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Published in:
1998 | OriginalPaper | Chapter
A G 2-Subdivision Algorithm
Authors : H. Prautzsch, G. Umlauf
Published in: Geometric Modelling
Publisher: Springer Vienna
Included in: Professional Book Archive
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In this paper we present a method to optimize the smoothness order of subdivision algorithms generating surfaces of arbitrary topology. In particular we construct a subdivision algorithm with some negative weights producing G2-surfaces. These surfaces are piecewise bicubic and are flat at their extraordinary points. The underlying ideas can also be used to improve the smoothness order of subdivision algorithms for surfaces of higher degree or triangular nets.