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Interpolating Subdivision for Meshes of Arbitary Topology

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 (Unpublished) http://resolver.caltech.edu/CaltechCSTR:1996.cs-tr-96-06

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Use this Persistent URL to link to this item: http://resolver.caltech.edu/CaltechCSTR:1996.cs-tr-96-06

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)
Additional Information:© 1996 California Institute of Technology. This work was supported in part by an equipment from Hewlett Packard and funds provided to second author by the Charles Lee Powell Foundation. Additional support was provided by NSF (ASC-89-20219), as part of the NSF/DARPA STC for Computer Graphics and Scientific Visualization. All opinions, findings, conclusions, or recommendations expressed in this document are those of the authors and do not necessarily reflect the views of the sponsoring agencies.
Group:Computer Science Technical Reports
Funders:
Funding AgencyGrant Number
Hewlett-PackardUNSPECIFIED
Charles Lee Powell FoundationUNSPECIFIED
NSFASC-89-20219
DOI:10.7907/Z93B5X5W
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:11 Apr 2017 16:59

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