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   -> Volume 5, Issue 3


Preprint: Interpolating Subdivision for Meshes with Arbitrary Topology
 
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Wim Sweldens (wim@bell-labs.com)
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PostPosted: Wed Dec 04, 2002 9:51 am    
Subject: Preprint: Interpolating Subdivision for Meshes with Arbitrary Topology
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Preprint: Interpolating Subdivision for Meshes with Arbitrary Topology

Title: Interpolating Subdivision for Meshes with Arbitrary Topology

Authors: Denis Zorin, Peter Schroeder, and Wim Sweldens

Abstract: Subdivision is a powerful paradigm for the generation of
surfaces of arbitrary topology. Given an initial triangular mesh the
goal is to produce a smooth and visually pleasing surface, whose shape
is controlled by the initial mesh. Of particular interest are
interpolating schemes since they match the original data exactly, and
are crucial for fast multiresolution and wavelet techniques. Dyn,
Gregory, and Levin introduced the Butterfly scheme, which is known to
yield C1 surfaces in the topologically regular setting. Unfortunately
it exhibits various degeneracies in case of an irregular topology,
leading to undesirable artifacts. We examine these failures and derive
an improved scheme, which retains the simplicity of the Butterfly
scheme, is interpolating, and results in smoother surfaces.

Status: Technical Report CS-TR-96-06, Computer Graphics Group,
Department of Computer Science, California Institute of
Technology, 1996
To appear in Computer Graphics Proceedings (SIGGRAPH 96).

The postscript file & color images can be retrieved from:

http://www.cs.caltech.edu/~ps/zorin/
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