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TCS
2008

Curves and surfaces represented by polynomial support functions

9 years 8 months ago
Curves and surfaces represented by polynomial support functions
This paper studies shapes (curves and surfaces) which can be described by (piecewise) polynomial support functions. The class of these shapes is closed under convolutions, offsetting, rotations and translations. We give a geometric discussion of these shapes and present methods for the approximation of general curves and surfaces by them. Based on the rich theory of spherical spline functions, this leads to computational techniques for rational curves and surfaces with rational offsets, which can deal with shapes without inflections/parabolic points. Key words: polynomial support function, approximation by spherical splines, offset surfaces, convolutions.
Zbynek Sír, Jens Gravesen, Bert Jüttle
Added 15 Dec 2010
Updated 15 Dec 2010
Type Journal
Year 2008
Where TCS
Authors Zbynek Sír, Jens Gravesen, Bert Jüttler
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