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. https://resolver.caltech.edu/CaltechAUTHORS:20161018-163307087
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Abstract
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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Additional Information: | © 2007 ACM. | |||||||||
Record Number: | CaltechAUTHORS:20161018-163307087 | |||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20161018-163307087 | |||||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
ID Code: | 71245 | |||||||||
Collection: | CaltechAUTHORS | |||||||||
Deposited By: | Kristin Buxton | |||||||||
Deposited On: | 18 Oct 2016 23:55 | |||||||||
Last Modified: | 03 Mar 2020 13:01 |
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