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Similarity-based denoising of point-sampled surfaces

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Abstract

A non-local denoising (NLD) algorithm for point-sampled surfaces (PSSs) is presented based on similarities, including geometry intensity and features of sample points. By using the trilateral filtering operator, the differential signal of each sample point is determined and called “geometry intensity”. Based on covariance analysis, a regular grid of geometry intensity of a sample point is constructed, and the geometry-intensity similarity of two points is measured according to their grids. Based on mean shift clustering, the PSSs are clustered in terms of the local geometry-features similarity. The smoothed geometry intensity, i.e., offset distance, of the sample point is estimated according to the two similarities. Using the resulting intensity, the noise component from PSSs is finally removed by adjusting the position of each sample point along its own normal direction. Experimental results demonstrate that the algorithm is robust and can produce a more accurate denoising result while having better feature preservation.

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References

  • Amenta, N., Kil, Y.J., 2004. Defining point set surfaces. ACM Trans. on Graph., 23(3):264–270. [doi:10.1145/1015706.1015713]

    Article  Google Scholar 

  • Buades, A., Coll, B., Morel, J.M., 2005. A Non-Local Algorithm for Image Denoising. Proc. IEEE Computer Society Int. Conf. on Computer Vision and Pattern Recognition, p.60–65. [doi:10.1109/CVPR.2005.38]

  • Carr, J.C., Beatson, R.K., Cherrie, J.B., Mitchell, T.J., Fright, W.R., McCallum, B.C., Evans, T.R., 2001. Reconstruction and Representation of 3D Objects with Radial Basis Functions. Proc. ACM SIGGRAPH, p.67–76. [doi:10.1145/383259.383266]

  • Choudhury, P., Tumblin, J., 2003. The Trilateral Filter for High Contrast Images and Meshes. Int. Conf. on Computer Graphics and Interactive Techniques, p.186–196. [doi:10.1145/1198555.1198565]

  • Clarenz, U., Rumpf, M., Telea, A., 2004. Fairing of Point Based Surfaces. Proc. Computer Graphics International, p.600–603. [doi:10.1109/CGI.2004.1309272]

  • Comaniciu, D., Meer, P., 2002. Mean shift: a robust approach toward feature space analysis. IEEE Trans. on Pattern Anal. Machine Intell., 24(5):603–619. [doi:10.1109/34.1000236]

    Article  Google Scholar 

  • Daniels II, J., Ha, L.K., Ochotta, T., Silva, C.T., 2007. Robust Smooth Feature Extraction from Point Clouds. Proc. Shape Modeling International, p.123–136. [doi:10.1109/SMI.2007.32]

  • Dey, T.K., Sun, J., 2005. An Adaptive MLS Surface for Reconstruction with Guarantees. Proc. Symp. on Geometry Processing, p.43–52.

  • Fleishman, S., Drori, I., Cohen-Or, D., 2003. Bilateral mesh denoising. ACM Trans. on Graph., 22(3):950–953. [doi:10.1145/882262.882368]

    Article  Google Scholar 

  • Georgescu, B., Shimshoni, I., Meer, P., 2003. Mean Shift Based Clustering in High Dimensions: A Texture Classification Example. ICCV, p.456–463.

  • Hoppe, H., DeRose, T., Duchamp, T., McDonald, J., Stuetzle, W., 1992. Surface Reconstruction from Unorganized Points. Proc. 19th Annual Conf. on Computer Graphics and Interactive Techniques, p.71–78. [doi:10.1145/133994.134011]

  • Hu, G.F., Peng, Q.S., Forrest, A.R., 2006. Mean shift denoising of point-sampled surfaces. The Visual Computer, 22(3):147–157. [doi:10.1007/s00371-006-0372-0]

    Article  Google Scholar 

  • Jenke, P., Wand, M., Bokeloh, M., Schilling, A., Strasser, W., 2006. Bayesian point cloud reconstruction. Computer Graphics Forum, 25(3):379–388. [doi:10.1111/j.1467-8659.2006.00957.x]

    Article  Google Scholar 

  • Lange, C., Polthier, K., 2005. Anisotropic smoothing of point sets. Computer Aided Geometric Design, 22(7):680–692. [doi:10.1016/j.cagd.2005.06.010]

    Article  MathSciNet  MATH  Google Scholar 

  • Lipman, Y., Cohen-Or, D., Levin, D., 2006. Error Bounds and Optimal Neighborhoods for MLS Approximation. Proc. Eurographics, p.71–80. [doi:10.2312/SGP/SGP06/071-080]

  • Mederos, B., Velho, L., de Figueiredo, L.H., 2003. Robust Smoothing of Noisy Point Clouds. Proc. SIAM Conf. on Geometric Design and Computing, p.1–13.

  • Pauly, M., Gross, M., 2001. Spectral Processing of Point-Sampled Geometry. Proc. ACM SIGGRAPH, p.379–386. [doi:10.1145/383259.383301]

  • Pauly, M., Gross, M., Kobbelt, L.P., 2002a. Efficient Simplification of Point-Sampled Surfaces. Proc. IEEE Visualization, p.163–170.

  • Pauly, M., Kobbelt, L.P., Gross, M., 2002b. Multiresolution Modeling of Point-Sampled Geometry. Technical Report, CS #379, ETH, Zurich.

    Google Scholar 

  • Pauly, M., Keiser, R., Kobblet, L.P., Gross, M., 2003. Shape modeling with point-sampled geometry. ACM Trans. on Graph., 22(3):641–650. [doi:10.1145/882262.882319]

    Article  Google Scholar 

  • Pauly, M., Mitra, N.J., Guibas, L.J., 2004. Uncertainty and Variability in Point Cloud Surface Data. Proc. Eurographics Symp. on Point-Based Graphics, p.77–84.

  • Samozino, M., Alexa, M., Alliez, P., Yvinec, M., 2006. Reconstruction with Voronoi Centered Radial Basis Functions. Proc. Eurographics, p.51–60. [doi:10.2312/SGP/SGP06/051-060]

  • Schall, O., Belyaev, A., Seidel, H.P., 2005. Robust Filtering of Noisy Scattered Point Data. Eurographics Symp. on Point-Based Graphics, p.71–77. [doi:10.2312/SPBG/SPBG05/071-077]

  • Shamir, A., Shapira, L., Cohen-Or, D., 2006. Mesh analysis using geodesic mean-shift. The Visual Computer, 22(2):99–108. [doi:10.1007/s00371-006-0370-2]

    Article  Google Scholar 

  • Weyrich, T., Pauly, M., Keiser, R., Heinzle, S., Scandella, S., Gross, M., 2004. Post-processing of Scanned 3D Surface Data. Proc. Eurographics, p.85–94.

  • Xiao, C.X., Miao, Y.W., Liu, S., Peng, Q.S., 2006. A dynamic balanced flow for filtering point-sampled geometry. The Visual Computer, 22(3):210–219. [doi:10.1007/s00371-006-0377-8]

    Article  Google Scholar 

  • Yamauchi, H., Lee, S., Lee, Y., Ohtake, Y., Belyaev, A., Seidel, H.P., 2005. Feature Sensitive Mesh Segmentation with Mean Shift. Proc. Shape Modeling International, p.236–243. [doi:10.1109/SMI.2005.21]

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Correspondence to San-yuan Zhang.

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Project supported by the Hi-Tech Research and Development Program (863) of China (Nos. 2007AA01Z311 and 2007AA04Z1A5), and the Research Fund for the Doctoral Program of Higher Education of China (No. 20060335114)

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Wang, Rf., Chen, Wz., Zhang, Sy. et al. Similarity-based denoising of point-sampled surfaces. J. Zhejiang Univ. Sci. A 9, 807–815 (2008). https://doi.org/10.1631/jzus.A071465

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  • DOI: https://doi.org/10.1631/jzus.A071465

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