Is this a Quadrisected Mesh?

Taubin, Gabriel (2000) Is this a Quadrisected Mesh? Technical Report. California Institute of Technology. [CaltechCSTR:2000.008]

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Abstract

In this paper we introduce a fast and efficient linear time and space algorithm to detect and reconstruct uniform Loop subdivision structure, or triangle quadrisection, in irregular triangular meshes. Instead of a naive sequential traversal algorithm, and motivated by the concept of covering surface in Algebraic Topology, we introduce a new algorithm based on global connectivity properties of the covering mesh. We consider two main applications for this algorithm. The first one is to enable interactive modeling systems that support Loop subdivision surfaces, to use popular interchange file formats which do not preserve the subdivision structure, such as VRML, without loss of information. The second application is to improve the compression efficiency of existing lossless connectivity compression schemes, by optimally compressing meshes with Loop subdivision connectivity. Extensions to other popular uniform primal subdivision schemes such as Catmul-Clark, and dual schemes such as Doo-Sabin, are relatively strightforward but will be studied elsewhere.

EPrint Type:	Monograph (Technical Report)
Subjects:	All Records
ID Code:	171
Deposited By:	Caltech Library System
Deposited On:	25 April 2001
Record Number:	CaltechCSTR:2000.008
Official Persistent URL:	http://resolver.caltech.edu/CaltechCSTR:2000.008
Usage Policy:	You are granted permission for individual, educational, research and non-commercial reproduction, distribution, display and performance of this work in any format.

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