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How to calculate the dice similarity coefficient

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Dear All,
Anyone know how to calculate the dice similarity my image data set as attached.

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Rik
Rik il 12 Ott 2023
Let's first see what you have in those mat files:
s1=load('prediction.mat')
s1 = struct with fields:
allBW: [130×130×90 logical]
s2=load('groundtruth.mat')
s2 = struct with fields:
allBW: [130×130×90 logical]
So you have two equal-sized binary arrays.
Ten seconds of Googling ('wiki dice coefficient') can give you this formula:
dice = 2*union of X and Y / X+Y
Now you only have to implement this in Matlab.
X = s1.allBW;
Y = s2.allBW;
X = X(:);Y = Y(:); % linearize to make notation clearer
DSC = (2*sum(X&Y))/(sum(X)+sum(Y))
DSC = 0.8806
We can check this implementation by using the other notation:
DSC = 2TP/(2TP+FP+FN)
% (for the calculation X and Y can either be the ground truth, the DSC will
% have the same value)
TP = sum( X& Y);
FP = sum( X&~Y);
FN = sum(~X& Y);
DSC = 2*TP/(2*TP+FP+FN)
DSC = 0.8806

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