procrustes for incomplete point sets

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Karel
Karel 2021-1-4
回答： Pratyush 2024-2-12
I need to find a linear transformation (exaclty as funcion procrustes does) for overlapping, but incomplete point sets.
That means, not all points of X are present in Y, and vice versa, not all points of Y are present in X.
What is the best way to do that?
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Karel
Karel 2021-1-4
Perhaps some kind of RANSAC could be applied? A randomly selected subsamples of identical size from both sets should be selected and the tranformation calculcated for them? How large the subsamples should be? Any experience?

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Pratyush
Pratyush 2024-2-12
Hi Karel
To align incomplete point sets in MATLAB when using the "procrustes" function yo can do the following:
  • Determine which points in set X correspond to points in set Y based on some criteria or identifiers.
  • Form two new subsets containing only the corresponding points from the original sets X and Y.
  • Use the "procrustes" function on these subsets to calculate the optimal linear transformation.
  • Apply the obtained transformation to the full set X to align it with set Y.
Note that establishing correspondences between points is a crucial step and may require manual intervention or advanced feature matching techniques depending on the data.

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