Delaunay3D: find a tetrahedron enclosing a query point

leonid <[email protected]> Wed, 16 Jan 2019 00:36:08 -0700 (MST)
Newsgroups gmane.comp.lib.vtk.user
Message-ID <[email protected]>
Hello.

Suppose I have built a 3D delaunay triangulation out of N points.  Now I
have a query point, and I need to find the tetrahedron of the triangulation
which encloses the query point.  How to do it?

I am aware of CellLocator, but the documentation warns that it might be
slow.  Is there some fast (and ideally simple) method that utilizes the fact
that the tetrahedrons are not arbitrary, but rather the result of 3D
delaunay?

Thank you,

leonid





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