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2-D correlation coefficient


r = corr2(A,B)
r = corr2(gpuarrayA,gpuarrayB)


r = corr2(A,B) returns the correlation coefficient r between A and B, where A and B are matrices or vectors of the same size. r is a scalar double.

r = corr2(gpuarrayA,gpuarrayB) performs the operation on a GPU. The input images are 2-D gpuArrays of the same size. r is a scalar double gpuArray. This syntax requires the Parallel Computing Toolbox™.

Class Support

A and B can be numeric or logical. The return value r is a scalar double.

gpuarrayA and gpuarrayB must be real, 2-D gpuArrays. If either A or B is not a gpuArray, it must be numeric or logical and nonsparse. corr2 moves any data not already on the GPU to the GPU. R is a scalar double gpuArray.


Compute the correlation coefficient

Compute the correlation coefficient between an image and the same image processed with a median filter.

I = imread('pout.tif');
J = medfilt2(I);
R = corr2(I,J)
R = 0.9959

Compute the Correlation Coefficient on a GPU

Compute the correlation coefficient on a GPU between an image and the same image processed using standard deviation filtering.

I = gpuArray(imread('pout.tif'));
J = stdfilt(I);
R = corr2(I,J)
R =



corr2 computes the correlation coefficient using


where A¯ = mean2(A), and B¯ = mean2(B).

See Also

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Introduced before R2006a

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