Skip to main content
Log in

Nonuniform bilateral filtering for point sets and surface attributes

  • Original Article
  • Published:
The Visual Computer Aims and scope Submit manuscript

Abstract

With the proliferation of three-dimensional (3D) scanning tools and the popularity of point sets in geometry processing and rendering, there is a need for developing smoothing techniques for the point sets and surface attributes defined at these points. In this paper, we present a nonuniform bilateral filtering (NBF) method for point sets and surface attributes based on local geometry feature. In order to adapt the algorithm to irregular sampling, local sampling density is introduced to traditional bilateral filtering, and a global approach for volume preservation is proposed. Experiments show that our approach is stable, effective and easy to use.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Alexa, M., Behr, J., Cohen-Or, D., Fleishman, S., Levin, D., Silva, C.T.: Point set surfaces. In: Proceeding of the Conference on Visualization, pp. 21–28. IEEE Computer Society, San Diego, CA (2001)

    Google Scholar 

  2. Amenta, N., Choi, S., Kolluri, R.K.: The power crust. In: Proceedings of the Sixth ACM Symposium on Solid Modeling and Applications, pp. 249–266. ACM Press, New York, NY (2001)

    Chapter  Google Scholar 

  3. Bajaj, C.L., Xu, G.: Anisotropic diffusion of surfaces and functions on surfaces. ACM Trans. Graph. (TOG) 22(1), 4–32 (2003)

    Article  Google Scholar 

  4. Choudhury, P., Tumblin J.: The trilateral filter for high contrast images and meshes. In: Proceedings of the 14th Eurographics Workshop on Rendering, pp. 186–196. ACM Press, New York, NY (2003)

    Google Scholar 

  5. Clarenz, U., Diewald, U., Rumpf, M.: Anisotropic geometric diffusion in surface processing. In: Proceedings of the Conference on Visualization, pp. 397–405. IEEE Computer Society Press, Los Alamitos, CA (2000)

    Google Scholar 

  6. Clarenz, U., Rumpf, M., Telea, A.: Finite elements on point based surfaces. In: Proceedings of Symposium on Point-Based Graphics, pp. 201–211. The Eurographics Association (2004)

  7. Comaniciu, D., Meer, P.: Mean shift: a robust approach toward feature space analysis. IEEE Trans. Pattern Anal. Mach. Intell. 24(5), 603–619 (2002)

    Article  Google Scholar 

  8. Desbrun, M., Meyer, M., Schroer, P., Barr, A.: Implicit fairing of irregular meshes using diffusion and curvature flow. In: Proceedings of ACM SIGGRAPH 1999, pp. 317–324. ACM Press/Addison-Wesley Publishing, New York, NY (1999)

    Google Scholar 

  9. Duguet, F.: Robust Higher-Order Filtering of Points. INRIA Technical Report, http://www-sop.inria.fr/reves/publications/ (2004)

  10. Fleishman, S., Cohen-Or, D., Silva, C.T.: Robust moving least-squares fitting with sharp features. In: Proceedings of ACM SIGGRAPH 2005, pp. 544–552. ACM Press, New York, NY (2005)

    Chapter  Google Scholar 

  11. Fleishman, S., Drori, I., Cohen-Or, D.: Bilateral mesh denoising. In: Proceedings of ACM SIGGRAPH 2003, pp. 950–953. ACM Press, New York, NY (2003)

    Chapter  Google Scholar 

  12. Hildebrandt, K., Polthier, K.: Anisotropic filtering of non-linear surface features. Comput. Graph. Forum 23(3), 391–400 (2004)

    Article  Google Scholar 

  13. Hu, G., Peng, Q., Forrest, A.R.: Mean shift denoising of point-sampled surfaces. Visual Comput. 22(3), 147–157 (2006)

    Article  Google Scholar 

  14. Jones, T.R., Durand, F., Desbrun, M.: Non-iterative, feature-preserving mesh smoothing. In: Proceedings of ACM SIGGRAPH 2003, pp. 943–949. ACM Press, New York, NY (2003)

    Chapter  Google Scholar 

  15. Lange, C., Polthier, K.: Anisotropic smoothing of point sets. Comput. Aided Geom. Des. 22(7), 680–692 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  16. Mitra, N.J., Nguyen, A.: Estimating surface normals in noisy point cloud data. In: Proceedings of the Nineteenth Annual Symposium on Computational Geometry, pp. 322–328. ACM Press, New York, NY (2003)

    Chapter  Google Scholar 

  17. Pauly, M., Gross, M., Kobbelt, L.: Efficient simplification of point-sampled surfaces. In: Proceedings of IEEE Visualization 02, pp. 163–170. IEEE Computer Society (2002)

  18. Pauly, M., Kobbelt, L., Gross, M.: Multiresolution modeling of point-sampled geometry. ETH Zurich Technical Report, http://www.agg.ethz.ch/publications/technical (2002)

  19. Pauly, M., Kobbelt, L.P., Gross, M.: Point-based multi-scale surface representation. ACM Trans. Graph. 25(2), 177–193 (2006)

    Article  Google Scholar 

  20. Schall, O., Belyaev, A., Seidel, H.P.: Robust filtering of noisy scattered point data. In: Eurographics Symposium on Point-Based Graphics, pp. 71–77. Stony Brook, New York, USA, Eurographics Association (2005)

  21. Taubin, G.: A signal processing approach to fair surface design. In: Proceedings of ACM SIGGRAPH 1995, pp. 351–358. ACM Press, New York, NY (1995)

    Google Scholar 

  22. Tomasi, C., Manduchi, R.: Bilateral filtering for gray and color images. In: Proceedings of the Sixth International Conference on Computer Vision, pp. 839–846. Narosa Publishing House, Bombay (1998)

    Google Scholar 

  23. Yang, Y.L., Lai, Y.K., Hu, S.M., Pottmann, H.: Robust principal curvatures on multiple scales. In: Eurographics Symposium on Geometry Processing. AK Peters (2006)

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hongxing Qin.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Qin, H., Yang, J. & Zhu, Y. Nonuniform bilateral filtering for point sets and surface attributes. TVC 24, 1067–1074 (2008). https://doi.org/10.1007/s00371-007-0206-8

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00371-007-0206-8

Keywords

Navigation