Abstract
A simple algorithm is presented in this paper to preserve the feature of the mesh while the mesh is smoothed. In this algorithm, the bilateral filter is modified to incorporate local first-order properties of the mesh to enhance the effectiveness of the filter in preserving features. The smoothing process is error-bounded to avoid over-smoothing the mesh. Several examples are given to demonstrate the effectiveness of this algorithm in preserving the feature while removing noise from the mesh.
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Meyer, M., Desbrun, M., Schröder, P., Barr, A.H.: Discrete differential-geometry operators for triangulated 2-manifolds. Proceeding of Visualization and Mathematics (2002)
Taubin, G.: A signal processing approach to fair surface design. Computer Graphcis, 351–358 (1995)
Desbrun, M., Meyer, M., Schröder, P., Barr, A.H.: Implicit fairing of irregular meshes using diffusion and curvature flow. Computer Graphics, 317–324 (1999)
Peng, J., Strela, V., Zorin, D.: A simple algorithm for surface denoising. IEEE Visualization, 107–112 (2001)
Bajaj, C., Xu, G.: Anisotropic diffusion on surfaces and functions on surfaces. ACM Trans. Graph. 22(1), 4–32 (2003)
Clarenz, U., Diewald, U., Rumpf, M.: Anisotropic geometric diffusion in surface Processing. IEEE Visualization, 397–405 (2000)
Tasdizen, T., Whitaker, R., Burchard, P., Osher, S.: Geometric surface smoothing via anisotropic diffusion of normals. IEEE Visualization, 125–132 (2002)
Taubin, G.: Linear anisotropic mesh filtering. Tech. Rep. IBM Research Report RC 2213
Jones, T.R., Durand, F., Desbrun, M.: Non-iterative, feature-preserving mesh smoothing. ACM Trans. Graph. 22(3), 943–949 (2003)
Fleishman, S., Drori, I., Cohen-Or, D.: Bilateral mesh denoising. ACM Trans. Graph. 22(3), 950–953 (2003)
Guskov, I., Sweldens, W., Schröder, P.: Multiresolution signal processing for meshes. Computer Graphics, 325–334 (1999)
Ohtake, Y., Belyaev, A., Bogaevski, I.: Mesh regularization and adaptive smoothing. Computer-Aided Design 33, 789–800 (2001)
Smith, S., Brady, J.: SUSAN-a new approach to low level image processing. IJCV 23, 45–78 (1997)
Tomasi, C., Manduchi, R.: Bilateral filtering for gray and color images. In: Proc. IEEE Int. Conf. on Computer Vision, pp. 836–846 (1998)
Durand, F., Dorsey, J.: Fast bilateral filtering for the display of high-dynamic-range images. ACM Trans. Graph. 21(3), 257–266
Elad, M.: On the bilateral filter and ways to improve it. IEEE Trans. On Image Processing 11(10), 1141–1151 (2002)
Harris, J.W., Stocker, H.: Handbook of mathematics and computational science. Springer, New York (1998)
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© 2005 Springer-Verlag Berlin Heidelberg
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Li, W., Goh, L.P., Hung, T., Xu, S. (2005). Adaptive Mesh Smoothing for Feature Preservation. In: Gervasi, O., et al. Computational Science and Its Applications – ICCSA 2005. ICCSA 2005. Lecture Notes in Computer Science, vol 3483. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11424925_95
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DOI: https://doi.org/10.1007/11424925_95
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-25863-6
Online ISBN: 978-3-540-32309-9
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