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corr2

2-D correlation coefficient

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Syntax

R = corr2(A,B)

Description

R = corr2(A,B) returns the 2-D correlation coefficient R between arrays A and B.

example

Examples

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Open Live Script

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

Input Arguments

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First input array, specified as a numeric or logical array.

Data Types: single | double | int8 | int16 | int32 | int64 | uint8 | uint16 | uint32 | uint64 | logical

Second input array, specified as a numeric or logical array. B has the same size as the first input array, A.

Data Types: single | double | int8 | int16 | int32 | int64 | uint8 | uint16 | uint32 | uint64 | logical

Output Arguments

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Correlation coefficient, returned as a numeric scalar.

Data Types: double

Algorithms

corr2 computes the correlation coefficient using

r=∑m∑n(Amn−A¯)(Bmn−B¯)(∑m∑n(Amn−A¯)2)(∑m∑n(Bmn−B¯)2)

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

Extended Capabilities

Version History

Introduced before R2006a

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See Also

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