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Fitting subdivision surfaces

Litke, Nathan and Levin, Adi and Schröder, Peter (2001) Fitting subdivision surfaces. In: IEEE Visualization 2001. IEEE . https://resolver.caltech.edu/CaltechAUTHORS:20230210-463137000.2

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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:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.1109/visual.2001.964527DOIConference Paper
https://resolver.caltech.edu/CaltechAUTHORS:20230210-222759443Related ItemTechnical Report
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.
Funders:
Funding AgencyGrant Number
NSFDMS-9874082
NSFDMS-9872890
NSFACI-9982273
Alias|wavefrontUNSPECIFIED
PixarUNSPECIFIED
MicrosoftUNSPECIFIED
IntelUNSPECIFIED
Lucent TechnologiesUNSPECIFIED
David and Lucile Packard FoundationUNSPECIFIED
DOI:10.1109/visual.2001.964527
Record Number:CaltechAUTHORS:20230210-463137000.2
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20230210-463137000.2
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:119211
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:11 Feb 2023 00:02
Last Modified:11 Feb 2023 00:03

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