How to decompose affine matrix to know rotation angle and translation?

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arindam mondal 2021-12-21

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https://ww2.mathworks.cn/matlabcentral/answers/1615365-how-to-decompose-affine-matrix-to-know-rotation-angle-and-translation

评论： Matt J 2021-12-22

I am using affine transformation in the function imregtform in Matlab. The output of the function tform.T gives an affine matrix. Affine matrix consists of translation, rotation, scale, and shear. In matlab affine matrix look like

translation would be e, and f. Now I want to decompose

to find the rotation angle. But I don't know which order rotation, scale, and shear should be decomposed? Hence kindly recommend something.

Also if there is any easy way to find the rotation angle please suggest.

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采纳的回答

Matt J 2021-12-21

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https://ww2.mathworks.cn/matlabcentral/answers/1615365-how-to-decompose-affine-matrix-to-know-rotation-angle-and-translation#answer_859585

This looks applicable:

https://math.stackexchange.com/questions/612006/decomposing-an-affine-transformation

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arindam mondal 2021-12-22

编辑：arindam mondal 2021-12-22

But different way of decomposition gives different rotation angle is it not true?

Matt J 2021-12-22

Yes, it's true, but what does it matter?

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