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The Visual Computer

, Volume 22, Issue 3, pp 168–180 | Cite as

Surface completion for shape and appearance

  • Seyoun ParkEmail author
  • Xiaohu Guo
  • Hayong Shin
  • Hong Qin
original article

Abstract

In this paper, we present a new surface content completion system that can effectively repair both shape and appearance from scanned, incomplete point set inputs. First, geometric holes can be robustly identified from noisy and defective data sets without the need for any normal or orientation information. The geometry and texture information of the holes can then be determined either automatically from the models’ context, or interactively from users’ selection. We use local parameterizations to align patches in order to extract their curvature-driven digital signature. After identifying the patch that most resembles each hole region, the geometry and texture information can be completed by warping the candidate region and gluing it onto the hole area. The displacement vector field for the exact alignment process is computed by solving a Poisson equation with boundary conditions. Our experiments show that the unified framework, founded upon the techniques of deformable models, local parameterization, and PDE modeling, can provide a robust and elegant solution for content completion of defective, complex point surfaces.

Keywords

Hole filling Active contour method Poisson equation 

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References

  1. 1.
    Amenta, N., Bern, M., Kamvysselis, M.: A new Voronoi-based surface reconstruction algorithm. Proc. SIGGRAPH, pp. 415–421 (1998)Google Scholar
  2. 2.
    Bajaj, C.L., Bernardini, F., Xu, G.: Automatic reconstruction of surfaces and scalar fields from 3D scans. Proc. SIGGRAPH, pp. 109–118 (1995)Google Scholar
  3. 3.
    Bernardini, F., Mittleman, J., Rushmeier, H., Silva, C., Taubin, G.: The ball-pivoting algorithm for surface reconstruction. IEEE Trans. Vis. Comput. Graph. 4, 349–359 (1999)Google Scholar
  4. 4.
    Biermann, H., martin, I., Bernardini, F., Zorin, D.: Cut-and-paste editing of multiresolution surfaces. ACM Trans. Graph. 21(3), 312–321 (2002)Google Scholar
  5. 5.
    Carr, J.C., Beatson, R.K., Cherrie, J.B., Mitchell, T.J., Fright, W.R., McCallum, B.C., Evans, T.R.: Reconstruction and representation of 3D objects with radial basis functions. Proc. SIGGRAPH, pp. 67–76 (2001)Google Scholar
  6. 6.
    Clarenz, U., Diewald, U., Dziuk, G., Rumpf, M., Rusu, R.: A finite element method for surface restoration with smooth boundary conditions. Comput. Aided Geom. Des. 5, 427–445 (2004)Google Scholar
  7. 7.
    Davis, J., Marschner, S.R., Garr, M., Levoy, M.: Filling holes in complex surfaces using volumetric diffusion. Proceedings International Symposium on 3D Data Processing, Visualization, and Transmission, Padova, Italy, June 19–21, 2002, pp. 428–438. IEEE Computer Society (2002)Google Scholar
  8. 8.
    Desbrun, M., Meyer, M., Schröder, P., Barr, A.H.: Implicit fairing of irregular meshes using diffusion and curvature flow. Proc. SIGGRAPH, pp. 317–324 (1999)Google Scholar
  9. 9.
    Edelsbrunner, H., Mucke, E.P.: Three-dimensional alpha shapes. ACM Trans. Graph. 13(1), 43–72 (1994)Google Scholar
  10. 10.
    Fu, H., Tai, C., Zhang, H.: Topology-free cut-and-paste editing over meshes. Proceedings: Geometric Modeling and Processing, Beijing, China, April 13–15, 2004, pp. 173–182. IEEE Computer Society (2004)Google Scholar
  11. 11.
    Hoppe, H., DeRose, T., Duchamp, T., McDonald, J., Stuetzle, W.: Surface reconstruction from unorganized points. Proc. SIGGRAPH, pp. 71–78 (1992)Google Scholar
  12. 12.
    Johnson, A.E., Kang, S.B.: Registration and integration of textured 3D data. Proceedings International Conference on Recent Advances in 3D Digital Imaging and Modeling, Ottawa, Canada, May 12–15, 1997, pp. 234–241. IEEE Computer Society (1997)Google Scholar
  13. 13.
    Ju, T.: Robust repair of polygonal models. ACM Trans. Graph. 23(3), 888–895 (2004)Google Scholar
  14. 14.
    Kass, M.A.W., Terzopoulos, D.: Snakes: active contour models. Int. J. Comput. Vis. 1(4), 321–331 (1987)Google Scholar
  15. 15.
    Kraevoy, V., Sheffer, A.: Template-based mesh completion. Proceedings of Eurographics Symposium on Geometry Processing, pp. 13–22 (2005)Google Scholar
  16. 16.
    Masuda, T.: Filling the signed distance field by fitting local quadrics. Proceedings International Symposium on 3D Data Processing, Visualization, and Transmission, pp. 1003–1010 (2004)Google Scholar
  17. 17.
    Mortensen, E.N., Barrett, W.A.: Interactive segmentation with intelligent scissors. Graph. Models 60(5), 349–384 (1998)Google Scholar
  18. 18.
    Levin, D.: The Approximation power of moving least-squares. Mathematics of Computation, 67(224), 1517–1531 (1998)Google Scholar
  19. 19.
    Pauly, M., Mitra, N.J., Giesen, J., Gross, M., Guibas, L.J.: Example-based 3D scan completion. Proceedings Eurographics Symposium on Geometry Processing, pp. 23–32 (2005)Google Scholar
  20. 20.
    Podolak, J., Rusinkiewicz, S.: Atomic volumes for mesh completion. Proceedings Eurographics Symposium on Geometry Processing, pp. 33–41 (2005)Google Scholar
  21. 21.
    Ohtake, Y., Belyaev, A., Alexa, M., Turk, G., Seidel, H.P.: Multi-level partition of unity implicits. ACM Trans. Graph. 22(3), 463–470 (2003)Google Scholar
  22. 22.
    Page, D.L., Koschan, A., Sun, Y., Pail, J., Abidi, M.A.: Robust crease detection and curvature estimation of piecewise smooth surfaces from triangle mesh approximations using normal voting. Proceedings International Conference on Computer Vision and Pattern Recognition, Vol. 1, pp. 162–167 (2001)Google Scholar
  23. 23.
    Perez, P., Gangnet, M., Blake, A.: Poisson image editing. ACM Trans. Graph. 22(3), 313–318 (2003)Google Scholar
  24. 24.
    Sharf, A., Alexa, M., Cohen-Or, D.: Context-based surface completion. ACM Trans. Graph. 23, 878–887 (2004)Google Scholar
  25. 25.
    Savchenko, V., Kojekine, N.: An approach to blend surfaces. Proc. Computer Graphics International, Bradford, UK, July 1–5 (2002)Google Scholar
  26. 26.
    Taubin, G.: Estimating the tensor of curvature of a surface from a polyhedral approximation. Proceedings International Conference on Computer Vision, pp. 902–907 (1995)Google Scholar
  27. 27.
    Verdera, J., Caselles, V., Bertalmío, M., Sapiro, G.: Inpainting surface holes. Proceedings International Conference on Image Processing, Barcelona, Spain, Sept. 14–17, 2003. IEEE Computer Society (2003)Google Scholar
  28. 28.
    Wang, B., Wang, W., Yang, H., Sun, J.: Efficient example-based painting and synthesis of 2d directional texture. IEEE Trans. Vis. Comput. Graph. 10(3), 266–277 (2004)Google Scholar
  29. 29.
    Soler, C., Cani, M.P., Angelidis, A.: Hierarchical pattern mapping. ACM Trans. Graph. 21(3), 673–680 (2002)Google Scholar
  30. 30.
    Whitaker, R.T.: A level-set approach to 3d reconstruction from range data. Int. J. Comput. Vis. 3, 203–231 (1998)Google Scholar
  31. 31.
    Xie, H., McDonnell, K., Qin, H.: Surface reconstruction of noisy and defective data sets. Proc. Visualization, Austin, TX, Oct. 10–15, 2004, pp. 259–266. IEEE Computer Society (2004)Google Scholar
  32. 32.
    Yu, Y., Zhou, K., Xu, D., Shi, X., Bao, H., Guo, B., Shum, H.Y.: Mesh editing with poisson-based gradient field manipulation. ACM Trans. Graph. 23, 644–651 (2004)Google Scholar
  33. 33.
    Zhao, H.K., Osher, S., Fedkiw, R.: Fast surface reconstruction using the level set method. Proceedings IEEE Workshop on Variational and Level Set Methods, p. 194 (2001)Google Scholar
  34. 34.
    Zwicker, M., Pauly, M., Knoll, O., Gross, M.: Pointshop3d: an interactive system for point-based surface editing. Proceedings SIGGRAPH, pp. 322–329 (2002)Google Scholar

Copyright information

© Springer-Verlag 2006

Authors and Affiliations

  • Seyoun Park
    • 1
    Email author
  • Xiaohu Guo
    • 2
  • Hayong Shin
    • 3
  • Hong Qin
    • 2
  1. 1.VMS Lab Dept of Industrial EngineeringKorea Advanced Institute of Science and TechnologyDaejoenSouth Korea
  2. 2.Center of Visual Computing, Dept. of Computer ScienceState University of New York at Stony BrookStony BrookUSA
  3. 3.Dept. of Industrial EngineeringKorea Advanced Institute of Science and TechnologyDaejoenSouth Korea

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