What is the unit of the translation component of the procrustes algorithm/function?

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Anne on 5 Dec 2017

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Answered: Div Tiwari on 13 Dec 2017

I use the procrustes function for two matrices and I want to get the translational component. I have the vector for the translational component, but I want to know the unit of the vector? Is it the same is my input? So if I have a matrix with positions in millimeters, my translational component is also in millimeters?

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Answer 1

Div Tiwari on 13 Dec 2017

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Yes, the units are the same as that of the input.

I presume that the translational component you are referring to is given by 'transform.c' when executing '[d,Z,transform] = procrustes(X,Y)'. As the documentation shows, Z = b*Y*T + c, which implies that 'c' has the same units as the transformed values in 'Z' and therefore the same units as 'X' and 'Y'.