[pdal] Eigenvalues for .las Data

Joseph S Faraguna faraguna at mit.edu
Mon Jul 8 09:41:42 PDT 2019


Hi everyone,

I am wondering what matrix is passed into Eigen's SelfAdjointEigenSolver
<https://eigen.tuxfamily.org/dox/classEigen_1_1SelfAdjointEigenSolver.html>
when filters.eigenvalues is called on a .las file. The filters.eigenvalues
documentation states that the decomposition is performed for each point
with knn nearest neighbors, but to my understanding decompositions can only
be performed on square matrices. I was originally imagining a matrix of
points like

[x0 x1 x2 x3 ... xknn]

]y0 y1 y2 y3 ... yknn]

[z0 z1 z2 z3 ... zknn]

but this would definitely not be square. Is it a covariance matrix for all
points, kind of analagous to PCA?

Best,

Joe Faraguna
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