Triangular G¹ Interpolation by 4-Splitting Domain Triangles (1999)
| Citations: | 3 - 3 self |
BibTeX
@MISC{Hahmann99triangularg¹,
author = {Stefanie Hahmann and Georges-Pierre Bonneau},
title = {Triangular G¹ Interpolation by 4-Splitting Domain Triangles},
year = {1999}
}
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Abstract
A piecewise quintic G¹ spline surface interpolating the vertices of a triangular surface mesh of arbitrary topological type is presented. The surface has an explicit triangular B'ezier representation, is affine invariant and has local support. The twist compatibility problem which arises when joining an even number of polynomial patches G¹ continuously around a common vertex is solved by constructing C²-consistent boundary curves. Piecewise C¹ boundary curves and a regular 4-split of the domain triangle make shape parameters available for controlling locally the boundary curves. A small number of free inner control points can be chosen for some additional local shape effects.
