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Interpolating Subdivision for Meshes of Arbitary Topology

Zorin, Denis and Schroder, Peter and Sweldens, Wim (1996) Interpolating Subdivision for Meshes of Arbitary Topology. California Institute of Technology . (Unpublished) http://resolver.caltech.edu/CaltechCSTR:1996.cs-tr-96-06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


Item Type:Report or Paper (Technical Report)
Group:Computer Science Technical Reports
Record Number:CaltechCSTR:1996.cs-tr-96-06
Persistent URL:http://resolver.caltech.edu/CaltechCSTR:1996.cs-tr-96-06
Usage Policy:You are granted permission for individual, educational, research and non-commercial reproduction, distribution, display and performance of this work in any format.
ID Code:26889
Collection:CaltechCSTR
Deposited By: Imported from CaltechCSTR
Deposited On:14 May 2001
Last Modified:26 Dec 2012 14:08

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