Module procrustes

source code

Functions

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best_orthogonal_transform(X, Y)
Finds the best orthogonal transform R between X and Y, such that R X ~= Y.

source code

best_similarity_transform(X, Y)
Finds the best transform (R,t) between X and Y, such that R X + t ~= Y.

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closest_orthogonal_matrix(M)
Finds the closest orthogonal matrix to M.

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Variables

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__package__ = 'geometry'

Function Details

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best_orthogonal_transform(X, Y)

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Finds the best orthogonal transform R  between X and Y,
       such that R X ~= Y. 


:param Y: 
:type Y:  ``array[KxN]``

:param X: 
:type X:  ``array[KxN],K>=2,K<N``

:rtype:  ``array[KxK],orthogonal``

best_similarity_transform(X, Y)

source code

Finds the best transform (R,t)  between X and Y,
       such that R X + t ~= Y. 


:param Y: 
:type Y:  ``array[KxN]``

:param X: 
:type X:  ``array[KxN],K>=2,K<N``

:rtype:  ``tuple((array[KxK],orthogonal),array[Kx1])``

closest_orthogonal_matrix(M)

source code

Finds the closest orthogonal matrix to M.

:param M: :type M: ``array[NxN]``

:rtype: ``array[NxN],orthogonal``