e-01, 3.61964652e-01], + [ 9.75082439e-01, 4.68860936e-01, 3.63111292e-01], + [ 9.76690494e-01, 4.76226350e-01, 3.64466162e-01], + [ 9.78209957e-01, 4.83612031e-01, 3.66024854e-01], + [ 9.79645181e-01, 4.91013764e-01, 3.67782559e-01], + [ 9.81000291e-01, 4.98427800e-01, 3.69734157e-01], + [ 9.82279159e-01, 5.05850848e-01, 3.71874301e-01], + [ 9.83485387e-01, 5.13280054e-01, 3.74197501e-01], + [ 9.84622298e-01, 5.20712972e-01, 3.76698186e-01], + [ 9.85692925e-01, 5.28147545e-01, 3.79370774e-01], + [ 9.86700017e-01, 5.35582070e-01, 3.82209724e-01], + [ 9.87646038e-01, 5.43015173e-01, 3.85209578e-01], + [ 9.88533173e-01, 5.50445778e-01, 3.88365009e-01], + [ 9.89363341e-01, 5.57873075e-01, 3.91670846e-01], + [ 9.90138201e-01, 5.65296495e-01, 3.95122099e-01], + [ 9.90871208e-01, 5.72706259e-01, 3.98713971e-01], + [ 9.91558165e-01, 5.80106828e-01, 4.02441058e-01], + [ 9.92195728e-01, 5.87501706e-01, 4.06298792e-01], + [ 9.92784669e-01, 5.94891088e-01, 4.10282976e-01], + [ 9.93325561e-01, 6.02275297e-01, 4.14389658e-01], + [ 9.93834412e-01, 6.09643540e-01, 4.18613221e-01], + [ 9.94308514e-01, 6.16998953e-01, 4.22949672e-01], + [ 9.94737698e-01, 6.24349657e-01, 4.27396771e-01], + [ 9.95121854e-01, 6.31696376e-01, 4.31951492e-01], + [ 9.95480469e-01, 6.39026596e-01, 4.36607159e-01], + [ 9.95809924e-01, 6.46343897e-01, 4.41360951e-01], + [ 9.96095703e-01, 6.53658756e-01, 4.46213021e-01], + [ 9.96341406e-01, 6.60969379e-01, 4.51160201e-01], + [ 9.96579803e-01, 6.68255621e-01, 4.56191814e-01], + [ 9.96774784e-01, 6.75541484e-01, 4.61314158e-01], + [ 9.96925427e-01, 6.82827953e-01, 4.66525689e-01], + [ 9.97077185e-01, 6.90087897e-01, 4.71811461e-01], + [ 9.97186253e-01, 6.97348991e-01, 4.77181727e-01], + [ 9.97253982e-01, 7.04610791e-01, 4.82634651e-01], + [ 9.97325180e-01, 7.11847714e-01, 4.88154375e-01], + [ 9.97350983e-01, 7.19089119e-01, 4.93754665e-01], + [ 9.97350583e-01, 7.26324415e-01, 4.99427972e-01], + [ 9.97341259e-01, 7.33544671e-01, 5.05166839e-01], + [ 9.97284689e-01, 7.40771893e-01, 5.10983331e-01], + [ 9.97228367e-01, 7.47980563e-01, 5.16859378e-01], + [ 9.97138480e-01, 7.55189852e-01, 5.22805996e-01], + [ 9.97019342e-01, 7.62397883e-01, 5.28820775e-01], + [ 9.96898254e-01, 7.69590975e-01, 5.34892341e-01], + [ 9.96726862e-01, 7.76794860e-01, 5.41038571e-01], + [ 9.96570645e-01, 7.83976508e-01, 5.47232992e-01], + [ 9.96369065e-01, 7.91167346e-01, 5.53498939e-01], + [ 9.96162309e-01, 7.98347709e-01, 5.59819643e-01], + [ 9.95932448e-01, 8.05527126e-01, 5.66201824e-01], + [ 9.95680107e-01, 8.12705773e-01, 5.72644795e-01], + [ 9.95423973e-01, 8.19875302e-01, 5.79140130e-01], + [ 9.95131288e-01, 8.27051773e-01, 5.85701463e-01], + [ 9.94851089e-01, 8.34212826e-01, 5.92307093e-01], + [ 9.94523666e-01, 8.41386618e-01, 5.98982818e-01], + [ 9.94221900e-01, 8.48540474e-01, 6.05695903e-01], + [ 9.93865767e-01, 8.55711038e-01, 6.12481798e-01], + [ 9.93545285e-01, 8.62858846e-01, 6.19299300e-01], + [ 9.93169558e-01, 8.70024467e-01, 6.26189463e-01], + [ 9.92830963e-01, 8.77168404e-01, 6.33109148e-01], + [ 9.92439881e-01, 8.84329694e-01, 6.40099465e-01], + [ 9.92089454e-01, 8.91469549e-01, 6.47116021e-01], + [ 9.91687744e-01, 8.98627050e-01, 6.54201544e-01], + [ 9.91331929e-01, 9.05762748e-01, 6.61308839e-01], + [ 9.90929685e-01, 9.12915010e-01, 6.68481201e-01], + [ 9.90569914e-01, 9.20048699e-01, 6.75674592e-01], + [ 9.90174637e-01, 9.27195612e-01, 6.82925602e-01], + [ 9.89814839e-01, 9.34328540e-01, 6.90198194e-01], + [ 9.89433736e-01, 9.41470354e-01, 6.97518628e-01], + [ 9.89077438e-01, 9.48604077e-01, 7.04862519e-01], + [ 9.88717064e-01, 9.55741520e-01, 7.12242232e-01], + [ 9.88367028e-01, 9.62878026e-01, 7.19648627e-01], + [ 9.88032885e-01, 9.70012413e-01, 7.27076773e-01], + [ 9.87690702e-01, 9.77154231e-01, 7.34536205e-01], + [ 9.87386827e-01, 9.84287561e-01, 7.42001547e-01], + [ 9.87052509e-01, 9.91437853e-01, 7.49504188e-01]]; + + +if nargin < 1 + cm_data = cm; +else + hsv=rgb2hsv(cm); + hsv(170:end,1)=hsv(170:end,1)+1; % hardcoded + cm_data=interp1(linspace(0,1,size(cm,1)),hsv,linspace(0,1,m)); + cm_data(cm_data(:,1)>1,1)=cm_data(cm_data(:,1)>1,1)-1; + cm_data=hsv2rgb(cm_data); + +end +end diff --git a/Data-Analyzer/Deprecated/+Colormaps/plasma.m b/Data-Analyzer/Deprecated/+Colormaps/plasma.m new file mode 100644 index 0000000..367fcb7 --- /dev/null +++ b/Data-Analyzer/Deprecated/+Colormaps/plasma.m @@ -0,0 +1,270 @@ +function cm_data=plasma(m) + +cm = [[ 5.03832136e-02, 2.98028976e-02, 5.27974883e-01], + [ 6.35363639e-02, 2.84259729e-02, 5.33123681e-01], + [ 7.53531234e-02, 2.72063728e-02, 5.38007001e-01], + [ 8.62217979e-02, 2.61253206e-02, 5.42657691e-01], + [ 9.63786097e-02, 2.51650976e-02, 5.47103487e-01], + [ 1.05979704e-01, 2.43092436e-02, 5.51367851e-01], + [ 1.15123641e-01, 2.35562500e-02, 5.55467728e-01], + [ 1.23902903e-01, 2.28781011e-02, 5.59423480e-01], + [ 1.32380720e-01, 2.22583774e-02, 5.63250116e-01], + [ 1.40603076e-01, 2.16866674e-02, 5.66959485e-01], + [ 1.48606527e-01, 2.11535876e-02, 5.70561711e-01], + [ 1.56420649e-01, 2.06507174e-02, 5.74065446e-01], + [ 1.64069722e-01, 2.01705326e-02, 5.77478074e-01], + [ 1.71573925e-01, 1.97063415e-02, 5.80805890e-01], + [ 1.78950212e-01, 1.92522243e-02, 5.84054243e-01], + [ 1.86212958e-01, 1.88029767e-02, 5.87227661e-01], + [ 1.93374449e-01, 1.83540593e-02, 5.90329954e-01], + [ 2.00445260e-01, 1.79015512e-02, 5.93364304e-01], + [ 2.07434551e-01, 1.74421086e-02, 5.96333341e-01], + [ 2.14350298e-01, 1.69729276e-02, 5.99239207e-01], + [ 2.21196750e-01, 1.64970484e-02, 6.02083323e-01], + [ 2.27982971e-01, 1.60071509e-02, 6.04867403e-01], + [ 2.34714537e-01, 1.55015065e-02, 6.07592438e-01], + [ 2.41396253e-01, 1.49791041e-02, 6.10259089e-01], + [ 2.48032377e-01, 1.44393586e-02, 6.12867743e-01], + [ 2.54626690e-01, 1.38820918e-02, 6.15418537e-01], + [ 2.61182562e-01, 1.33075156e-02, 6.17911385e-01], + [ 2.67702993e-01, 1.27162163e-02, 6.20345997e-01], + [ 2.74190665e-01, 1.21091423e-02, 6.22721903e-01], + [ 2.80647969e-01, 1.14875915e-02, 6.25038468e-01], + [ 2.87076059e-01, 1.08554862e-02, 6.27294975e-01], + [ 2.93477695e-01, 1.02128849e-02, 6.29490490e-01], + [ 2.99855122e-01, 9.56079551e-03, 6.31623923e-01], + [ 3.06209825e-01, 8.90185346e-03, 6.33694102e-01], + [ 3.12543124e-01, 8.23900704e-03, 6.35699759e-01], + [ 3.18856183e-01, 7.57551051e-03, 6.37639537e-01], + [ 3.25150025e-01, 6.91491734e-03, 6.39512001e-01], + [ 3.31425547e-01, 6.26107379e-03, 6.41315649e-01], + [ 3.37683446e-01, 5.61830889e-03, 6.43048936e-01], + [ 3.43924591e-01, 4.99053080e-03, 6.44710195e-01], + [ 3.50149699e-01, 4.38202557e-03, 6.46297711e-01], + [ 3.56359209e-01, 3.79781761e-03, 6.47809772e-01], + [ 3.62553473e-01, 3.24319591e-03, 6.49244641e-01], + [ 3.68732762e-01, 2.72370721e-03, 6.50600561e-01], + [ 3.74897270e-01, 2.24514897e-03, 6.51875762e-01], + [ 3.81047116e-01, 1.81356205e-03, 6.53068467e-01], + [ 3.87182639e-01, 1.43446923e-03, 6.54176761e-01], + [ 3.93304010e-01, 1.11388259e-03, 6.55198755e-01], + [ 3.99410821e-01, 8.59420809e-04, 6.56132835e-01], + [ 4.05502914e-01, 6.78091517e-04, 6.56977276e-01], + [ 4.11580082e-01, 5.77101735e-04, 6.57730380e-01], + [ 4.17642063e-01, 5.63847476e-04, 6.58390492e-01], + [ 4.23688549e-01, 6.45902780e-04, 6.58956004e-01], + [ 4.29719186e-01, 8.31008207e-04, 6.59425363e-01], + [ 4.35733575e-01, 1.12705875e-03, 6.59797077e-01], + [ 4.41732123e-01, 1.53984779e-03, 6.60069009e-01], + [ 4.47713600e-01, 2.07954744e-03, 6.60240367e-01], + [ 4.53677394e-01, 2.75470302e-03, 6.60309966e-01], + [ 4.59622938e-01, 3.57374415e-03, 6.60276655e-01], + [ 4.65549631e-01, 4.54518084e-03, 6.60139383e-01], + [ 4.71456847e-01, 5.67758762e-03, 6.59897210e-01], + [ 4.77343929e-01, 6.97958743e-03, 6.59549311e-01], + [ 4.83210198e-01, 8.45983494e-03, 6.59094989e-01], + [ 4.89054951e-01, 1.01269996e-02, 6.58533677e-01], + [ 4.94877466e-01, 1.19897486e-02, 6.57864946e-01], + [ 5.00677687e-01, 1.40550640e-02, 6.57087561e-01], + [ 5.06454143e-01, 1.63333443e-02, 6.56202294e-01], + [ 5.12206035e-01, 1.88332232e-02, 6.55209222e-01], + [ 5.17932580e-01, 2.15631918e-02, 6.54108545e-01], + [ 5.23632990e-01, 2.45316468e-02, 6.52900629e-01], + [ 5.29306474e-01, 2.77468735e-02, 6.51586010e-01], + [ 5.34952244e-01, 3.12170300e-02, 6.50165396e-01], + [ 5.40569510e-01, 3.49501310e-02, 6.48639668e-01], + [ 5.46157494e-01, 3.89540334e-02, 6.47009884e-01], + [ 5.51715423e-01, 4.31364795e-02, 6.45277275e-01], + [ 5.57242538e-01, 4.73307585e-02, 6.43443250e-01], + [ 5.62738096e-01, 5.15448092e-02, 6.41509389e-01], + [ 5.68201372e-01, 5.57776706e-02, 6.39477440e-01], + [ 5.73631859e-01, 6.00281369e-02, 6.37348841e-01], + [ 5.79028682e-01, 6.42955547e-02, 6.35126108e-01], + [ 5.84391137e-01, 6.85790261e-02, 6.32811608e-01], + [ 5.89718606e-01, 7.28775875e-02, 6.30407727e-01], + [ 5.95010505e-01, 7.71902878e-02, 6.27916992e-01], + [ 6.00266283e-01, 8.15161895e-02, 6.25342058e-01], + [ 6.05485428e-01, 8.58543713e-02, 6.22685703e-01], + [ 6.10667469e-01, 9.02039303e-02, 6.19950811e-01], + [ 6.15811974e-01, 9.45639838e-02, 6.17140367e-01], + [ 6.20918555e-01, 9.89336721e-02, 6.14257440e-01], + [ 6.25986869e-01, 1.03312160e-01, 6.11305174e-01], + [ 6.31016615e-01, 1.07698641e-01, 6.08286774e-01], + [ 6.36007543e-01, 1.12092335e-01, 6.05205491e-01], + [ 6.40959444e-01, 1.16492495e-01, 6.02064611e-01], + [ 6.45872158e-01, 1.20898405e-01, 5.98867442e-01], + [ 6.50745571e-01, 1.25309384e-01, 5.95617300e-01], + [ 6.55579615e-01, 1.29724785e-01, 5.92317494e-01], + [ 6.60374266e-01, 1.34143997e-01, 5.88971318e-01], + [ 6.65129493e-01, 1.38566428e-01, 5.85582301e-01], + [ 6.69845385e-01, 1.42991540e-01, 5.82153572e-01], + [ 6.74522060e-01, 1.47418835e-01, 5.78688247e-01], + [ 6.79159664e-01, 1.51847851e-01, 5.75189431e-01], + [ 6.83758384e-01, 1.56278163e-01, 5.71660158e-01], + [ 6.88318440e-01, 1.60709387e-01, 5.68103380e-01], + [ 6.92840088e-01, 1.65141174e-01, 5.64521958e-01], + [ 6.97323615e-01, 1.69573215e-01, 5.60918659e-01], + [ 7.01769334e-01, 1.74005236e-01, 5.57296144e-01], + [ 7.06177590e-01, 1.78437000e-01, 5.53656970e-01], + [ 7.10548747e-01, 1.82868306e-01, 5.50003579e-01], + [ 7.14883195e-01, 1.87298986e-01, 5.46338299e-01], + [ 7.19181339e-01, 1.91728906e-01, 5.42663338e-01], + [ 7.23443604e-01, 1.96157962e-01, 5.38980786e-01], + [ 7.27670428e-01, 2.00586086e-01, 5.35292612e-01], + [ 7.31862231e-01, 2.05013174e-01, 5.31600995e-01], + [ 7.36019424e-01, 2.09439071e-01, 5.27908434e-01], + [ 7.40142557e-01, 2.13863965e-01, 5.24215533e-01], + [ 7.44232102e-01, 2.18287899e-01, 5.20523766e-01], + [ 7.48288533e-01, 2.22710942e-01, 5.16834495e-01], + [ 7.52312321e-01, 2.27133187e-01, 5.13148963e-01], + [ 7.56303937e-01, 2.31554749e-01, 5.09468305e-01], + [ 7.60263849e-01, 2.35975765e-01, 5.05793543e-01], + [ 7.64192516e-01, 2.40396394e-01, 5.02125599e-01], + [ 7.68090391e-01, 2.44816813e-01, 4.98465290e-01], + [ 7.71957916e-01, 2.49237220e-01, 4.94813338e-01], + [ 7.75795522e-01, 2.53657797e-01, 4.91170517e-01], + [ 7.79603614e-01, 2.58078397e-01, 4.87539124e-01], + [ 7.83382636e-01, 2.62499662e-01, 4.83917732e-01], + [ 7.87132978e-01, 2.66921859e-01, 4.80306702e-01], + [ 7.90855015e-01, 2.71345267e-01, 4.76706319e-01], + [ 7.94549101e-01, 2.75770179e-01, 4.73116798e-01], + [ 7.98215577e-01, 2.80196901e-01, 4.69538286e-01], + [ 8.01854758e-01, 2.84625750e-01, 4.65970871e-01], + [ 8.05466945e-01, 2.89057057e-01, 4.62414580e-01], + [ 8.09052419e-01, 2.93491117e-01, 4.58869577e-01], + [ 8.12611506e-01, 2.97927865e-01, 4.55337565e-01], + [ 8.16144382e-01, 3.02368130e-01, 4.51816385e-01], + [ 8.19651255e-01, 3.06812282e-01, 4.48305861e-01], + [ 8.23132309e-01, 3.11260703e-01, 4.44805781e-01], + [ 8.26587706e-01, 3.15713782e-01, 4.41315901e-01], + [ 8.30017584e-01, 3.20171913e-01, 4.37835947e-01], + [ 8.33422053e-01, 3.24635499e-01, 4.34365616e-01], + [ 8.36801237e-01, 3.29104836e-01, 4.30905052e-01], + [ 8.40155276e-01, 3.33580106e-01, 4.27454836e-01], + [ 8.43484103e-01, 3.38062109e-01, 4.24013059e-01], + [ 8.46787726e-01, 3.42551272e-01, 4.20579333e-01], + [ 8.50066132e-01, 3.47048028e-01, 4.17153264e-01], + [ 8.53319279e-01, 3.51552815e-01, 4.13734445e-01], + [ 8.56547103e-01, 3.56066072e-01, 4.10322469e-01], + [ 8.59749520e-01, 3.60588229e-01, 4.06916975e-01], + [ 8.62926559e-01, 3.65119408e-01, 4.03518809e-01], + [ 8.66077920e-01, 3.69660446e-01, 4.00126027e-01], + [ 8.69203436e-01, 3.74211795e-01, 3.96738211e-01], + [ 8.72302917e-01, 3.78773910e-01, 3.93354947e-01], + [ 8.75376149e-01, 3.83347243e-01, 3.89975832e-01], + [ 8.78422895e-01, 3.87932249e-01, 3.86600468e-01], + [ 8.81442916e-01, 3.92529339e-01, 3.83228622e-01], + [ 8.84435982e-01, 3.97138877e-01, 3.79860246e-01], + [ 8.87401682e-01, 4.01761511e-01, 3.76494232e-01], + [ 8.90339687e-01, 4.06397694e-01, 3.73130228e-01], + [ 8.93249647e-01, 4.11047871e-01, 3.69767893e-01], + [ 8.96131191e-01, 4.15712489e-01, 3.66406907e-01], + [ 8.98983931e-01, 4.20391986e-01, 3.63046965e-01], + [ 9.01807455e-01, 4.25086807e-01, 3.59687758e-01], + [ 9.04601295e-01, 4.29797442e-01, 3.56328796e-01], + [ 9.07364995e-01, 4.34524335e-01, 3.52969777e-01], + [ 9.10098088e-01, 4.39267908e-01, 3.49610469e-01], + [ 9.12800095e-01, 4.44028574e-01, 3.46250656e-01], + [ 9.15470518e-01, 4.48806744e-01, 3.42890148e-01], + [ 9.18108848e-01, 4.53602818e-01, 3.39528771e-01], + [ 9.20714383e-01, 4.58417420e-01, 3.36165582e-01], + [ 9.23286660e-01, 4.63250828e-01, 3.32800827e-01], + [ 9.25825146e-01, 4.68103387e-01, 3.29434512e-01], + [ 9.28329275e-01, 4.72975465e-01, 3.26066550e-01], + [ 9.30798469e-01, 4.77867420e-01, 3.22696876e-01], + [ 9.33232140e-01, 4.82779603e-01, 3.19325444e-01], + [ 9.35629684e-01, 4.87712357e-01, 3.15952211e-01], + [ 9.37990034e-01, 4.92666544e-01, 3.12575440e-01], + [ 9.40312939e-01, 4.97642038e-01, 3.09196628e-01], + [ 9.42597771e-01, 5.02639147e-01, 3.05815824e-01], + [ 9.44843893e-01, 5.07658169e-01, 3.02433101e-01], + [ 9.47050662e-01, 5.12699390e-01, 2.99048555e-01], + [ 9.49217427e-01, 5.17763087e-01, 2.95662308e-01], + [ 9.51343530e-01, 5.22849522e-01, 2.92274506e-01], + [ 9.53427725e-01, 5.27959550e-01, 2.88883445e-01], + [ 9.55469640e-01, 5.33093083e-01, 2.85490391e-01], + [ 9.57468770e-01, 5.38250172e-01, 2.82096149e-01], + [ 9.59424430e-01, 5.43431038e-01, 2.78700990e-01], + [ 9.61335930e-01, 5.48635890e-01, 2.75305214e-01], + [ 9.63202573e-01, 5.53864931e-01, 2.71909159e-01], + [ 9.65023656e-01, 5.59118349e-01, 2.68513200e-01], + [ 9.66798470e-01, 5.64396327e-01, 2.65117752e-01], + [ 9.68525639e-01, 5.69699633e-01, 2.61721488e-01], + [ 9.70204593e-01, 5.75028270e-01, 2.58325424e-01], + [ 9.71835007e-01, 5.80382015e-01, 2.54931256e-01], + [ 9.73416145e-01, 5.85761012e-01, 2.51539615e-01], + [ 9.74947262e-01, 5.91165394e-01, 2.48151200e-01], + [ 9.76427606e-01, 5.96595287e-01, 2.44766775e-01], + [ 9.77856416e-01, 6.02050811e-01, 2.41387186e-01], + [ 9.79232922e-01, 6.07532077e-01, 2.38013359e-01], + [ 9.80556344e-01, 6.13039190e-01, 2.34646316e-01], + [ 9.81825890e-01, 6.18572250e-01, 2.31287178e-01], + [ 9.83040742e-01, 6.24131362e-01, 2.27937141e-01], + [ 9.84198924e-01, 6.29717516e-01, 2.24595006e-01], + [ 9.85300760e-01, 6.35329876e-01, 2.21264889e-01], + [ 9.86345421e-01, 6.40968508e-01, 2.17948456e-01], + [ 9.87332067e-01, 6.46633475e-01, 2.14647532e-01], + [ 9.88259846e-01, 6.52324832e-01, 2.11364122e-01], + [ 9.89127893e-01, 6.58042630e-01, 2.08100426e-01], + [ 9.89935328e-01, 6.63786914e-01, 2.04858855e-01], + [ 9.90681261e-01, 6.69557720e-01, 2.01642049e-01], + [ 9.91364787e-01, 6.75355082e-01, 1.98452900e-01], + [ 9.91984990e-01, 6.81179025e-01, 1.95294567e-01], + [ 9.92540939e-01, 6.87029567e-01, 1.92170500e-01], + [ 9.93031693e-01, 6.92906719e-01, 1.89084459e-01], + [ 9.93456302e-01, 6.98810484e-01, 1.86040537e-01], + [ 9.93813802e-01, 7.04740854e-01, 1.83043180e-01], + [ 9.94103226e-01, 7.10697814e-01, 1.80097207e-01], + [ 9.94323596e-01, 7.16681336e-01, 1.77207826e-01], + [ 9.94473934e-01, 7.22691379e-01, 1.74380656e-01], + [ 9.94553260e-01, 7.28727890e-01, 1.71621733e-01], + [ 9.94560594e-01, 7.34790799e-01, 1.68937522e-01], + [ 9.94494964e-01, 7.40880020e-01, 1.66334918e-01], + [ 9.94355411e-01, 7.46995448e-01, 1.63821243e-01], + [ 9.94140989e-01, 7.53136955e-01, 1.61404226e-01], + [ 9.93850778e-01, 7.59304390e-01, 1.59091984e-01], + [ 9.93482190e-01, 7.65498551e-01, 1.56890625e-01], + [ 9.93033251e-01, 7.71719833e-01, 1.54807583e-01], + [ 9.92505214e-01, 7.77966775e-01, 1.52854862e-01], + [ 9.91897270e-01, 7.84239120e-01, 1.51041581e-01], + [ 9.91208680e-01, 7.90536569e-01, 1.49376885e-01], + [ 9.90438793e-01, 7.96858775e-01, 1.47869810e-01], + [ 9.89587065e-01, 8.03205337e-01, 1.46529128e-01], + [ 9.88647741e-01, 8.09578605e-01, 1.45357284e-01], + [ 9.87620557e-01, 8.15977942e-01, 1.44362644e-01], + [ 9.86509366e-01, 8.22400620e-01, 1.43556679e-01], + [ 9.85314198e-01, 8.28845980e-01, 1.42945116e-01], + [ 9.84031139e-01, 8.35315360e-01, 1.42528388e-01], + [ 9.82652820e-01, 8.41811730e-01, 1.42302653e-01], + [ 9.81190389e-01, 8.48328902e-01, 1.42278607e-01], + [ 9.79643637e-01, 8.54866468e-01, 1.42453425e-01], + [ 9.77994918e-01, 8.61432314e-01, 1.42808191e-01], + [ 9.76264977e-01, 8.68015998e-01, 1.43350944e-01], + [ 9.74443038e-01, 8.74622194e-01, 1.44061156e-01], + [ 9.72530009e-01, 8.81250063e-01, 1.44922913e-01], + [ 9.70532932e-01, 8.87896125e-01, 1.45918663e-01], + [ 9.68443477e-01, 8.94563989e-01, 1.47014438e-01], + [ 9.66271225e-01, 9.01249365e-01, 1.48179639e-01], + [ 9.64021057e-01, 9.07950379e-01, 1.49370428e-01], + [ 9.61681481e-01, 9.14672479e-01, 1.50520343e-01], + [ 9.59275646e-01, 9.21406537e-01, 1.51566019e-01], + [ 9.56808068e-01, 9.28152065e-01, 1.52409489e-01], + [ 9.54286813e-01, 9.34907730e-01, 1.52921158e-01], + [ 9.51726083e-01, 9.41670605e-01, 1.52925363e-01], + [ 9.49150533e-01, 9.48434900e-01, 1.52177604e-01], + [ 9.46602270e-01, 9.55189860e-01, 1.50327944e-01], + [ 9.44151742e-01, 9.61916487e-01, 1.46860789e-01], + [ 9.41896120e-01, 9.68589814e-01, 1.40955606e-01], + [ 9.40015097e-01, 9.75158357e-01, 1.31325517e-01]]; + +if nargin < 1 + cm_data = cm; +else + hsv=rgb2hsv(cm); + hsv(153:end,1)=hsv(153:end,1)+1; % hardcoded + cm_data=interp1(linspace(0,1,size(cm,1)),hsv,linspace(0,1,m)); + cm_data(cm_data(:,1)>1,1)=cm_data(cm_data(:,1)>1,1)-1; + cm_data=hsv2rgb(cm_data); + +end +end \ No newline at end of file diff --git a/Data-Analyzer/Deprecated/+Colormaps/viridis.m b/Data-Analyzer/Deprecated/+Colormaps/viridis.m new file mode 100644 index 0000000..6b85a81 --- /dev/null +++ b/Data-Analyzer/Deprecated/+Colormaps/viridis.m @@ -0,0 +1,267 @@ +function cm_data=viridis(m) +cm = [[ 0.26700401, 0.00487433, 0.32941519], + [ 0.26851048, 0.00960483, 0.33542652], + [ 0.26994384, 0.01462494, 0.34137895], + [ 0.27130489, 0.01994186, 0.34726862], + [ 0.27259384, 0.02556309, 0.35309303], + [ 0.27380934, 0.03149748, 0.35885256], + [ 0.27495242, 0.03775181, 0.36454323], + [ 0.27602238, 0.04416723, 0.37016418], + [ 0.2770184 , 0.05034437, 0.37571452], + [ 0.27794143, 0.05632444, 0.38119074], + [ 0.27879067, 0.06214536, 0.38659204], + [ 0.2795655 , 0.06783587, 0.39191723], + [ 0.28026658, 0.07341724, 0.39716349], + [ 0.28089358, 0.07890703, 0.40232944], + [ 0.28144581, 0.0843197 , 0.40741404], + [ 0.28192358, 0.08966622, 0.41241521], + [ 0.28232739, 0.09495545, 0.41733086], + [ 0.28265633, 0.10019576, 0.42216032], + [ 0.28291049, 0.10539345, 0.42690202], + [ 0.28309095, 0.11055307, 0.43155375], + [ 0.28319704, 0.11567966, 0.43611482], + [ 0.28322882, 0.12077701, 0.44058404], + [ 0.28318684, 0.12584799, 0.44496 ], + [ 0.283072 , 0.13089477, 0.44924127], + [ 0.28288389, 0.13592005, 0.45342734], + [ 0.28262297, 0.14092556, 0.45751726], + [ 0.28229037, 0.14591233, 0.46150995], + [ 0.28188676, 0.15088147, 0.46540474], + [ 0.28141228, 0.15583425, 0.46920128], + [ 0.28086773, 0.16077132, 0.47289909], + [ 0.28025468, 0.16569272, 0.47649762], + [ 0.27957399, 0.17059884, 0.47999675], + [ 0.27882618, 0.1754902 , 0.48339654], + [ 0.27801236, 0.18036684, 0.48669702], + [ 0.27713437, 0.18522836, 0.48989831], + [ 0.27619376, 0.19007447, 0.49300074], + [ 0.27519116, 0.1949054 , 0.49600488], + [ 0.27412802, 0.19972086, 0.49891131], + [ 0.27300596, 0.20452049, 0.50172076], + [ 0.27182812, 0.20930306, 0.50443413], + [ 0.27059473, 0.21406899, 0.50705243], + [ 0.26930756, 0.21881782, 0.50957678], + [ 0.26796846, 0.22354911, 0.5120084 ], + [ 0.26657984, 0.2282621 , 0.5143487 ], + [ 0.2651445 , 0.23295593, 0.5165993 ], + [ 0.2636632 , 0.23763078, 0.51876163], + [ 0.26213801, 0.24228619, 0.52083736], + [ 0.26057103, 0.2469217 , 0.52282822], + [ 0.25896451, 0.25153685, 0.52473609], + [ 0.25732244, 0.2561304 , 0.52656332], + [ 0.25564519, 0.26070284, 0.52831152], + [ 0.25393498, 0.26525384, 0.52998273], + [ 0.25219404, 0.26978306, 0.53157905], + [ 0.25042462, 0.27429024, 0.53310261], + [ 0.24862899, 0.27877509, 0.53455561], + [ 0.2468114 , 0.28323662, 0.53594093], + [ 0.24497208, 0.28767547, 0.53726018], + [ 0.24311324, 0.29209154, 0.53851561], + [ 0.24123708, 0.29648471, 0.53970946], + [ 0.23934575, 0.30085494, 0.54084398], + [ 0.23744138, 0.30520222, 0.5419214 ], + [ 0.23552606, 0.30952657, 0.54294396], + [ 0.23360277, 0.31382773, 0.54391424], + [ 0.2316735 , 0.3181058 , 0.54483444], + [ 0.22973926, 0.32236127, 0.54570633], + [ 0.22780192, 0.32659432, 0.546532 ], + [ 0.2258633 , 0.33080515, 0.54731353], + [ 0.22392515, 0.334994 , 0.54805291], + [ 0.22198915, 0.33916114, 0.54875211], + [ 0.22005691, 0.34330688, 0.54941304], + [ 0.21812995, 0.34743154, 0.55003755], + [ 0.21620971, 0.35153548, 0.55062743], + [ 0.21429757, 0.35561907, 0.5511844 ], + [ 0.21239477, 0.35968273, 0.55171011], + [ 0.2105031 , 0.36372671, 0.55220646], + [ 0.20862342, 0.36775151, 0.55267486], + [ 0.20675628, 0.37175775, 0.55311653], + [ 0.20490257, 0.37574589, 0.55353282], + [ 0.20306309, 0.37971644, 0.55392505], + [ 0.20123854, 0.38366989, 0.55429441], + [ 0.1994295 , 0.38760678, 0.55464205], + [ 0.1976365 , 0.39152762, 0.55496905], + [ 0.19585993, 0.39543297, 0.55527637], + [ 0.19410009, 0.39932336, 0.55556494], + [ 0.19235719, 0.40319934, 0.55583559], + [ 0.19063135, 0.40706148, 0.55608907], + [ 0.18892259, 0.41091033, 0.55632606], + [ 0.18723083, 0.41474645, 0.55654717], + [ 0.18555593, 0.4185704 , 0.55675292], + [ 0.18389763, 0.42238275, 0.55694377], + [ 0.18225561, 0.42618405, 0.5571201 ], + [ 0.18062949, 0.42997486, 0.55728221], + [ 0.17901879, 0.43375572, 0.55743035], + [ 0.17742298, 0.4375272 , 0.55756466], + [ 0.17584148, 0.44128981, 0.55768526], + [ 0.17427363, 0.4450441 , 0.55779216], + [ 0.17271876, 0.4487906 , 0.55788532], + [ 0.17117615, 0.4525298 , 0.55796464], + [ 0.16964573, 0.45626209, 0.55803034], + [ 0.16812641, 0.45998802, 0.55808199], + [ 0.1666171 , 0.46370813, 0.55811913], + [ 0.16511703, 0.4674229 , 0.55814141], + [ 0.16362543, 0.47113278, 0.55814842], + [ 0.16214155, 0.47483821, 0.55813967], + [ 0.16066467, 0.47853961, 0.55811466], + [ 0.15919413, 0.4822374 , 0.5580728 ], + [ 0.15772933, 0.48593197, 0.55801347], + [ 0.15626973, 0.4896237 , 0.557936 ], + [ 0.15481488, 0.49331293, 0.55783967], + [ 0.15336445, 0.49700003, 0.55772371], + [ 0.1519182 , 0.50068529, 0.55758733], + [ 0.15047605, 0.50436904, 0.55742968], + [ 0.14903918, 0.50805136, 0.5572505 ], + [ 0.14760731, 0.51173263, 0.55704861], + [ 0.14618026, 0.51541316, 0.55682271], + [ 0.14475863, 0.51909319, 0.55657181], + [ 0.14334327, 0.52277292, 0.55629491], + [ 0.14193527, 0.52645254, 0.55599097], + [ 0.14053599, 0.53013219, 0.55565893], + [ 0.13914708, 0.53381201, 0.55529773], + [ 0.13777048, 0.53749213, 0.55490625], + [ 0.1364085 , 0.54117264, 0.55448339], + [ 0.13506561, 0.54485335, 0.55402906], + [ 0.13374299, 0.54853458, 0.55354108], + [ 0.13244401, 0.55221637, 0.55301828], + [ 0.13117249, 0.55589872, 0.55245948], + [ 0.1299327 , 0.55958162, 0.55186354], + [ 0.12872938, 0.56326503, 0.55122927], + [ 0.12756771, 0.56694891, 0.55055551], + [ 0.12645338, 0.57063316, 0.5498411 ], + [ 0.12539383, 0.57431754, 0.54908564], + [ 0.12439474, 0.57800205, 0.5482874 ], + [ 0.12346281, 0.58168661, 0.54744498], + [ 0.12260562, 0.58537105, 0.54655722], + [ 0.12183122, 0.58905521, 0.54562298], + [ 0.12114807, 0.59273889, 0.54464114], + [ 0.12056501, 0.59642187, 0.54361058], + [ 0.12009154, 0.60010387, 0.54253043], + [ 0.11973756, 0.60378459, 0.54139999], + [ 0.11951163, 0.60746388, 0.54021751], + [ 0.11942341, 0.61114146, 0.53898192], + [ 0.11948255, 0.61481702, 0.53769219], + [ 0.11969858, 0.61849025, 0.53634733], + [ 0.12008079, 0.62216081, 0.53494633], + [ 0.12063824, 0.62582833, 0.53348834], + [ 0.12137972, 0.62949242, 0.53197275], + [ 0.12231244, 0.63315277, 0.53039808], + [ 0.12344358, 0.63680899, 0.52876343], + [ 0.12477953, 0.64046069, 0.52706792], + [ 0.12632581, 0.64410744, 0.52531069], + [ 0.12808703, 0.64774881, 0.52349092], + [ 0.13006688, 0.65138436, 0.52160791], + [ 0.13226797, 0.65501363, 0.51966086], + [ 0.13469183, 0.65863619, 0.5176488 ], + [ 0.13733921, 0.66225157, 0.51557101], + [ 0.14020991, 0.66585927, 0.5134268 ], + [ 0.14330291, 0.66945881, 0.51121549], + [ 0.1466164 , 0.67304968, 0.50893644], + [ 0.15014782, 0.67663139, 0.5065889 ], + [ 0.15389405, 0.68020343, 0.50417217], + [ 0.15785146, 0.68376525, 0.50168574], + [ 0.16201598, 0.68731632, 0.49912906], + [ 0.1663832 , 0.69085611, 0.49650163], + [ 0.1709484 , 0.69438405, 0.49380294], + [ 0.17570671, 0.6978996 , 0.49103252], + [ 0.18065314, 0.70140222, 0.48818938], + [ 0.18578266, 0.70489133, 0.48527326], + [ 0.19109018, 0.70836635, 0.48228395], + [ 0.19657063, 0.71182668, 0.47922108], + [ 0.20221902, 0.71527175, 0.47608431], + [ 0.20803045, 0.71870095, 0.4728733 ], + [ 0.21400015, 0.72211371, 0.46958774], + [ 0.22012381, 0.72550945, 0.46622638], + [ 0.2263969 , 0.72888753, 0.46278934], + [ 0.23281498, 0.73224735, 0.45927675], + [ 0.2393739 , 0.73558828, 0.45568838], + [ 0.24606968, 0.73890972, 0.45202405], + [ 0.25289851, 0.74221104, 0.44828355], + [ 0.25985676, 0.74549162, 0.44446673], + [ 0.26694127, 0.74875084, 0.44057284], + [ 0.27414922, 0.75198807, 0.4366009 ], + [ 0.28147681, 0.75520266, 0.43255207], + [ 0.28892102, 0.75839399, 0.42842626], + [ 0.29647899, 0.76156142, 0.42422341], + [ 0.30414796, 0.76470433, 0.41994346], + [ 0.31192534, 0.76782207, 0.41558638], + [ 0.3198086 , 0.77091403, 0.41115215], + [ 0.3277958 , 0.77397953, 0.40664011], + [ 0.33588539, 0.7770179 , 0.40204917], + [ 0.34407411, 0.78002855, 0.39738103], + [ 0.35235985, 0.78301086, 0.39263579], + [ 0.36074053, 0.78596419, 0.38781353], + [ 0.3692142 , 0.78888793, 0.38291438], + [ 0.37777892, 0.79178146, 0.3779385 ], + [ 0.38643282, 0.79464415, 0.37288606], + [ 0.39517408, 0.79747541, 0.36775726], + [ 0.40400101, 0.80027461, 0.36255223], + [ 0.4129135 , 0.80304099, 0.35726893], + [ 0.42190813, 0.80577412, 0.35191009], + [ 0.43098317, 0.80847343, 0.34647607], + [ 0.44013691, 0.81113836, 0.3409673 ], + [ 0.44936763, 0.81376835, 0.33538426], + [ 0.45867362, 0.81636288, 0.32972749], + [ 0.46805314, 0.81892143, 0.32399761], + [ 0.47750446, 0.82144351, 0.31819529], + [ 0.4870258 , 0.82392862, 0.31232133], + [ 0.49661536, 0.82637633, 0.30637661], + [ 0.5062713 , 0.82878621, 0.30036211], + [ 0.51599182, 0.83115784, 0.29427888], + [ 0.52577622, 0.83349064, 0.2881265 ], + [ 0.5356211 , 0.83578452, 0.28190832], + [ 0.5455244 , 0.83803918, 0.27562602], + [ 0.55548397, 0.84025437, 0.26928147], + [ 0.5654976 , 0.8424299 , 0.26287683], + [ 0.57556297, 0.84456561, 0.25641457], + [ 0.58567772, 0.84666139, 0.24989748], + [ 0.59583934, 0.84871722, 0.24332878], + [ 0.60604528, 0.8507331 , 0.23671214], + [ 0.61629283, 0.85270912, 0.23005179], + [ 0.62657923, 0.85464543, 0.22335258], + [ 0.63690157, 0.85654226, 0.21662012], + [ 0.64725685, 0.85839991, 0.20986086], + [ 0.65764197, 0.86021878, 0.20308229], + [ 0.66805369, 0.86199932, 0.19629307], + [ 0.67848868, 0.86374211, 0.18950326], + [ 0.68894351, 0.86544779, 0.18272455], + [ 0.69941463, 0.86711711, 0.17597055], + [ 0.70989842, 0.86875092, 0.16925712], + [ 0.72039115, 0.87035015, 0.16260273], + [ 0.73088902, 0.87191584, 0.15602894], + [ 0.74138803, 0.87344918, 0.14956101], + [ 0.75188414, 0.87495143, 0.14322828], + [ 0.76237342, 0.87642392, 0.13706449], + [ 0.77285183, 0.87786808, 0.13110864], + [ 0.78331535, 0.87928545, 0.12540538], + [ 0.79375994, 0.88067763, 0.12000532], + [ 0.80418159, 0.88204632, 0.11496505], + [ 0.81457634, 0.88339329, 0.11034678], + [ 0.82494028, 0.88472036, 0.10621724], + [ 0.83526959, 0.88602943, 0.1026459 ], + [ 0.84556056, 0.88732243, 0.09970219], + [ 0.8558096 , 0.88860134, 0.09745186], + [ 0.86601325, 0.88986815, 0.09595277], + [ 0.87616824, 0.89112487, 0.09525046], + [ 0.88627146, 0.89237353, 0.09537439], + [ 0.89632002, 0.89361614, 0.09633538], + [ 0.90631121, 0.89485467, 0.09812496], + [ 0.91624212, 0.89609127, 0.1007168 ], + [ 0.92610579, 0.89732977, 0.10407067], + [ 0.93590444, 0.8985704 , 0.10813094], + [ 0.94563626, 0.899815 , 0.11283773], + [ 0.95529972, 0.90106534, 0.11812832], + [ 0.96489353, 0.90232311, 0.12394051], + [ 0.97441665, 0.90358991, 0.13021494], + [ 0.98386829, 0.90486726, 0.13689671], + [ 0.99324789, 0.90615657, 0.1439362 ]]; + +if nargin < 1 + cm_data = cm; +else + hsv=rgb2hsv(cm); + cm_data=interp1(linspace(0,1,size(cm,1)),hsv,linspace(0,1,m)); + cm_data=hsv2rgb(cm_data); + +end +end \ No newline at end of file diff --git a/Data-Analyzer/Deprecated/analyzePhaseTransitionSimulation.m b/Data-Analyzer/Deprecated/analyzePhaseTransitionSimulation.m index e9a3ae9..23bc5bb 100644 --- a/Data-Analyzer/Deprecated/analyzePhaseTransitionSimulation.m +++ b/Data-Analyzer/Deprecated/analyzePhaseTransitionSimulation.m @@ -3,22 +3,22 @@ baseDir = 'D:/Results - Numerics/Data_Full3D/PhaseTransition/DTS/Point2'; JobNumber = 0; runFolder = sprintf('Run_%03d', JobNumber); -movieFileName = 'DropletsToStripes.mp4'; % Output file name +savefileName = 'DropletsToStripes'; % Output file name datafileName = './DropletsToStripes.mat'; reverseOrder = false; % Set this to true to reverse the theta ordering -TitleString = 'Change across transition: Droplets To Stripes'; +TitleString = 'Droplets To Stripes'; %% baseDir = 'D:/Results - Numerics/Data_Full3D/PhaseTransition/STD/Point2'; JobNumber = 0; runFolder = sprintf('Run_%03d', JobNumber); -movieFileName = 'StripesToDroplets.mp4'; % Output file name +savefileName = 'StripesToDroplets'; % Output file name datafileName = './StripesToDroplets.mat'; reverseOrder = true; % Set this to true to reverse the theta ordering - TitleString = 'Change across transition: Stripes To Droplets'; +TitleString = 'Stripes To Droplets'; %% folderList = dir(baseDir); @@ -45,12 +45,12 @@ if reverseOrder end % Sort folderNames based on polar angle -[~, sortIdx] = sort(PolarAngleVals, sortDirection); -folderNames = folderNames(sortIdx); +[~, sortIdx] = sort(PolarAngleVals, sortDirection); +folderNames = folderNames(sortIdx); PolarAngleVals = PolarAngleVals(sortIdx); % Optional: if you still want sorted list -imgs = cell(1, nimgs); -alphas = zeros(1, nimgs); +imgs = cell(1, nimgs); +alphas = zeros(1, nimgs); for k = 1:nimgs folderName = folderNames{k}; @@ -85,36 +85,30 @@ for k = 1:nimgs if isgpuarray(Observ.residual) Observ.residual = gather(Observ.residual); end - + % Axes and projection - x = Transf.x * Params.l0 * 1e6; - y = Transf.y * Params.l0 * 1e6; z = Transf.z * Params.l0 * 1e6; - dx = x(2)-x(1); dy = y(2)-y(1); dz = z(2)-z(1); - - % Calculate frequency increment (frequency axes) - Nx = length(x); % grid size along X - Ny = length(y); % grid size along Y - dx = mean(diff(x)); % real space increment in the X direction (in micrometers) - dy = mean(diff(y)); % real space increment in the Y direction (in micrometers) - dvx = 1 / (Nx * dx); % reciprocal space increment in the X direction (in micrometers^-1) - dvy = 1 / (Ny * dy); % reciprocal space increment in the Y direction (in micrometers^-1) + dz = z(2)-z(1); - % Create the frequency axes - vx = (-Nx/2:Nx/2-1) * dvx; % Frequency axis in X (micrometers^-1) - vy = (-Ny/2:Ny/2-1) * dvy; % Frequency axis in Y (micrometers^-1) - - % Calculate maximum frequencies - % kx_max = pi / dx; - % ky_max = pi / dy; - - % Generate reciprocal axes - % kx = linspace(-kx_max, kx_max * (Nx-2)/Nx, Nx); - % ky = linspace(-ky_max, ky_max * (Ny-2)/Ny, Ny); - - % Create the Wavenumber axes - kx = 2*pi*vx; % Wavenumber axis in X - ky = 2*pi*vy; % Wavenumber axis in Y + if k == 1 + x = Transf.x * Params.l0 * 1e6; + y = Transf.y * Params.l0 * 1e6; + % Calculate frequency increment (frequency axes) + Nx = length(x); % grid size along X + Ny = length(y); % grid size along Y + dx = mean(diff(x)); % real space increment in the X direction (in micrometers) + dy = mean(diff(y)); % real space increment in the Y direction (in micrometers) + dvx = 1 / (Nx * dx); % reciprocal space increment in the X direction (in micrometers^-1) + dvy = 1 / (Ny * dy); % reciprocal space increment in the Y direction (in micrometers^-1) + + % Create the frequency axes + vx = (-Nx/2:Nx/2-1) * dvx; % Frequency axis in X (micrometers^-1) + vy = (-Ny/2:Ny/2-1) * dvy; % Frequency axis in Y (micrometers^-1) + + % Create the Wavenumber axes + kx_full = 2*pi*vx; % Wavenumber axis in X + ky_full = 2*pi*vy; % Wavenumber axis in Y + end n = abs(psi).^2; nxy = squeeze(trapz(n * dz, 3)); @@ -124,8 +118,8 @@ end %% Analyze Images - -makeMovie = true; % Set to false to disable movie creation +skipMovieRender = true; % Set to true to disable movie creation +skipSaveFigures = false; font = 'Bahnschrift'; skipPreprocessing = true; @@ -135,42 +129,95 @@ skipBinarization = true; % Run Fourier analysis over images -fft_imgs = cell(1, nimgs); -spectral_contrast = zeros(1, nimgs); -spectral_weight = zeros(1, nimgs); -g2_all = cell(1, nimgs); -theta_values_all = cell(1, nimgs); +fft_imgs = cell(1, nimgs); +angular_spectral_distribution = cell(1, nimgs); +theta_values = cell(1, nimgs); +radial_spectral_contrast = zeros(1, nimgs); +angular_spectral_weight = zeros(1, nimgs); +g2_all = cell(1, nimgs); +theta_values_all = cell(1, nimgs); -N_bins = 180; -Threshold = 25; -Sigma = 2; +N_shots = length(imgs); +ps_list = cell(1, N_shots); % 2D power spectrum +s_k_list = cell(1, N_shots); % Radial spectrum +s_theta_list = cell(1, N_shots); % Angular spectrum -if makeMovie +% Fourier analysis settings + +% Radial Spectral Distribution +theta_min = deg2rad(0); +theta_max = deg2rad(180); +N_radial_bins = 500; +Radial_Sigma = 2; +Radial_WindowSize = 5; % Choose an odd number for a centered moving average + +% Angular Spectral Distribution +k_min = 1.2771; % in μm⁻¹ +k_max = 2.5541; % in μm⁻¹ +N_angular_bins = 180; +Angular_Threshold = 25; +Angular_Sigma = 2; +Angular_WindowSize = 5; + +zoom_size = 50; % Zoomed-in region around center + +if ~skipMovieRender % Create VideoWriter object for movie - videoFile = VideoWriter(movieFileName, 'MPEG-4'); - videoFile.Quality = 100; % Set quality to maximum (0–100) + videoFile = VideoWriter([savefileName '.mp4'], 'MPEG-4'); + videoFile.Quality = 100; % Set quality to maximum (0–100) videoFile.FrameRate = 2; % Set the frame rate (frames per second) open(videoFile); % Open the video file to write end +if ~skipSaveFigures + % Define folder for saving images + saveFolder = [savefileName '_SavedFigures']; + if ~exist(saveFolder, 'dir') + mkdir(saveFolder); + end +end % Display the cropped image for k = 1:nimgs - IMG = imgs{k}; - [IMGFFT, IMGPR] = computeFourierTransform(IMG, skipPreprocessing, skipMasking, skipIntensityThresholding, skipBinarization); - [theta_vals, S_theta] = computeNormalizedAngularSpectralDistribution(IMGFFT, 10, 35, N_bins, Threshold, Sigma); - - g2 = zeros(1, N_bins); % Preallocate + IMG = imgs{k}; + if ~(max(IMG(:)) > 1) + IMGFFT = NaN(size(IMG)); + else + [IMGFFT, IMGPR] = computeFourierTransform(IMG, skipPreprocessing, skipMasking, skipIntensityThresholding, skipBinarization); + end - for dtheta = 0:N_bins-1 + % Crop FFT image around center + mid_x = floor(Nx/2); + mid_y = floor(Ny/2); + fft_imgs{k} = IMGFFT(mid_y-zoom_size:mid_y+zoom_size, mid_x-zoom_size:mid_x+zoom_size); + + % Crop wavenumber axes to match fft_imgs{k} + kx = kx_full(mid_x - zoom_size : mid_x + zoom_size); + ky = ky_full(mid_y - zoom_size : mid_y + zoom_size); + + [theta_vals, S_theta] = computeAngularSpectralDistribution(fft_imgs{k}, kx, ky, k_min, k_max, N_angular_bins, Angular_Threshold, Angular_Sigma, []); + [k_rho_vals, S_k] = computeRadialSpectralDistribution(fft_imgs{k}, kx, ky, theta_min, theta_max, N_radial_bins); + S_k_smoothed = movmean(S_k, Radial_WindowSize); % Compute moving average (use convolution) or use conv for more control + angular_spectral_distribution{k} = S_theta; + theta_values{k} = theta_vals; + radial_spectral_contrast(k) = computeRadialSpectralContrast(k_rho_vals, S_k_smoothed, k_min, k_max); + S_theta_norm = S_theta / max(S_theta); % Normalize to 1 + angular_spectral_weight(k) = trapz(theta_vals, S_theta_norm); + + g2 = zeros(1, N_angular_bins); % Preallocate + + for dtheta = 0:N_angular_bins-1 profile = S_theta; profile_shifted = circshift(profile, -dtheta, 2); num = mean(profile .* profile_shifted); - denom = mean(profile)^2; + denom = mean(profile.^2); - g2(dtheta+1) = num / denom - 1; + g2(dtheta+1) = num / denom; end + ps_list{k} = abs(fft_imgs{k}).^2; % store the power spectrum + s_k_list{k} = S_k_smoothed; % store smoothed radial spectrum + s_theta_list{k} = S_theta; % store angular spectrum g2_all{k} = g2; theta_values_all{k} = theta_vals; @@ -196,7 +243,7 @@ for k = 1:nimgs 'Color', 'white', 'FontWeight', 'bold', 'Interpreter', 'tex', 'FontSize', 20, 'Units', 'normalized', 'HorizontalAlignment', 'right', 'VerticalAlignment', 'top'); axis square; hcb = colorbar; - colormap(ax1, 'jet'); + colormap(ax1, Colormaps.plasma()); set(gca, 'FontSize', 14); % For tick labels only hL = ylabel(hcb, 'Optical Density'); set(hL,'Rotation',-90); @@ -210,103 +257,177 @@ for k = 1:nimgs set([hXLabel, hYLabel, hL], 'FontSize', 14) set(hTitle, 'FontName', font, 'FontSize', 16, 'FontWeight', 'bold'); % Set font and size for title - % Plot the power spectrum + % ======= FFT POWER SPECTRUM (reciprocal space) ======= ax2 = nexttile; - [rows, cols] = size(IMGFFT); - zoom_size = 50; % Zoomed-in region around center - mid_x = floor(cols/2); - mid_y = floor(rows/2); - fft_imgs{k} = IMGFFT(mid_y-zoom_size:mid_y+zoom_size, mid_x-zoom_size:mid_x+zoom_size); - imagesc(log(1 + abs(fft_imgs{k}).^2)); - % Define normalized positions (relative to axis limits) - x_offset = 0.025; % 5% offset from the edges - y_offset = 0.025; % 5% offset from the edges - axis square; - hcb = colorbar; - colormap(ax2, 'jet'); - set(gca, 'FontSize', 14); % For tick labels only - set(gca,'YDir','normal') - hXLabel = xlabel('k_x', 'Interpreter', 'tex'); - hYLabel = ylabel('k_y', 'Interpreter', 'tex'); - hTitle = title('Power Spectrum - S(k_x,k_y)', 'Interpreter', 'tex'); - set([hXLabel, hYLabel, hText], 'FontName', font) - set([hXLabel, hYLabel], 'FontSize', 14) - set(hTitle, 'FontName', font, 'FontSize', 16, 'FontWeight', 'bold'); % Set font and size for title - - % Plot the angular distribution - nexttile - spectral_contrast(k) = computeSpectralContrast(fft_imgs{k}, 10, 35, Threshold); - spectral_weight(k) = trapz(theta_vals, S_theta); - plot(theta_vals/pi, S_theta,'Linewidth',2); - axis square; - set(gca, 'FontSize', 14); % For tick labels only - hXLabel = xlabel('\theta/\pi [rad]', 'Interpreter', 'tex'); - hYLabel = ylabel('Normalized magnitude (a.u.)', 'Interpreter', 'tex'); - hTitle = title('Angular Spectral Distribution - S(\theta)', 'Interpreter', 'tex'); - set([hXLabel, hYLabel, hText], 'FontName', font) - set([hXLabel, hYLabel], 'FontSize', 14) - set(hTitle, 'FontName', font, 'FontSize', 16, 'FontWeight', 'bold'); % Set font and size for title - grid on - + imagesc(kx, ky, log(1 + ps_list{k})); + axis tight; + set(gca, 'FontSize', 14, 'YDir', 'normal') + xlabel('k_x [\mum^{-1}]', 'Interpreter', 'tex', 'FontSize', 14, 'FontName', font); + ylabel('k_y [\mum^{-1}]', 'Interpreter', 'tex', 'FontSize', 14, 'FontName', font); + title('Power Spectrum - S(k_x,k_y)', 'Interpreter', 'tex', ... + 'FontSize', 16, 'FontWeight', 'bold', 'FontName', font); + colorbar; + colormap(ax2, Colormaps.coolwarm()); + + % ======= ANGULAR DISTRIBUTION (S(θ)) ======= + nexttile; + plot(theta_vals/pi, S_theta_norm, 'LineWidth', 2); + axis image; + set(gca, 'FontSize', 14, 'YLim', [0, 1]); + xlabel('\theta/\pi [rad]', 'Interpreter', 'tex', 'FontSize', 14, 'FontName', font); + ylabel('Magnitude (a.u.)', 'Interpreter', 'tex', 'FontSize', 14, 'FontName', font); + title('Angular Spectral Distribution - S(\theta)', 'Interpreter', 'tex', ... + 'FontSize', 16, 'FontWeight', 'bold', 'FontName', font); + grid on; % Enable major grid + ax = gca; + ax.MinorGridLineStyle = ':'; % Optional: make minor grid dotted + ax.MinorGridColor = [0.7 0.7 0.7]; % Optional: light gray minor grid color + ax.MinorGridAlpha = 0.5; % Optional: transparency for minor grid + + ax.XMinorGrid = 'on'; % Enable minor grid for x-axis + ax.YMinorGrid = 'on'; % Enable minor grid for y-axis (if desired) + + % ======= ANGULAR CORRELATION g2(θ) ======= nexttile plot(theta_vals/pi, g2, 'o-', 'LineWidth', 1.2, 'MarkerSize', 5); set(gca, 'FontSize', 14); - ylim([-1.5 3.0]); % Set y-axis limits here + ylim([0.0 1.0]); % Set y-axis limits here hXLabel = xlabel('$\delta\theta / \pi$', 'Interpreter', 'latex'); hYLabel = ylabel('$g^{(2)}(\delta\theta)$', 'Interpreter', 'latex'); - hTitle = title('Autocorrelation', 'Interpreter', 'tex'); + hTitle = title('Angular Correlation', 'Interpreter', 'tex'); set([hXLabel, hYLabel], 'FontName', font) set([hXLabel, hYLabel], 'FontSize', 14) set(hTitle, 'FontName', font, 'FontSize', 16, 'FontWeight', 'bold'); % Set font and size for title grid on; - if makeMovie - frame = getframe(gcf); - writeVideo(videoFile, frame); - else - pause(0.5); % Only pause when not recording + if ~skipMovieRender + % Capture the current frame and write it to the video + frame = getframe(gcf); % Capture the current figure as a frame + writeVideo(videoFile, frame); % Write the frame to the video + end + if ~skipSaveFigures + % Construct a filename for each image + fileNamePNG = fullfile(saveFolder, sprintf('fft_analysis_img_%03d.png', k)); + + % Save current figure as PNG with high resolution + print(gcf, fileNamePNG, '-dpng', '-r100'); % 300 dpi for high quality + end + if skipMovieRender & skipSaveFigures + pause(0.5); end - end -if makeMovie +if ~skipMovieRender + % Close the video file close(videoFile); - disp(['Movie saved to ', movieFileName]); + disp(['Movie saved to ', savefileName]); end %% Track across the transition +% Convert spectral distribution to matrix (N_shots x N_angular_bins) +delta_nkr_all = zeros(N_shots, N_angular_bins); +for k = 1:N_shots + delta_nkr_all(k, :) = angular_spectral_distribution{k}; +end + +N_params = length(alphas); +% Define angular range and conversion +angle_range = 180; +angle_per_bin = angle_range / N_angular_bins; +max_peak_angle = 180; +max_peak_bin = round(max_peak_angle / angle_per_bin); + +% Parameters for search +window_size = 10; +angle_threshold = 100; + +% Initialize containers for final results +mean_max_g2_values = zeros(1, N_params); +mean_max_g2_angle_values = zeros(1, N_params); +var_max_g2_values = zeros(1, N_params); +var_max_g2_angle_values = zeros(1, N_params); + +% Also store raw data per group +g2_all_per_group = cell(1, N_params); +angle_all_per_group = cell(1, N_params); + +for i = 1:N_params + group_data = delta_nkr_all(i, :); + N_reps = size(group_data, 1); + + g2_values = zeros(1, N_reps); + angle_at_max_g2 = zeros(1, N_reps); + + for j = 1:N_reps + profile = group_data(j, :); + + % Restrict search to 0–60° for highest peak + restricted_profile = profile(1:max_peak_bin); + [~, peak_idx_rel] = max(restricted_profile); + peak_idx = peak_idx_rel; + peak_angle = (peak_idx - 1) * angle_per_bin; + + if peak_angle < angle_threshold + offsets = round(50 / angle_per_bin) : round(70 / angle_per_bin); + else + offsets = -round(70 / angle_per_bin) : -round(50 / angle_per_bin); + end + + ref_window = mod((peak_idx - window_size):(peak_idx + window_size) - 1, N_angular_bins) + 1; + ref = profile(ref_window); + + correlations = zeros(size(offsets)); + angles = zeros(size(offsets)); + + for k = 1:length(offsets) + shifted_idx = mod(peak_idx + offsets(k) - 1, N_angular_bins) + 1; + sec_window = mod((shifted_idx - window_size):(shifted_idx + window_size) - 1, N_angular_bins) + 1; + sec = profile(sec_window); + + num = mean(ref .* sec); + denom = mean(ref.^2); + g2 = num / denom; + + correlations(k) = g2; + angles(k) = mod((peak_idx - 1 + offsets(k)) * angle_per_bin, angle_range); + end + + [max_corr, max_idx] = max(correlations); + g2_values(j) = max_corr; + angle_at_max_g2(j) = angles(max_idx); + end + + % Store raw values + g2_all_per_group{i} = g2_values; + angle_all_per_group{i} = angle_at_max_g2; + + % Final stats + mean_max_g2_values(i) = mean(g2_values, 'omitnan'); + var_max_g2_values(i) = var(g2_values, 0, 'omitnan'); + mean_max_g2_angle_values(i)= mean(angle_at_max_g2, 'omitnan'); + var_max_g2_angle_values(i) = var(angle_at_max_g2, 0, 'omitnan'); +end + +% Plot peak offset angular correlation figure(2); set(gcf,'Position',[100 100 950 750]) -plot(alphas, spectral_contrast, 'o--', ... - 'LineWidth', 1.5, 'MarkerSize', 6); -set(gca, 'FontSize', 14); % For tick labels only -hXLabel = xlabel('\alpha (degrees)', 'Interpreter', 'tex'); -% hXLabel = xlabel('B_z (G)', 'Interpreter', 'tex'); -hYLabel = ylabel('Spectral Contrast', 'Interpreter', 'tex'); -hTitle = title(TitleString, 'Interpreter', 'tex'); -set([hXLabel, hYLabel], 'FontName', font) -set([hXLabel, hYLabel], 'FontSize', 14) -set(hTitle, 'FontName', font, 'FontSize', 16, 'FontWeight', 'bold'); % Set font and size for title -grid on +set(gca, 'FontSize', 14); % For tick labels only +plot(alphas, ... % x-axis + mean_max_g2_values, ... % y-axis (mean) + '--o', 'LineWidth', 1.8, 'MarkerSize', 6 ); +set(gca, 'FontSize', 14, 'YLim', [0, 1]); +hXLabel = xlabel('$\alpha$ (degrees)', 'Interpreter', 'latex'); +hYLabel = ylabel('$\mathrm{max}[g^{(2)}_{[50,70]}(\delta\theta)]$', 'Interpreter', 'latex'); +hTitle = title(TitleString, 'Interpreter', 'tex'); +set([hXLabel, hYLabel], 'FontName', font); +set([hXLabel, hYLabel], 'FontSize', 14); +set(hTitle, 'FontName', font, 'FontSize', 16, 'FontWeight', 'bold'); +grid on; + +% Plot full angular correlation figure(3); -set(gcf,'Position',[100 100 950 750]) -plot(alphas, spectral_weight, 'o--', ... - 'LineWidth', 1.5, 'MarkerSize', 6); -set(gca, 'FontSize', 14); % For tick labels only -hXLabel = xlabel('\alpha (degrees)', 'Interpreter', 'tex'); -% hXLabel = xlabel('B_z (G)', 'Interpreter', 'tex'); -hYLabel = ylabel('Spectral Weight', 'Interpreter', 'tex'); -hTitle = title(TitleString, 'Interpreter', 'tex'); -set([hXLabel, hYLabel], 'FontName', font) -set([hXLabel, hYLabel], 'FontSize', 14) -set(hTitle, 'FontName', font, 'FontSize', 16, 'FontWeight', 'bold'); % Set font and size for title -grid on - -save(datafileName, 'alphas', 'spectral_contrast', 'spectral_weight'); - -figure(4); clf; set(gcf,'Position',[100 100 950 750]) hold on; @@ -326,7 +447,7 @@ for i = 1:nimgs legend_entries{i} = sprintf('$\\alpha = %g^\\circ$', alphas(i)); end -ylim([-1.5 3.0]); % Set y-axis limits here +ylim([0.0 1.0]); % Set y-axis limits here set(gca, 'FontSize', 14); hXLabel = xlabel('$\delta\theta / \pi$', 'Interpreter', 'latex'); hYLabel = ylabel('$g^{(2)}(\delta\theta)$', 'Interpreter', 'latex'); @@ -337,7 +458,9 @@ set([hXLabel, hYLabel], 'FontSize', 14) set(hTitle, 'FontName', font, 'FontSize', 16, 'FontWeight', 'bold'); % Set font and size for title grid on; -%% Track across the transition +save(datafileName, 'alphas', 'mean_max_g2_values', 'theta_vals', 'g2_all'); + +%% Compare between transitions set(0,'defaulttextInterpreter','latex') set(groot, 'defaultAxesTickLabelInterpreter','latex'); set(groot, 'defaultLegendInterpreter','latex'); @@ -347,51 +470,22 @@ format long font = 'Bahnschrift'; % Load data -Data = load('./DropletsToStripes.mat', 'alphas', 'spectral_contrast', 'spectral_weight'); +Data = load('./DropletsToStripes.mat', 'alphas', 'mean_max_g2_values'); dts_alphas = Data.alphas; -dts_sc = Data.spectral_contrast; -dts_sw = Data.spectral_weight; +dts_max_g2 = Data.mean_max_g2_values; -Data = load('./StripesToDroplets.mat', 'alphas', 'spectral_contrast', 'spectral_weight'); +Data = load('./StripesToDroplets.mat', 'alphas', 'mean_max_g2_values'); std_alphas = Data.alphas; -std_sc = Data.spectral_contrast; -std_sw = Data.spectral_weight; - -% Normalize dts data -dts_min = min(dts_sw); -dts_max = max(dts_sw); -dts_range = dts_max - dts_min; -dts_sf_norm = (dts_sw - dts_min) / dts_range; - -% Normalize std data -std_min = min(std_sw); -std_max = max(std_sw); -std_range = std_max - std_min; -std_sf_norm = (std_sw - std_min) / std_range; +std_max_g2 = Data.mean_max_g2_values; figure(5); set(gcf,'Position',[100 100 950 750]) -plot(dts_alphas, dts_sc, 'o--', 'LineWidth', 1.5, 'MarkerSize', 6, 'DisplayName' , 'Droplets to Stripes'); +plot(dts_alphas, dts_max_g2, 'o--', 'LineWidth', 1.5, 'MarkerSize', 6, 'DisplayName' , 'Droplets to Stripes'); hold on -plot(std_alphas, std_sc, 'o--', 'LineWidth', 1.5, 'MarkerSize', 6, 'DisplayName' , 'Stripes to Droplets'); +plot(std_alphas, std_max_g2, 'o--', 'LineWidth', 1.5, 'MarkerSize', 6, 'DisplayName' , 'Stripes to Droplets'); set(gca, 'FontSize', 14); % For tick labels only -hXLabel = xlabel('\alpha (degrees)', 'Interpreter', 'tex'); -hYLabel = ylabel('Spectral Contrast', 'Interpreter', 'tex'); -hTitle = title('Change across transition', 'Interpreter', 'tex'); -legend -set([hXLabel, hYLabel], 'FontName', font) -set([hXLabel, hYLabel], 'FontSize', 14) -set(hTitle, 'FontName', font, 'FontSize', 16, 'FontWeight', 'bold'); % Set font and size for title -grid on - -figure(6); -set(gcf,'Position',[100 100 950 750]) -plot(dts_alphas, dts_sw, 'o--', 'LineWidth', 1.5, 'MarkerSize', 6, 'DisplayName' , 'Droplets to Stripes'); -hold on -plot(std_alphas, std_sw, 'o--', 'LineWidth', 1.5, 'MarkerSize', 6, 'DisplayName' , 'Stripes to Droplets'); -set(gca, 'FontSize', 14); % For tick labels only -hXLabel = xlabel('\alpha (degrees)', 'Interpreter', 'tex'); -hYLabel = ylabel('Spectral Weight', 'Interpreter', 'tex'); +hXLabel = xlabel('$\alpha$ (degrees)', 'Interpreter', 'latex'); +hYLabel = ylabel('$\mathrm{max}[g^{(2)}_{[50,70]}(\delta\theta)]$', 'Interpreter', 'latex'); hTitle = title('Change across transition', 'Interpreter', 'tex'); legend set([hXLabel, hYLabel], 'FontName', font) @@ -471,84 +565,237 @@ function [IMGFFT, IMGPR] = computeFourierTransform(I, skipPreprocessing, skipMas end end -function [theta_vals, S_theta] = computeNormalizedAngularSpectralDistribution(IMGFFT, r_min, r_max, num_bins, threshold, sigma) - % Apply threshold to isolate strong peaks - IMGFFT(IMGFFT < threshold) = 0; +function [k_rho_vals, S_radial] = computeRadialSpectralDistribution(IMGFFT, kx, ky, thetamin, thetamax, num_bins) + % IMGFFT : 2D FFT image (fftshifted and cropped) + % kx, ky : 1D physical wavenumber axes [μm⁻¹] matching FFT size + % thetamin : Minimum angle (in radians) + % thetamax : Maximum angle (in radians) + % num_bins : Number of radial bins - % Prepare polar coordinates - [ny, nx] = size(IMGFFT); - [X, Y] = meshgrid(1:nx, 1:ny); - cx = ceil(nx/2); - cy = ceil(ny/2); - R = sqrt((X - cx).^2 + (Y - cy).^2); - Theta = atan2(Y - cy, X - cx); % range [-pi, pi] + [KX, KY] = meshgrid(kx, ky); + K_rho = sqrt(KX.^2 + KY.^2); + Theta = atan2(KY, KX); - % Choose radial band - radial_mask = (R >= r_min) & (R <= r_max); - - % Initialize the angular structure factor array - S_theta = zeros(1, num_bins); % Pre-allocate for 180 angle bins - % Define the angle values for the x-axis - theta_vals = linspace(0, pi, num_bins); - - % Loop through each angle bin - for i = 1:num_bins - angle_start = (i-1) * pi / num_bins; - angle_end = i * pi / num_bins; - - % Define a mask for the given angle range - angle_mask = (Theta >= angle_start & Theta < angle_end); - - bin_mask = radial_mask & angle_mask; - - % Extract the Fourier components for the given angle - fft_angle = IMGFFT .* bin_mask; - - % Integrate the Fourier components over the radius at the angle - S_theta(i) = sum(sum(abs(fft_angle).^2)); % sum of squared magnitudes - end - - % Create a 1D Gaussian kernel - half_width = ceil(3 * sigma); - x = -half_width:half_width; - gauss_kernel = exp(-x.^2 / (2 * sigma^2)); - gauss_kernel = gauss_kernel / sum(gauss_kernel); % normalize - - % Apply convolution (circular padding to preserve periodicity) - S_theta = conv([S_theta(end-half_width+1:end), S_theta, S_theta(1:half_width)], gauss_kernel, 'same'); - S_theta = S_theta(half_width+1:end-half_width); % crop back to original size - - % Normalize to 1 - S_theta = S_theta / max(S_theta); -end - -function contrast = computeSpectralContrast(IMGFFT, r_min, r_max, threshold) - % Apply threshold to isolate strong peaks - IMGFFT(IMGFFT < threshold) = 0; - - % Prepare polar coordinates - [ny, nx] = size(IMGFFT); - [X, Y] = meshgrid(1:nx, 1:ny); - cx = ceil(nx/2); - cy = ceil(ny/2); - R = sqrt((X - cx).^2 + (Y - cy).^2); - - % Ring region (annulus) mask - ring_mask = (R >= r_min) & (R <= r_max); - - % Squared magnitude in the ring - ring_power = abs(IMGFFT).^2 .* ring_mask; - - % Maximum power in the ring - ring_max = max(ring_power(:)); - - % Power at the DC component - dc_power = abs(IMGFFT(cy, cx))^2; - - % Avoid division by zero - if dc_power == 0 - contrast = Inf; % or NaN or 0, depending on how you want to handle this + if thetamin < thetamax + angle_mask = (Theta >= thetamin) & (Theta <= thetamax); else - contrast = ring_max / dc_power; + angle_mask = (Theta >= thetamin) | (Theta <= thetamax); + end + + power_spectrum = abs(IMGFFT).^2; + + r_min = min(K_rho(angle_mask)); + r_max = max(K_rho(angle_mask)); + r_edges = linspace(r_min, r_max, num_bins + 1); + k_rho_vals = 0.5 * (r_edges(1:end-1) + r_edges(2:end)); + S_radial = zeros(1, num_bins); + + for i = 1:num_bins + r_low = r_edges(i); + r_high = r_edges(i + 1); + radial_mask = (K_rho >= r_low) & (K_rho < r_high); + full_mask = radial_mask & angle_mask; + S_radial(i) = sum(power_spectrum(full_mask)); end end + +function [theta_vals, S_theta] = computeAngularSpectralDistribution(IMGFFT, kx, ky, k_min, k_max, num_bins, threshold, sigma, windowSize) + % Apply threshold to isolate strong peaks + IMGFFT(IMGFFT < threshold) = 0; + + % Create wavenumber meshgrid + [KX, KY] = meshgrid(kx, ky); + Kmag = sqrt(KX.^2 + KY.^2); % radial wavenumber magnitude + Theta = atan2(KY, KX); % range [-pi, pi] + + % Restrict to radial band in wavenumber space + radial_mask = (Kmag >= k_min) & (Kmag <= k_max); + + % Initialize angular structure factor + S_theta = zeros(1, num_bins); + theta_vals = linspace(0, pi, num_bins); % only 0 to pi due to symmetry + + % Loop over angular bins + for i = 1:num_bins + angle_start = (i - 1) * pi / num_bins; + angle_end = i * pi / num_bins; + angle_mask = (Theta >= angle_start) & (Theta < angle_end); + bin_mask = radial_mask & angle_mask; + fft_angle = IMGFFT .* bin_mask; + S_theta(i) = sum(sum(abs(fft_angle).^2)); + end + + % Optional smoothing + if exist('sigma', 'var') && ~isempty(sigma) + % Gaussian smoothing + half_width = ceil(3 * sigma); + x = -half_width:half_width; + gauss_kernel = exp(-x.^2 / (2 * sigma^2)); + gauss_kernel = gauss_kernel / sum(gauss_kernel); + + % Circular convolution + S_theta = conv([S_theta(end - half_width + 1:end), S_theta, S_theta(1:half_width)], ... + gauss_kernel, 'same'); + S_theta = S_theta(half_width + 1:end - half_width); + elseif exist('windowSize', 'var') && ~isempty(windowSize) + % Moving average smoothing + pad = floor(windowSize / 2); + kernel = ones(1, windowSize) / windowSize; + S_theta = conv([S_theta(end - pad + 1:end), S_theta, S_theta(1:pad)], kernel, 'same'); + S_theta = S_theta(pad + 1:end - pad); + end +end + +function contrast = computeRadialSpectralContrast(k_rho_vals, S_k_smoothed, k_min, k_max) +% Computes the ratio of the peak in S_k_smoothed within [k_min, k_max] +% to the value at (or near) k = 0. + + % Ensure inputs are column vectors + k_rho_vals = k_rho_vals(:); + S_k_smoothed = S_k_smoothed(:); + + % Step 1: Find index of k ≈ 0 + [~, idx_k0] = min(abs(k_rho_vals)); % Closest to zero + S_k0 = S_k_smoothed(idx_k0); + + % Step 2: Find indices in specified k-range + in_range = (k_rho_vals >= k_min) & (k_rho_vals <= k_max); + + if ~any(in_range) + warning('No values found in the specified k-range. Returning NaN.'); + contrast = NaN; + return; + end + + % Step 3: Find peak value in the specified k-range + S_k_peak = max(S_k_smoothed(in_range)); + + % Step 4: Compute contrast + contrast = S_k_peak / S_k0; + +end + +function drawPSOverlays(kx, ky, r_min, r_max) +% drawFFTOverlays - Draw overlays on existing FFT plot: +% - Radial lines every 30° +% - Annular highlight with white (upper half) and gray (lower half) circles between r_min and r_max +% - Horizontal white bands at ky=0 in annulus region +% - Scale ticks and labels every 1 μm⁻¹ along each radial line +% +% Inputs: +% kx, ky - reciprocal space vectors (μm⁻¹) +% r_min - inner annulus radius offset index (integer) +% r_max - outer annulus radius offset index (integer) +% +% Example: +% hold on; +% drawFFTOverlays(kx, ky, 10, 30); + + hold on + + % === Overlay Radial Lines + Scales === + [kx_grid, ky_grid] = meshgrid(kx, ky); + [~, kr_grid] = cart2pol(kx_grid, ky_grid); % kr_grid in μm⁻¹ + + max_kx = max(kx); + max_ky = max(ky); + + for angle = 0 : pi/6 : pi + x_line = [0, max_kx] * cos(angle); + y_line = [0, max_ky] * sin(angle); + + % Plot radial lines + plot(x_line, y_line, '--', 'Color', [0.5 0.5 0.5], 'LineWidth', 1.2); + plot(x_line, -y_line, '--', 'Color', [0.5 0.5 0.5], 'LineWidth', 1.2); + + % Draw scale ticks along positive radial line + drawTicksAlongLine(0, 0, x_line(2), y_line(2)); + + % Draw scale ticks along negative radial line (reflect y) + drawTicksAlongLine(0, 0, x_line(2), -y_line(2)); + end + + % === Overlay Annular Highlight: White (r_min to r_max), Gray elsewhere === + theta_full = linspace(0, 2*pi, 500); + + center_x = ceil(size(kr_grid, 2) / 2); + center_y = ceil(size(kr_grid, 1) / 2); + + k_min = kr_grid(center_y, center_x + r_min); + k_max = kr_grid(center_y, center_x + r_max); + + % Upper half: white dashed circles + x1_upper = k_min * cos(theta_full(theta_full <= pi)); + y1_upper = k_min * sin(theta_full(theta_full <= pi)); + x2_upper = k_max * cos(theta_full(theta_full <= pi)); + y2_upper = k_max * sin(theta_full(theta_full <= pi)); + plot(x1_upper, y1_upper, 'k--', 'LineWidth', 1.2); + plot(x2_upper, y2_upper, 'k--', 'LineWidth', 1.2); + + % Lower half: gray dashed circles + x1_lower = k_min * cos(theta_full(theta_full > pi)); + y1_lower = k_min * sin(theta_full(theta_full > pi)); + x2_lower = k_max * cos(theta_full(theta_full > pi)); + y2_lower = k_max * sin(theta_full(theta_full > pi)); + plot(x1_lower, y1_lower, '--', 'Color', [0.5 0.5 0.5], 'LineWidth', 1.0); + plot(x2_lower, y2_lower, '--', 'Color', [0.5 0.5 0.5], 'LineWidth', 1.0); + + % === Highlight horizontal band across k_y = 0 === + x_vals = kx; + xW1 = x_vals((x_vals >= -k_max) & (x_vals < -k_min)); + xW2 = x_vals((x_vals > k_min) & (x_vals <= k_max)); + + plot(xW1, zeros(size(xW1)), 'k--', 'LineWidth', 1.2); + plot(xW2, zeros(size(xW2)), 'k--', 'LineWidth', 1.2); + + hold off + + + % --- Nested helper function to draw ticks along a radial line --- + function drawTicksAlongLine(x_start, y_start, x_end, y_end) + % Tick parameters + tick_spacing = 1; % spacing between ticks in μm⁻¹ + tick_length = 0.05 * sqrt((x_end - x_start)^2 + (y_end - y_start)^2); % relative tick length + line_color = [0.5 0.5 0.5]; + tick_color = [0.5 0.5 0.5]; + font_size = 8; + + % Vector along the line + dx = x_end - x_start; + dy = y_end - y_start; + L = sqrt(dx^2 + dy^2); + ux = dx / L; + uy = dy / L; + + % Perpendicular vector for ticks + perp_ux = -uy; + perp_uy = ux; + + % Number of ticks (from 0 up to max length) + n_ticks = floor(L / tick_spacing); + + for i = 1:n_ticks + % Position of tick along the line + xt = x_start + i * tick_spacing * ux; + yt = y_start + i * tick_spacing * uy; + + % Tick endpoints + xt1 = xt - 0.5 * tick_length * perp_ux; + yt1 = yt - 0.5 * tick_length * perp_uy; + xt2 = xt + 0.5 * tick_length * perp_ux; + yt2 = yt + 0.5 * tick_length * perp_uy; + + % Draw tick + plot([xt1 xt2], [yt1 yt2], '-', 'Color', tick_color, 'LineWidth', 1); + + % Label with distance (integer) + text(xt, yt, sprintf('%d', i), ... + 'Color', tick_color, ... + 'FontSize', font_size, ... + 'HorizontalAlignment', 'center', ... + 'VerticalAlignment', 'bottom', ... + 'Rotation', atan2d(dy, dx)); + end + end + +end \ No newline at end of file