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Fitting Subdivision Surfaces

Litke, Nathan and Levin, Adi and Schröder, Peter (2001) Fitting Subdivision Surfaces. ASCI Technical Report, ASCI-TR148. . (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20230210-222759443

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Abstract

We introduce a new algorithm for fitting a Catmull-Clark subdivision surface to a given shape within a prescribed tolerance, based on the method of quasi-interpolation. The fitting algorithm is fast, local and scales well since it does not require the solution of linear systems. Its convergence rate is optimal for regular meshes and our experiments show that it behaves very well for irregular meshes. We demonstrate the power and versatility of our method with examples from interactive modeling, surface fitting, and scientific visualization.


Item Type:Report or Paper (Technical Report)
Related URLs:
URLURL TypeDescription
https://resolver.caltech.edu/CaltechAUTHORS:20230210-463137000.2Related ItemConference Paper
ORCID:
AuthorORCID
Schröder, Peter0000-0002-0323-7674
Additional Information:This work has been supported in part by NSF (DMS-9874082, DMS-9872890, ACI-9982273), Alias|Wavefront, Pixar, Microsoft, Intel, Lucent, and the Packard Foundation. Special thanks to Geoff Banner, Khrysaundt Koenig, Rick Kogucki, and Cory Mogk for modeling, lighting, and texturing, and to Igor Guskov and Santiago V. Lombeyda for help with the fluids dataset. Datasets are courtesy of Cyberware as well as Andy Cook and Paul Dimotakis.
Group:Accelerated Strategic Computing Initiative
Funders:
Funding AgencyGrant Number
NSFDMS-9874082
NSFDMS-9872890
NSFACI-9982273
Alias|wavefrontUNSPECIFIED
PixarUNSPECIFIED
MicrosoftUNSPECIFIED
IntelUNSPECIFIED
Lucent TechnologiesUNSPECIFIED
David and Lucile Packard FoundationUNSPECIFIED
Series Name:ASCI Technical Report
Issue or Number:ASCI-TR148
Record Number:CaltechAUTHORS:20230210-222759443
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20230210-222759443
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:119210
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:10 Feb 2023 23:56
Last Modified:10 Feb 2023 23:56

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