Transformation matrix to rotate image

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Nawel
Nawel 2023-2-10
评论： Nawel 2023-2-16
I'm trying to find a matrix such that its multiplication with another matrix rotates the latter :
Let be my image/matrix and the vectorized image/matrix.
I'm looking for a "rotation" matrix F such as where is the vectorized rotated image.
Here's what I tried :
by identification
Any idea on how construct such matrix with matlab ?

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Matt J
Matt J 2023-2-10
See the section Image Transformations with Localized Responses (localfunc2mat) under the Examples tab of this FEX download,
https://www.mathworks.com/matlabcentral/fileexchange/44669-convert-linear-functions-to-matrix-form?s_tid=srchtitle
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Matt J
Matt J 2023-2-13
编辑：Matt J 2023-2-13
Ran in:
Did you read the demo under the Examples tab that I referenced? You should have found a direct demonstration there. Here it is again:
xsiz=[256,256];
X1=imresize( double(im2gray(imread('cameraman.tif'))) ,xsiz);
X2=imresize( double(im2gray(imread('peppers.png'))) ,xsiz);
tic;
[A,ysiz]=localfunc2mat(@(x) imrotate(x,-30,'crop') ,...
xsiz,2); %convert to matrix form
toc
Elapsed time is 0.955735 seconds.
Y1=reshape( A*X1(:) , ysiz); %rotate images with matrix multiplication
Y2=reshape( A*X2(:) , ysiz);
montage({X1,Y1,X2,Y2},'DisplayRange',[0,256],'Size',[2,2])
Nawel
Nawel 2023-2-16
Hi again,
Thank you for your answer !

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