The DOI matches its Crossref record; 12 of the 12 references it cites were found in a registry or an index.
Curve and surface smoothing without shrinkage
Abstract
For a number of computational purposes, including visualization of scientific data and registration of multimodal medical data, smooth curves must be approximated by polygonal curves, and surfaces by polyhedral surfaces. An inherent problem of these approximation algorithms is that the resulting curves and surfaces appear faceted. Boundary-following and iso-surface construction algorithms are typical examples. To reduce the apparent faceting, smoothing methods are used. In this paper, we introduce a new method for smoothing piecewise linear shapes of arbitrary dimension and topology. This new method is in fact a linear low-pass filter that removes high-curvature variations, and does not produce shrinkage. Its computational complexity is linear in the number of edges or faces of the shape, and the required storage is linear in the number of vertices.>
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Cites
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Computer graphics: principles and practice
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Fourier Descriptors for Plane Closed Curves
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A signal processing approach to fair surface design
Taubin, G. (1995) · Proceedings of the 22nd annual conference on Computer graphics and interactive techniques - SIGGRAPH '95 · doi:10.1145/218380.218473 · Cited by 1,855
Self-citationScale-space filtering: A new approach to multi-scale description
Witkin, A. (2005) · ICASSP '84. IEEE International Conference on Acoustics, Speech, and Signal Processing · doi:10.1109/icassp.1984.1172729 · Cited by 1,086
Computer graphics — principles and practice
Leitáo, V. (1992) · Advances in Engineering Software · doi:10.1016/0965-9978(92)90087-v · Cited by 820
Scale-space for discrete signals
Lindeberg, T. (1990) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/34.49051 · Cited by 620
Estimating the tensor of curvature of a surface from a polyhedral approximation
Taubin, G. (2002) · IEEE International Conference on Computer Vision (ICCV) · doi:10.1109/iccv.1995.466840 · Cited by 558
Self-citationEfficient, fair interpolation using Catmull-Clark surfaces
Halstead, M., Kass, M., & DeRose, T. (1993) · Proceedings of the 20th annual conference on Computer graphics and interactive techniques · doi:10.1145/166117.166121 · Cited by 393
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Schlager, S. (2017) · Statistical Shape and Deformation Analysis · doi:10.1016/b978-0-12-810493-4.00011-0 · Cited by 894
Gosselin, M.-C., Neufeld, E., Moser, H., Huber, E., Farcito, S., Gerber, L., Jedensjö, M., Hilber, I., Gennaro, F. D., Lloyd, B., et al. (2014) · Physics in Medicine and Biology · doi:10.1088/0031-9155/59/18/5287 · Cited by 520
Deep appearance models for face rendering
Lombardi, S., Saragih, J., Simon, T., & Sheikh, Y. (2018) · ACM Transactions on Graphics · doi:10.1145/3197517.3201401 · Cited by 282
Wagstyl, K., Larocque, S., Cucurull, G., Lepage, C., Cohen, J. P., Bludau, S., Palomero-Gallagher, N., Lewis, L. B., Funck, T., Spitzer, H., et al. (2020) · PLOS Biology · doi:10.1371/journal.pbio.3000678 · Cited by 218
A Validated Method for Dense Non-rigid 3D Face Registration
Tena, J., Hamouz, M., Hilton, A., & Illingworth, J. (2006) · 2006 IEEE International Conference on Video and Signal Based Surveillance · doi:10.1109/avss.2006.15 · Cited by 32
Metadata
- Authors
- Taubin, G.
- Venue
- Proceedings of IEEE International Conference on Computer Vision
- Publisher
- IEEE Comput. Soc. Press
- Published
- 2002-11-19
- Pages
- 852-857
- OpenAlex
- W2148952796
- Cited by
- 420
- References
- 12
- FWCI
- 9.51
- Type
- conference paper
- Language
- en
- Open access
- closed
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