Interpolating Subdivision for Meshes of Arbitary Topology

Zorin, Denis and Schroder, Peter and Sweldens, Wim (1996) Interpolating Subdivision for Meshes of Arbitary Topology. Technical Report. California Institute of Technology. [CaltechCSTR:1996.cs-tr-96-06]

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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 mutliresolution and wavelet techniques. Dyn, Gregory, and Levin introduced the Butterfly scheme [17], which yields C1 surfaces in the topologically regular setting. Unfortunately it exhibits undesirable artifacts in the case of an irregular topology. We examine these failures and derive an improved scheme, which retains the simplicity of the Butterfly scheme, is interpolating, and results in smoother surfaces

EPrint Type:	Monograph (Technical Report)
Subjects:	All Records
ID Code:	247
Deposited By:	Caltech Library System
Deposited On:	14 May 2001
Record Number:	CaltechCSTR:1996.cs-tr-96-06
Official Persistent URL:	http://resolver.caltech.edu/CaltechCSTR:1996.cs-tr-96-06
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