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Mesh smoothing with shape or Feature preservation

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Abstract

In this paper, we develop mesh smoothing algorithms capable of retaining and even enhancing important shape characteristics of the original model. For a preservation of overall shape or low frequency characteristics, we propose the simple idea of one-step shape restoration, which partially recovers the low frequency contribution attenuated away by Laplacian smoothing.

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References

  1. U. Clarenz, U. Diewald, M. Rumpf. “Nonlinear Anisotropic Geometric Diffusion in Surface Processing,” Proc. IEEE Visualization 2000, pages 397–405, 2000.

    Google Scholar 

  2. B. Curless and M. Levoy, “A Volumetric Method for Building Complex Models from Range Images,” SIGGRAPH 96, 1996.

    Google Scholar 

  3. M. Desbrun, M. Meyer, P. Schröder, and A. Barr, “Implicit Fairing of Irregular Meshes using Diffusion and Curvature Flow,” SIGGRAPH 99, pp. 317–324, 1999.

    Google Scholar 

  4. M. Desbrun, M. Meyer, P. Schröder, A. Barr, “Anisotropic Feature-Preserving Denoising of Height Fields and Bivariate Data,” In Proc. Graphics Interface 2000, 2000.

    Google Scholar 

  5. I. Guskov, W. Sweldens, and P. Schröder, “Multiresolution Signal Processing for Meshes,” SIGGRAPH 99, pp. 325–334, 1999.

    Google Scholar 

  6. P. S. Heckbert and M. Garland, “Optimal Triangulation and Quadric—Based Surface Simplification,” J. Comput. Geom.: Theory and Applications, 1999.

    Google Scholar 

  7. L. Kobbelt et al., “Interactive Multi-Resolution Modeling on Arbitrary Meshes,” SIGGRAPH 98, pp. 105–115, 1998.

    Google Scholar 

  8. J. Peng, V. Strela, and D. Zorin, “A Simple Algorithm for Surface Denoising,” In Proc. IEEE Visualization 2001.

    Google Scholar 

  9. W. K. Pratt, Digital Image Processing, 2nd Ed., Wiley, 1991.

    MATH  Google Scholar 

  10. G. Taubin, “A Signal Processing Approach to Fair Surface Design,” SIGGRAPH 95, pp. 351–358, 1995.

    Google Scholar 

  11. J. Vollmer, R. Mend, and H. Muller, “Improved Laplacian Smoothing of Noisy Surface Meshes,” Proc. EURO-GRAPHICS 99, 1999.

    Google Scholar 

  12. W. Welch and A. Witkin, “Free-form Shape Design Using Triangulated Surfaces,” SIGGRAPH 94, pp. 247–256, 1994.

    Google Scholar 

  13. Hao Zhang and Eugene Fiume, “Efficient Mesh Fairing using Butterworth Filters,” submitted, 2001.

    Google Scholar 

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© 2002 Springer-Verlag London

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Zhang, H., Fiume, E. (2002). Mesh smoothing with shape or Feature preservation. In: Vince, J., Earnshaw, R. (eds) Advances in Modelling, Animation and Rendering. Springer, London. https://doi.org/10.1007/978-1-4471-0103-1_11

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  • DOI: https://doi.org/10.1007/978-1-4471-0103-1_11

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-1118-4

  • Online ISBN: 978-1-4471-0103-1

  • eBook Packages: Springer Book Archive

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