Advertisement
Published in:
2005 | OriginalPaper | Chapter
Subdivision as a Sequence of Sampled Cp Surfaces
Authors : Cédric Gérot, Loïc Barthe, Neil A. Dodgson, Malcolm Sabin
Published in: Advances in Multiresolution for Geometric Modelling
Publisher: Springer Berlin Heidelberg
Activate our intelligent search to find suitable subject content or patents.
Select sections of text to find matching patents with Artificial Intelligence. powered by
Select sections of text to find additional relevant content using AI-assisted search. powered by
This article deals with practical conditions for tuning a subdivision scheme in order to control its artifacts in the vicinity of a mark point. To do so, we look for good behaviour of the limit vertices rather than good mathematical properties of the limit surface. The good behaviour of the limit vertices is characterised with the definition of
C
2
-convergence of a scheme. We propose necessary explicit conditions for
C
2
-convergence of a scheme in the vicinity of any mark point being a vertex of valency greater or equal to three.