Title('Carol''s tries to draw Alice''s line') % How similar are Alice's and Bob's drawing of a line? Title('RobotBob tries to draw Alice''s line') subplot(1,3,3) imagesc(Carol) axis image colormap gray Title('Alice''s nice line drawing') subplot(1,3,2) imagesc(RobotBob) axis image colormap gray Subplot(1,3,1) imagesc(Alice) axis image colormap gray % A value of '1' = the line object (foreground). % Compute the Jaccard similarity coefficient (index) of two images. % jaccardDistance_ac = % 0.2500 % % As expected, we can see there is LESS 'distance' between Alice's and % Carol's drawing of a line than Alice's and Bob's drawing of a line (0.8). JaccardIndex_ac = sum (Alice (: ) & Carol (: ) ) / sum (Alice (: ) | Carol (: ) ) %jaccardIndex_ac = % 0.7500 % % As expected, we can see that Alice's and Carol's drawing of a line is % much MORE 'similar' than Alice's and Bob's drawing (0.2). % jaccardDistance = % 0.8000 %% How simililar are Alice and Carol's two line drawings? % We can compute Jaccard's index in a single line, % jaccardIndex = % 0.2000 % Jaccard distance shows how dis-similar the two line drawings are. % So intuitively we might expect that a similarity of 1/5 would % be a good indication. % There is only one pixel that overlaps (intersects) % We compute the union of the two lines using the 'OR' operator '|'.Р”Р‡igure imagesc (unionImg ) axis image colormap gray title ( 'union' ) % We compute the intersection of the two lines using the 'AND' operator '&'.Р”Р‡igure imagesc (intersectImg ) axis image colormap gray title ( 'intersection' ) % How similar are Alice's and Bob's drawing of a line? % An intuitive way to measure this is to compare each of the white 'line' % pixels (a value of '1') to each other and see how many white pixels % overlap compared to the total number of white line pixels. Title ( 'Carol' 's tries to draw Alice' 's line' ) Subplot ( 1, 3, 3 ) imagesc (Carol ) axis image colormap gray Title ( 'RobotBob tries to draw Alice' 's line' ) Subplot ( 1, 3, 2 ) imagesc (RobotBob ) axis image colormap gray Subplot ( 1, 3, 1 ) imagesc (Alice ) axis image colormap gray

% JaccardTest.m % Compute the Jaccard similarity coefficient (index) of two images.

Jaccard coefficient xlstat