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Volume-controlled surface fairing

Eckstein, I. and Tong, Y. and Kuo, C.-C. J. and Desbrun, M. (2007) Volume-controlled surface fairing. In: SIGGRAPH '07 ACM SIGGRAPH 2007 sketches. ACM , New York, NY, Art. No. 8. ISBN 978-1-4503-4726-6.

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Surface fairing is a central geometry processing tool, routinely used for denoising and smoothing applications---see [Botsch et al. 2006], Chap. 7 for an overview of the extensive literature on the subject. A notorious shortcoming of basic fairing schemes is volume shrinkage. Existing remedies often suffer from sensitivity to choice of parameters [Taubin 1995], are subject to unnatural global effects [Hermosillo et al. 1999], or resort to higher-order, computationally intensive surface evolutions [Bobenko and Schröder 2005]. Instead, we propose a simple, efficient and unconditionally stable smoothing scheme that implements a locally volume-controlled flow, with near preservation of volume. Our approach directly modifies the implicit fairing scheme [Desbrun et al. 1999], but it can be used to build volume control into any other surface flow.

Item Type:Book Section
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Desbrun, M.0000-0003-3424-6079
Additional Information:© 2007 ACM.
Record Number:CaltechAUTHORS:20161018-163307087
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:71245
Deposited By: Kristin Buxton
Deposited On:18 Oct 2016 23:55
Last Modified:03 Mar 2020 13:01

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