using imresize in the fourier domain

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raheem mian
raheem mian 2020-2-12
回答： Farhath Fatima 2020-2-12
x = rand(200,200);
y = imresize(x,2);
v1 = fftn(y);
v = fftn(x);
v2 = imresize(v,1/2) ./ 2;
My question is would v1 and v2 be the same matrix ? or am I using the fourier scaling theorem incorrectly ?

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回答（1 个）

Farhath Fatima
Farhath Fatima 2020-2-12
Hi Raheem,
As per understanding, v1 and v2 would not be same matrix. First the sizes of both the matrices are not same. Size of v1 is 400*400 and size of v2 is 100*100.
v1 is obtained from y, which inturn is scaled to twice of size of x.
v2 is obtained from scaling v to ½ its size, which inturn is obtained from fourier of x.
First Scaling has to be proper to compare any two matrices.

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