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Anisotropic point set surfaces

 
: Adamson, A.; Alexa, M.

:

Association for Computing Machinery -ACM-, Special Interest Group on Graphics -SIGGRAPH-; European Association for Computer Graphics -EUROGRAPHICS-:
AFRIGRAPH 2006, 4th International Conference on Virtual Reality, Computer Graphics, Visualisation and Interaction in Africa. Proceedings : 25-27 January 2006, Cape Town, South Africa
New York: ACM, 2006
ISBN: 1-59593-288-7
pp.7-13; 185
International Conference on Computer Graphics, Virtual Reality and Interaction in Africa (AFRIGRAPH) <4, 2006, Cape Town/South Africa>
English
Conference Paper
Fraunhofer IGD ()
point set surface; curvature; surface representation

Abstract
Point Set Surfaces define smooth surfaces from regular samples based on weighted averaging of the points. Because weighting is done based on a spatial scale parameter, point set surfaces apply basically only to regular samples. We suggest to attach individual weight functions to each sample rather than to the location in space. This extends Point Set Surfaces to irregular settings, including anisotropic sampling adjusting to the principal curvatures of the surface. In particular, we describe how to represent surfaces with ellipsoidal weight functions per sample. Details of deriving such a representation from typical inputs and computing points on the surface are discussed.

: http://publica.fraunhofer.de/documents/N-45627.html