Inconsistency in the definition of two geometric transformation matrices (tform)

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GURAY SONUGUR
GURAY SONUGUR 2020-2-5
编辑： Matt J 2020-2-5
In image processing, when I looked at the literature, I realized that the geometric transformation matrix (tform) in many resources is defined as follows:
Picture1.png
However, in Matlab, this matrix is defined as follows.
Picture2.png
Which one is true? I can not calculate tx and ty values in combined tform matrices.
Can anyone help me?

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Matt J
Matt J 2020-2-5
编辑：Matt J 2020-2-5
The second form is the one expected by maketform. The only difference between the two conventions is that with the first, the transformation matrix transforms a column-vector by left-hand matrix multiplication, while with the second form, points are represented as row vectors and are transformed by right-hand matrix multiplication.

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