Fair surface reconstruction through rational triangular cubic Bézier patches

Code:
20/2017
Title:
Fair surface reconstruction through rational triangular cubic Bézier patches
Date:
Tuesday 14th March 2017
Author(s):
Albrecht G.; Caliò F.; Miglio E.
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Abstract:
We consider the problem from reverse engineering to construct a G^1 continuous interpolant to a triangulated set of 3D points and corresponding normals by fitting a composite surface consisting of rational triangular Bézier patches by using the so--called rational blend technique. The solution depends on free shape parameters which are fixed by minimizing different functionals depending on suitable surface metrics.