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Interpolating Subdivision for meshes with arbitrary topology

Zorin, Denis and Schröder, Peter and Sweldens, Wim (1996) Interpolating Subdivision for meshes with arbitrary topology. In: SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques. ACM , New York, NY, pp. 189-192. ISBN 0-89791-746-4. http://resolver.caltech.edu/CaltechAUTHORS:20170110-142159612

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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 play an important role in fast multiresolution and wavelet techniques. Dyn, Gregory, and Levin introduced the Butterfly scheme, which yields C^1 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:Book Section
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1145/237170.237254DOIArticle
http://dl.acm.org/citation.cfm?doid=237170.237254PublisherArticle
Additional Information:© 1996 ACM. This work was supported in part by an equipment grant from Hewlett Packard and funds provided to the 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.
Funders:
Funding AgencyGrant Number
Hewlett-PackardUNSPECIFIED
Charles Lee Powell FoundationUNSPECIFIED
NSFASC-89-20219
Record Number:CaltechAUTHORS:20170110-142159612
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20170110-142159612
Official Citation:Denis Zorin, Peter Schröder, and Wim Sweldens. 1996. Interpolating Subdivision for meshes with arbitrary topology. In Proceedings of the 23rd annual conference on Computer graphics and interactive techniques (SIGGRAPH '96). ACM, New York, NY, USA, 189-192. DOI=http://dx.doi.org/10.1145/237170.237254
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:73392
Collection:CaltechAUTHORS
Deposited By: Kristin Buxton
Deposited On:10 Jan 2017 23:47
Last Modified:10 Jan 2017 23:47

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