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A simple algorithm for surface denoising

Published: 21 October 2001 Publication History

Abstract

We present a simple denoising technique for geometric data represented as a semiregular mesh, based on locally adaptive Wiener filtering. The degree of denoising is controlled by a single parameter (an estimate of the relative noise level) and the time required for denoising is independent of the magnitude of the estimate. The performance of the algorihm is sufficiently fast to allow interactive local denoising.

References

[1]
D. Andrews and C. Mallows. Scale mixtures of normal distributions. J. Royal Stat. Soc., 36:99-, 1974.
[2]
U. Clarenz, U. Diewald, and M. Rumpf. Anisotropic geometric diffusion in surface processing. In Proceedings of Visualization 2000, 2000.
[3]
M. S. Crouse, R. D. Nowak, and R. G. Baraniuk. Wavelet-based statistical signal processing using hidden Markov models. IEEE Trans. Signal Proc., 46:886-902, April 1998.
[4]
M. Desbrun, M. Meyer, P. Schröder, and A. Barr. Implicit fairing of irregular meshes using diffusion and curvature flow. In Siggraph '99, 1999.
[5]
Mathieu Desbrun, Mark Meyer, Peter Schröder, and Alan H. Barr. Anisotropic feature-preserving denoising of height fields and bivariate data. In Proceedings of Graphics Interface 2000, 2000.
[6]
Mathieu Desbrun, Mark Meyer, Peter Schröder, and Alan H. Barr. Discrete differential-geometry operators in nd. submitted, 2000.
[7]
D. Donoho. Denoising by soft-thresholding. IEEE Trans. Info. Theory, 43:613-627, 1995.
[8]
Igor Guskov and Zoë Wood. Topological noise removal. In Proceedings of Graphics Interface 2001, 2001.
[9]
Andrei Khodakovsky and Igor Guskov. Normal mesh compression. submitted for publication.
[10]
Andrei Khodakovsky, Peter Schröder, and Wim Sweldens. Progressive geometry compression. Proceedings of SIGGRAPH 2000, pages 271-278, July 2000. ISBN 1-58113-208-5.
[11]
D. T. Kuan, A. A. Sawchuk, T. C. Strand, and P. Chavel. Adaptive noise smoothing filter for images with signal-dependent noise. IEEE Pat. Anal. Mach. Intell., PAMI-7:165-177, March 1985.
[12]
J. S. Lee. Digital image enhancement and noise filtering by use of local statistics. IEEE Pat. Anal. Mach. Intell., PAMI-2:165-168, March 1980.
[13]
M. Levoy. Digital Michalangelo project Web site. http://www.graphics.stanford.edu/projects/mich/other-body-parts/other-body-parts.html.
[14]
Marc Levoy, Kari Pulli, Brian Curless, Szymon Rusinkiewicz, David Koller, Lucas Pereira, Matt Ginzton, Sean Anderson, James Davis, Jeremy Ginsberg, Jonathan Shade, and Duane Fulk. The digital michelangelo project: 3d scanning of large statues. Proceedings of SIGGRAPH 2000, pages 131-144, July 2000. ISBN 1-58113-208-5.
[15]
J. S. Lim. Two-dimensional Signal and Image Processing. Prentice Hall, 1990.
[16]
S. M. LoPresto, K. Ramchandran, and M. T. Orchard. Wavelet image coding based on a new generalized gaussian mixture model. In Data Compression Conf, Snowbird, Utah, March 1997.
[17]
M. K. Mihçak, I. Kozintsev, K. Ramchandran, and P. Moulin. Low-complexity image denoising based on statistical modeling of wavelet coefficients. IEEE Trans. on Signal Processing, 6(12):300-303, December 1999.
[18]
P. Moulin and J. Liu. Analysis of multiresolution image denoising schemes using a generalized Gaussian and complexity priors. IEEE Trans. Info. Theory, 45:909-919, 1999.
[19]
K. Pulli and M. Lounsbery. Hierarchical editing and rendering of subdivision surfaces. Technical Report UW-CSE-97-04-07, Dept. of CS&E, University of Washington, Seattle, WA, 1997.
[20]
E. P. Simoncelli and W. T. Freeman. The steerable pyramid: A flexible architecture for multi-scale derivative computation. In Second Int'l Conf on Image Proc, volume III, pages 444-447, Washington, DC, October 1995. IEEE Sig Proc Society.
[21]
E. P. Simoncelli, W. T. Freeman, E. H. Adelson, and D. J. Heeger. Shiftable multi-scale transforms. IEEE Trans Information Theory, 38(2):587-607, March 1992. Special Issue on Wavelets.
[22]
V. Strela. Denoising via block Wiener filtering in wavelet domain. In 3rd European Congress of Mathematics, Barcelona, July 2000. Birkhäuser Verlag.
[23]
V. Strela, J. Portilla, and E. Simoncelli. Image denoising using a local gaussian scale mixture model in the wavelet domain. In Proc SPIE, 45th Annual Meeting, San Diego, July 2000.
[24]
G. Taubin. A signal processing approach to fair surface design. In Siggraph '95, pages 351-358, 1995.
[25]
M. J. Wainwright and E. P. Simoncelli. Scale mixtures of Gaussians and the statistics of natural images. In S. A. Solla, T. K. Leen, and K.-R. Müller, editors, Adv. Neural Information Processing Systems, volume 12, pages 855-861, Cambridge, MA, May 2000. MIT Press.
[26]
Denis Zorin, Peter Schröder, and Wim Sweldens. Interactive multiresolution mesh editing. Proceedings of SIGGRAPH 97, pages 259-268, August 1997. ISBN 0-89791-896-7. Held in Los Angeles, California.

Cited By

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  • (2018)Denoising of point cloud data for computer-aided design, engineering, and manufacturingEngineering with Computers10.1007/s00366-017-0556-434:3(523-541)Online publication date: 1-Jul-2018
  • (2013)Feature-preserving surface mesh smoothing via suboptimal Delaunay triangulationGraphical Models10.1016/j.gmod.2012.10.00775:1(23-38)Online publication date: 1-Jan-2013
  • (2011)Removal of surface artifacts of material volume data with defectsProceedings of the 2011 international conference on Computational science and its applications - Volume Part II10.5555/2029256.2029306(624-634)Online publication date: 20-Jun-2011
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Published In

cover image ACM Conferences
VIS '01: Proceedings of the conference on Visualization '01
October 2001
607 pages
ISBN:078037200X

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IEEE Computer Society

United States

Publication History

Published: 21 October 2001

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Author Tags

  1. denoising
  2. gaussian scale mixture model
  3. meshes
  4. multiresolution surfaces

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VIS01
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VIS01: IEEE Visualization 2001
October 21 - 26, 2001
California, San Diego

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Cited By

View all
  • (2018)Denoising of point cloud data for computer-aided design, engineering, and manufacturingEngineering with Computers10.1007/s00366-017-0556-434:3(523-541)Online publication date: 1-Jul-2018
  • (2013)Feature-preserving surface mesh smoothing via suboptimal Delaunay triangulationGraphical Models10.1016/j.gmod.2012.10.00775:1(23-38)Online publication date: 1-Jan-2013
  • (2011)Removal of surface artifacts of material volume data with defectsProceedings of the 2011 international conference on Computational science and its applications - Volume Part II10.5555/2029256.2029306(624-634)Online publication date: 20-Jun-2011
  • (2009)Semi-regular quadrilateral-only remeshing from simplified base domainsProceedings of the Symposium on Geometry Processing10.5555/1735603.1735626(1427-1435)Online publication date: 15-Jul-2009
  • (2009)Robust denoising of point-sampled surfacesWSEAS Transactions on Computers10.5555/1534462.15344768:1(153-162)Online publication date: 1-Jan-2009
  • (2008)A smart stochastic approach for manifolds smoothingProceedings of the Symposium on Geometry Processing10.5555/1731309.1731316(1357-1364)Online publication date: 2-Jul-2008
  • (2008)Technical SectionComputers and Graphics10.1016/j.cag.2008.02.00232:2(129-140)Online publication date: 1-Apr-2008
  • (2007)Constraint-based fairing of surface meshesProceedings of the fifth Eurographics symposium on Geometry processing10.5555/1281991.1282019(203-212)Online publication date: 4-Jul-2007
  • (2007)Geometric modeling based on polygonal meshes Video files associated with this course are available from the citation pageACM SIGGRAPH 2007 courses10.1145/1281500.1281640(1-es)Online publication date: 5-Aug-2007
  • (2006)Geometric modeling based on triangle meshesACM SIGGRAPH 2006 Courses10.1145/1185657.1185839(1-es)Online publication date: 30-Jul-2006
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