From 5155601d592f80fc647ce00565d0789e012a30f9 Mon Sep 17 00:00:00 2001 From: aj Date: Sun, 1 Dec 2019 23:27:29 +0000 Subject: [PATCH] pulling results, fixed deflation --- cvpr_computedescriptors.m | 14 +- cvpr_visualsearch_pca_image.m | 96 +- cvpr_visualsearch_selected_image.m | 6 +- ...olour-texture-4x4-7-0.09-deflation-100.png | Bin 0 -> 24307 bytes ...colour-texture-4x4-7-0.09-deflation-20.png | Bin 0 -> 38124 bytes data/colourHistogram/map-line.png | Bin 24205 -> 25990 bytes data/data.ods | Bin 37665 -> 69147 bytes data/spatialColour/avg-pr-4-14.png | Bin 0 -> 42784 bytes data/spatialColourTexture/mapSurface.png | Bin 0 -> 155433 bytes .../mapSurfaceWithMax.png | Bin 0 -> 129514 bytes data/spatialTexture/avg-pr-4-4-7-0.09.png | Bin 0 -> 45807 bytes data/spatialTexture/map-thresh-vary.png | Bin 0 -> 22576 bytes data/spatialTexture/mapSurface.png | Bin 0 -> 144967 bytes data/spatialTexture/mapSurface2.png | Bin 0 -> 139582 bytes data/spatialTexture/mapSurfaceWithMax.png | Bin 0 -> 140727 bytes parameter_iter_selected_image.m | 61 +- report/coursework.lyx | 4477 +++++++++++++++-- util/deflateEigen.m | 15 +- 18 files changed, 4229 insertions(+), 440 deletions(-) create mode 100644 data/PCA/colour-texture-4x4-7-0.09-deflation-100.png create mode 100644 data/PCA/colour-texture-4x4-7-0.09-deflation-20.png create mode 100644 data/spatialColour/avg-pr-4-14.png create mode 100644 data/spatialColourTexture/mapSurface.png create mode 100644 data/spatialColourTexture/mapSurfaceWithMax.png create mode 100644 data/spatialTexture/avg-pr-4-4-7-0.09.png create mode 100644 data/spatialTexture/map-thresh-vary.png create mode 100644 data/spatialTexture/mapSurface.png create mode 100644 data/spatialTexture/mapSurface2.png create mode 100644 data/spatialTexture/mapSurfaceWithMax.png diff --git a/cvpr_computedescriptors.m b/cvpr_computedescriptors.m index a0af5d6..7ba1e2c 100644 --- a/cvpr_computedescriptors.m +++ b/cvpr_computedescriptors.m @@ -23,10 +23,10 @@ OUT_FOLDER = 'descriptors'; %% the idea is all your descriptors are in individual folders - within %% the folder specified as 'OUT_FOLDER'. % OUT_SUBFOLDER='avgRGB'; -OUT_SUBFOLDER='globalRGBhisto'; +% OUT_SUBFOLDER='globalRGBhisto'; % OUT_SUBFOLDER='spatialColour'; -% DESCRIPTOR_SUBFOLDER='spatialTexture'; -% OUT_SUBFOLDER='spatialColourTexture'; +% OUT_SUBFOLDER='spatialTexture'; +OUT_SUBFOLDER='spatialColourTexture'; allfiles=dir (fullfile([DATASET_FOLDER,'/Images/*.bmp'])); for filenum=1:length(allfiles) @@ -39,10 +39,10 @@ for filenum=1:length(allfiles) %% EXTRACT FUNCTION % F=extractAvgRGB(img); - F=extractGlobalColHist(img, 2, 1, 8, 0.05); -% F=extractSpatialColour(img, 2, 1); -% F=extractSpatialTexture(img, 2, 1, 8, 0.05); -% F=extractSpatialColourTexture(img); +% F=extractGlobalColHist(img, 2, 1, 8, 0.05); +% F=extractSpatialColour(img, 14, 4); +% F=extractSpatialTexture(img, 4, 4, 7, 0.09); + F=extractSpatialColourTexture(img, 4, 4, 7, 0.09); save(fout,'F'); toc end diff --git a/cvpr_visualsearch_pca_image.m b/cvpr_visualsearch_pca_image.m index 22f0754..e63f842 100644 --- a/cvpr_visualsearch_pca_image.m +++ b/cvpr_visualsearch_pca_image.m @@ -28,10 +28,10 @@ DESCRIPTOR_FOLDER = 'descriptors'; %% and within that folder, another folder to hold the descriptors %% we are interested in working with % DESCRIPTOR_SUBFOLDER='avgRGB'; -DESCRIPTOR_SUBFOLDER='globalRGBhisto'; +% DESCRIPTOR_SUBFOLDER='globalRGBhisto'; % DESCRIPTOR_SUBFOLDER='spatialColour'; % DESCRIPTOR_SUBFOLDER='spatialTexture'; -% DESCRIPTOR_SUBFOLDER='spatialColourTexture'; +DESCRIPTOR_SUBFOLDER='spatialColourTexture'; CATEGORIES = ["Farm Animal" "Tree" @@ -92,6 +92,14 @@ CAT_TOTAL = length(CAT_HIST); NIMG=size(ALLFEAT,1); % number of images in collection + + +map=[]; +deflate_energy = [0:0.001:0.3]; +for var_iter=1:size(deflate_energy, 2) + +descriptor_list = ALLFEAT; + confusion_matrix = zeros(CAT_TOTAL); all_precision = []; @@ -104,18 +112,18 @@ for iteration=1:CAT_TOTAL queryimg=QUERY_INDEXES(iteration); % index of a random image %% 3) Compute EigenModel - E = getEigenModel(ALLFEAT); - E = deflateEigen(E, 3); + E = getEigenModel(descriptor_list); + E = deflateEigen(E, 1-deflate_energy(var_iter)); %% 4) Project data to lower dimensionality - ALLFEAT=ALLFEAT-repmat(E.org,size(ALLFEAT,1),1); - ALLFEAT=((E.vct')*(ALLFEAT'))'; + descriptor_list=descriptor_list-repmat(E.org,size(descriptor_list,1),1); + descriptor_list=((E.vct')*(descriptor_list'))'; %% 3) Compute the distance of image to the query dst=[]; for i=1:NIMG - candidate=ALLFEAT(i,:); - query=ALLFEAT(queryimg,:); + candidate=descriptor_list(i,:); + query=descriptor_list(queryimg,:); category=ALLCATs(i); @@ -133,9 +141,9 @@ for iteration=1:CAT_TOTAL query_row = dst(1,:); query_category = query_row(1,3); - if query_category ~= iteration - dst - end +% if query_category ~= iteration +% dst +% end fprintf('category was %s\n', CATEGORIES(query_category)) dst = dst(2:NIMG, :); @@ -192,32 +200,32 @@ for iteration=1:CAT_TOTAL %% 6) plot PR curve - figure(1) - plot(recall_values, precision_values,'LineWidth',1.5); - hold on; - title('PR Curve'); - xlabel('Recall'); - ylabel('Precision'); - xlim([0 1]); - ylim([0 1]); +% figure(1) +% plot(recall_values, precision_values,'LineWidth',1.5); +% hold on; +% title('PR Curve'); +% xlabel('Recall'); +% ylabel('Precision'); +% xlim([0 1]); +% ylim([0 1]); %% 7) Visualise the results %% These may be a little hard to see using imgshow %% If you have access, try using imshow(outdisplay) or imagesc(outdisplay) - SHOW=25; % Show top 25 results - dst=dst(1:SHOW,:); - outdisplay=[]; - for i=1:size(dst,1) - img=imread(ALLFILES{dst(i,2)}); - img=img(1:2:end,1:2:end,:); % make image a quarter size - img=img(1:81,:,:); % crop image to uniform size vertically (some MSVC images are different heights) - outdisplay=[outdisplay img]; - - %populate confusion matrix - confusion_matrix(query_category, dst(i,3)) = confusion_matrix(query_category, dst(i,3)) + 1; - end +% SHOW=25; % Show top 25 results +% dst=dst(1:SHOW,:); +% outdisplay=[]; +% for i=1:size(dst,1) +% img=imread(ALLFILES{dst(i,2)}); +% img=img(1:2:end,1:2:end,:); % make image a quarter size +% img=img(1:81,:,:); % crop image to uniform size vertically (some MSVC images are different heights) +% outdisplay=[outdisplay img]; +% +% %populate confusion matrix +% confusion_matrix(query_category, dst(i,3)) = confusion_matrix(query_category, dst(i,3)) + 1; +% end % figure(3) % imgshow(outdisplay); % axis off; @@ -225,18 +233,18 @@ for iteration=1:CAT_TOTAL end %% Plot average PR curve -figure(4) -mean_precision = mean(all_precision); -mean_recall = mean(all_recall); -plot(mean_recall, mean_precision,'LineWidth',5); -title('PR Curve'); -xlabel('Average Recall'); -ylabel('Average Precision'); -xlim([0 1]); -ylim([0 1]); +% figure(4) +% mean_precision = mean(all_precision); +% mean_recall = mean(all_recall); +% plot(mean_recall, mean_precision,'LineWidth',5); +% title('PR Curve'); +% xlabel('Average Recall'); +% ylabel('Average Precision'); +% xlim([0 1]); +% ylim([0 1]); % normalise confusion matrix -norm_confusion_matrix = confusion_matrix ./ sum(confusion_matrix, 'all'); +% norm_confusion_matrix = confusion_matrix ./ sum(confusion_matrix, 'all'); %% 8 Calculate MAP % figure(4) @@ -247,10 +255,14 @@ norm_confusion_matrix = confusion_matrix ./ sum(confusion_matrix, 'all'); % xlim([0, 1]); MAP = mean(AP_values) -AP_sd = std(AP_values) +% AP_sd = std(AP_values); % figure(2) % plot(1:CAT_TOTAL, AP_values); % title('Average Precision Per Run'); % xlabel('Run'); % ylabel('Average Precision'); + +map(var_iter) = MAP; + +end diff --git a/cvpr_visualsearch_selected_image.m b/cvpr_visualsearch_selected_image.m index 0801102..801da93 100644 --- a/cvpr_visualsearch_selected_image.m +++ b/cvpr_visualsearch_selected_image.m @@ -28,10 +28,10 @@ DESCRIPTOR_FOLDER = 'descriptors'; %% and within that folder, another folder to hold the descriptors %% we are interested in working with % DESCRIPTOR_SUBFOLDER='avgRGB'; -DESCRIPTOR_SUBFOLDER='globalRGBhisto'; +% DESCRIPTOR_SUBFOLDER='globalRGBhisto'; % DESCRIPTOR_SUBFOLDER='spatialColour'; % DESCRIPTOR_SUBFOLDER='spatialTexture'; -% DESCRIPTOR_SUBFOLDER='spatialColourTexture'; +DESCRIPTOR_SUBFOLDER='spatialColourTexture'; CATEGORIES = ["Farm Animal" "Tree" @@ -221,7 +221,7 @@ figure(4) mean_precision = mean(all_precision); mean_recall = mean(all_recall); plot(mean_recall, mean_precision,'LineWidth',5); -title('Global Colour Histogram Average PR (n=5)'); +title('Spatial Texture Average PR (4x4, bin=7, thresh.=0.09)'); xlabel('Average Recall'); ylabel('Average Precision'); xlim([0 1]); diff --git a/data/PCA/colour-texture-4x4-7-0.09-deflation-100.png b/data/PCA/colour-texture-4x4-7-0.09-deflation-100.png new file mode 100644 index 0000000000000000000000000000000000000000..837f491fcb1abf8e0179db7ee571fb36b680b3df GIT binary patch literal 24307 zcmeFXWl&w+mM$D5xVsZ95S*YvgG2D(Zo%E%-GjTkyF+jZZo%E%T{d@b-g8cOf8D3$ 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+\begin_layout Plain Layout +0.2140 +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout + +\color red +1.2 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout + +\color red +0.2239 +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout + +\color red +1.5 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout + +\color red +0.2337 +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout + +\color red +2 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout + +\color red +0.2358 +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout + +\color red +2.5 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout + +\color red +0.2334 +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout + +\color red +3 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout + +\color red +0.2328 +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout + +\color red +3.5 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout + +\color red +0.2279 +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout + +\color red +4 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout + +\color red +0.2178 +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +4.1 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.2111 +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +4.5 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.196 +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +5 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1913 +\end_layout + +\end_inset + + + + +\end_inset + + +\end_layout + +\begin_layout Plain Layout +\begin_inset Caption Standard + +\begin_layout Plain Layout +Mean average precision values for spatial colour and texture (4x4, 7 bins, + thres. + 0.09) as dimensionality is reduced through PCA +\end_layout + +\end_inset + + +\end_layout + +\end_inset + + +\end_layout + \begin_layout Section Discussion \end_layout +\begin_layout Standard +Worth noting is that during the spacial texture experiments optimal parameters + were used as fixed variables for further testing, namely the bin count + and threshold values. + In doing so performative results for the descriptor could be evaluated + for this query however the results are query and data dependent as are + the rest of the results in this coursework. + Cascading optimal parameters in further experiments like this does not + necessarily represent the best set of parameters for this descriptor as + each optimum value was found with the others fixed. + +\end_layout + +\begin_layout Standard +This query and dataset's set of optimum paramters for a descriptor could + be experimentally found with more complex testing methods however this + is not within the scope of this work. +\end_layout + \begin_layout Section Conclusions \end_layout @@ -1963,6 +2886,451 @@ Coast \end_inset +\end_layout + +\begin_layout Section +Query Set +\begin_inset CommandInset label +LatexCommand label +name "sec:Query-Set" + +\end_inset + + +\end_layout + +\begin_layout Standard +\align center +\begin_inset Tabular + + + + + + +\begin_inset Text + +\begin_layout Plain Layout +Category Index +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +Query Filename +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +1 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +1_10_s.bmp +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +2 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +2_16_s.bmp +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +3 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +3_12_s.bmp +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +4 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +4_4_s.bmp +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +5 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +5_15_s.bmp +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +6 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +6_14_s.bmp +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +7 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +7_17_s.bmp +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +8 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +8_15_s.bmp +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +9 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +9_1_s.bmp +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +10 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +10_14_s.bmp +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +11 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +11_8_s.bmp +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +12 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +12_26_s.bmp +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +13 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +13_10_s.bmp +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +14 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +14_10_s.bmp +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +15 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +15_8_s.bmp +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +16 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +16_10_s.bmp +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +17 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +17_16_s.bmp +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +18 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +18_5_s.bmp +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +19 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +19_15_s.bmp +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +20 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +20_12_s.bmp +\end_layout + +\end_inset + + + + +\end_inset + + \end_layout \begin_layout Section @@ -1975,6 +3343,13 @@ Global Colour Histogram, \end_inset +\begin_inset CommandInset label +LatexCommand label +name "subsec:Global-Colour-Histogram-pr-n-4" + +\end_inset + + \end_layout \begin_layout Standard @@ -1990,36 +3365,48 @@ Global Colour Histogram, \end_layout \begin_layout Section -Global Colour Histogram Mean Average Precision Values +Global Colour Histogram Bin Count MAP Results \end_layout \begin_layout Standard \align center \begin_inset Tabular - + - - - - - - - - - - - + + + - + \begin_inset Text \begin_layout Plain Layout -Grid Size +Number of bins \end_layout \end_inset - + +\begin_inset Text + +\begin_layout Plain Layout +Mean Average Precision +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +Average Precision Standard Deviation +\end_layout + +\end_inset + + + + \begin_inset Text \begin_layout Plain Layout @@ -2028,7 +3415,27 @@ Grid Size \end_inset - + +\begin_inset Text + +\begin_layout Plain Layout +0.1204 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.2118 +\end_layout + +\end_inset + + + + \begin_inset Text \begin_layout Plain Layout @@ -2037,7 +3444,27 @@ Grid Size \end_inset - + +\begin_inset Text + +\begin_layout Plain Layout +0.126 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1002 +\end_layout + +\end_inset + + + + \begin_inset Text \begin_layout Plain Layout @@ -2046,7 +3473,27 @@ Grid Size \end_inset - + +\begin_inset Text + +\begin_layout Plain Layout +0.1049 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.0678 +\end_layout + +\end_inset + + + + \begin_inset Text \begin_layout Plain Layout @@ -2055,7 +3502,27 @@ Grid Size \end_inset - + +\begin_inset Text + +\begin_layout Plain Layout +0.126 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1002 +\end_layout + +\end_inset + + + + \begin_inset Text \begin_layout Plain Layout @@ -2064,7 +3531,27 @@ Grid Size \end_inset - + +\begin_inset Text + +\begin_layout Plain Layout +0.1446 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1034 +\end_layout + +\end_inset + + + + \begin_inset Text \begin_layout Plain Layout @@ -2073,7 +3560,27 @@ Grid Size \end_inset - + +\begin_inset Text + +\begin_layout Plain Layout +0.14 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1209 +\end_layout + +\end_inset + + + + \begin_inset Text \begin_layout Plain Layout @@ -2082,7 +3589,27 @@ Grid Size \end_inset - + +\begin_inset Text + +\begin_layout Plain Layout +0.1381 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1193 +\end_layout + +\end_inset + + + + \begin_inset Text \begin_layout Plain Layout @@ -2091,7 +3618,27 @@ Grid Size \end_inset - + +\begin_inset Text + +\begin_layout Plain Layout +0.124 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1127 +\end_layout + +\end_inset + + + + \begin_inset Text \begin_layout Plain Layout @@ -2100,7 +3647,677 @@ Grid Size \end_inset - + +\begin_inset Text + +\begin_layout Plain Layout +0.1235 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1166 +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +10 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.132 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1241 +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +11 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.136 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.122 +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +12 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1288 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1171 +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +13 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1265 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1161 +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +14 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1299 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1136 +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +15 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1303 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1105 +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +16 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1234 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.117 +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +18 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1264 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1148 +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +20 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1131 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.107 +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +22 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1186 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1158 +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +24 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1203 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1135 +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +26 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1113 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.0981 +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +28 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1098 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.0963 +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +30 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1049 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.0969 +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +32 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1015 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.0914 +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +34 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.0998 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.0932 +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +36 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1028 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.0924 +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +38 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1008 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.0884 +\end_layout + +\end_inset + + + + +\end_inset + + +\end_layout + +\begin_layout Section +Spatial Mean Average Precision Tables +\end_layout + +\begin_layout Subsection +Colour +\begin_inset CommandInset label +LatexCommand label +name "sec:spatial-colour-grid-maps" + +\end_inset + + +\end_layout + +\begin_layout Standard +\align center +\begin_inset Tabular + + + + + + + + + + + + + + + +\begin_inset Text + +\begin_layout Plain Layout +Grid Size +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +1 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +2 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +3 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +4 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +5 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +6 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +7 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +8 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +9 +\end_layout + +\end_inset + + \begin_inset Text \begin_layout Plain Layout @@ -2111,7 +4328,7 @@ Grid Size - + \begin_inset Text \begin_layout Plain Layout @@ -2120,7 +4337,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -2129,7 +4346,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -2138,7 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+4961,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -2753,7 +4970,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -2762,7 +4979,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -2771,7 +4988,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -2780,7 +4997,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -2789,7 +5006,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -2798,7 +5015,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -2807,7 +5024,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -2818,7 +5035,7 @@ Grid Size - + \begin_inset Text \begin_layout Plain Layout @@ -2827,7 +5044,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -2836,7 +5053,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -2845,7 +5062,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -2854,7 +5071,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -2863,7 +5080,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -2872,7 +5089,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -2881,7 +5098,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -2890,7 +5107,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -2899,7 +5116,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -2908,7 +5125,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -2919,7 +5136,7 @@ Grid Size - + \begin_inset Text \begin_layout Plain Layout @@ -2928,7 +5145,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -2937,7 +5154,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -2946,7 +5163,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -2955,7 +5172,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -2964,7 +5181,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -2973,7 +5190,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -2982,7 +5199,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -2991,7 +5208,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3000,7 +5217,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3009,7 +5226,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3020,7 +5237,7 @@ Grid Size - + \begin_inset Text \begin_layout Plain Layout @@ -3029,7 +5246,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3038,7 +5255,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3047,7 +5264,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3056,7 +5273,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3065,7 +5282,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3074,7 +5291,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3083,7 +5300,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3092,7 +5309,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3101,7 +5318,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3110,7 +5327,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3121,7 +5338,7 @@ Grid Size - + \begin_inset Text \begin_layout Plain Layout @@ -3130,7 +5347,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3139,7 +5356,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3148,7 +5365,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3157,7 +5374,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3166,7 +5383,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3175,7 +5392,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3184,7 +5401,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3193,7 +5410,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3202,7 +5419,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3211,7 +5428,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3222,7 +5439,7 @@ Grid Size - + \begin_inset Text \begin_layout Plain Layout @@ -3231,7 +5448,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3240,7 +5457,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3249,7 +5466,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3258,7 +5475,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3267,7 +5484,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3276,7 +5493,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3285,7 +5502,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3294,7 +5511,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3303,7 +5520,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3312,7 +5529,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3323,7 +5540,7 @@ Grid Size - + \begin_inset Text \begin_layout Plain Layout @@ -3332,7 +5549,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3341,7 +5558,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3350,7 +5567,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3359,7 +5576,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3368,7 +5585,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3377,7 +5594,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3386,7 +5603,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3395,7 +5612,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3404,7 +5621,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3413,7 +5630,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3424,7 +5641,7 @@ Grid Size - + \begin_inset Text \begin_layout Plain Layout @@ -3433,7 +5650,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3442,7 +5659,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3451,7 +5668,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3460,7 +5677,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3469,7 +5686,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3478,7 +5695,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3487,7 +5704,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3496,7 +5713,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3505,7 +5722,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3514,7 +5731,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3525,7 +5742,7 @@ Grid Size - + \begin_inset Text \begin_layout Plain Layout @@ -3534,7 +5751,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3543,7 +5760,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3552,7 +5769,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3561,7 +5778,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3570,7 +5787,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3579,7 +5796,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3588,7 +5805,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3597,7 +5814,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3606,7 +5823,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3615,7 +5832,7 @@ Grid Size \end_inset - + \begin_inset Text \begin_layout Plain Layout @@ -3630,6 +5847,1564 @@ Grid Size \end_inset +\end_layout + +\begin_layout Subsection +Texture +\begin_inset CommandInset label +LatexCommand label +name "sec:spatial-texture-grid-maps" + +\end_inset + + +\end_layout + +\begin_layout Standard +\align center +\begin_inset Tabular + + + + + + + + + + + + + +\begin_inset Text + +\begin_layout Plain Layout +Grid Size +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +1 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +2 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +3 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +4 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +5 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +6 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +7 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +8 +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +1 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1637 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1688 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1836 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.163 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1669 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.157 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1488 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.141 +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +2 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1881 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1928 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.2182 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1982 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1922 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1817 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1695 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1638 +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +3 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1946 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.2084 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.2203 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.2031 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1954 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1908 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1772 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1772 +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +4 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1886 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.2121 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.2308 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.2137 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1986 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1954 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1889 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1836 +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +5 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1982 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.2076 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.2176 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.2033 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1911 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1831 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1765 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1656 +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +6 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1792 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1957 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.2138 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1885 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1799 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1774 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1654 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1595 +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +7 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.2086 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.2182 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.2262 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.2019 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1935 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.182 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1694 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1614 +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +8 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1999 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.2102 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.2179 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.2003 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1839 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1818 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1658 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1563 +\end_layout + +\end_inset + + + + +\end_inset + + +\end_layout + +\begin_layout Subsection +Colour and Texture +\begin_inset CommandInset label +LatexCommand label +name "subsec:Colour-and-Texture" + +\end_inset + + +\end_layout + +\begin_layout Standard +\align center +\begin_inset Tabular + + + + + + + + + + + + + +\begin_inset Text + +\begin_layout Plain Layout +Grid Size +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +1 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +2 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +3 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +4 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +5 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +6 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +7 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +8 +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +1 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1616 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1489 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1807 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1797 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1792 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1771 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1756 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1744 +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +2 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1981 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1848 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.211 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.2125 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.2052 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.2021 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1997 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1928 +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +3 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.2008 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1881 +\end_layout + 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+\begin_layout Plain Layout +0.2134 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.205 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.2014 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1977 +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +5 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.2125 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1928 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.2073 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.2056 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.2004 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.196 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1922 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1849 +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +6 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.2044 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1857 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.2047 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.2035 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.197 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1919 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1878 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1828 +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +7 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.2134 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1912 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.2095 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.2062 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.2029 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1977 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1883 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1828 +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +8 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.2081 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1898 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.2059 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.2049 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1999 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1939 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1883 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0.1836 +\end_layout + +\end_inset + + + + +\end_inset + + \end_layout \end_body diff --git a/util/deflateEigen.m b/util/deflateEigen.m index 58fb518..8346ab7 100644 --- a/util/deflateEigen.m +++ b/util/deflateEigen.m @@ -1,4 +1,15 @@ function E=deflateEigen(E, param) -E.val=E.val(1:param); -E.vct=E.vct(:,1:param); +totalenergy=sum(abs(E.val)); +currentenergy=0; +rank=0; +for i=1:size(E.vct,2) + if currentenergy>(totalenergy*param) + break; + end + rank=rank+1; + currentenergy=currentenergy+E.val(i); +end + +E.val=E.val(1:rank); +E.vct=E.vct(:,1:rank);