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How to determine transformation matrix for an object given a graph?

Regarding question 3: There are many ways to solve this problem. Some answers are here and here. You can also create a system of equations by writing down the matrix multiplication symbolically. $$ X ...
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How to determine transformation matrix for an object given a graph?

This kind of problem is usually called shape matching. It is possible to deduce the transformation between two given sets of positions. You can learn more about the shape matching here Müller, ...
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