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Bundle Adjustment Constrained Smoothing for Multi-view Point Cloud Data

  • Kun Liu
  • Rhaleb Zayer
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7431)

Abstract

Direct use of denoising and mesh reconstruction algorithms on point clouds originating from multi-view images is often oblivious to the reprojection error. This can be a severe limitation in applications which require accurate point tracking, e.g., metrology.

In this paper, we propose a method for improving the quality of such data without forfeiting the original matches. We formulate the problem as a robust smoothness cost function constrained by a bounded reprojection error. The arising optimization problem is addressed as a sequence of unconstrained optimization problems by virtue of the barrier method. Substantiated experiments on synthetic and acquired data compare our approach to alternative techniques.

Keywords

Point Cloud Point Cloud Data Bundle Adjustment Visual Hull Reprojection Error 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Triggs, B., McLauchlan, P., Hartley, R., Fitzgibbon, A.: Bundle adjustment – a modern synthesis. Vision algorithms: Theory and Practice, 153–177 (2000)Google Scholar
  2. 2.
    Kazhdan, M., Bolitho, M., Hoppe, H.: Poisson surface reconstruction. In: Proceedings of the Fourth Eurographics Symposium on Geometry Processing, SGP 2006. Eurographics Association, pp. 61–70 (2006)Google Scholar
  3. 3.
    Lempitsky, V., Boykov, Y.: Global optimization for shape fitting. In: IEEE Conference on Computer Vision and Pattern Recognition, CVPR 2007, pp. 1–8 (2007)Google Scholar
  4. 4.
    Furukawa, Y., Ponce, J.: Accurate, dense, and robust multiview stereopsis. IEEE Transactions on Pattern Analysis and Machine Intelligence 32, 1362–1376 (2010)CrossRefGoogle Scholar
  5. 5.
    Lhuillier, M., Quan, L.: Match propogation for image-based modeling and rendering. IEEE Trans. Pattern Anal. Mach. Intell. 24, 1140–1146 (2002)CrossRefGoogle Scholar
  6. 6.
    Hartley, R., Zisserman, A.: Multiple view geometry in computer vision, vol. 2. Cambridge Univ. Press (2000)Google Scholar
  7. 7.
    Seitz, S.M., Curless, B., Diebel, J., Scharstein, D., Szeliski, R.: A comparison and evaluation of multi-view stereo reconstruction algorithms. In: Proceedings of the 2006 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, CVPR 2006, pp. 519–528 (2006)Google Scholar
  8. 8.
    Fua, P.: Using model-driven bundle-adjustment to model heads from raw video sequences. In: The Proceedings of the Seventh IEEE International Conference on Computer Vision, vol. 1, pp. 46–53 (1999)Google Scholar
  9. 9.
    Fua, P.: Regularized bundle-adjustment to model heads from image sequences without calibration data. International Journal of Computer Vision 38, 153–171 (2000)zbMATHCrossRefGoogle Scholar
  10. 10.
    Kume, H., Taketomi, T., Sato, T., Yokoya, N.: Extrinsic camera parameter estimation using video images and gps considering gps positioning accuracy. In: Proceedings of the 2010 20th International Conference on Pattern Recognition, ICPR 2010, pp. 3923–3926. IEEE Computer Society (2010)Google Scholar
  11. 11.
    Lhuillier, M.: Fusion of gps and structure-from-motion using constrained bundle adjustments. In: 2011 IEEE Conference on Computer Vision and Pattern Recognition, CVPR, pp. 3025–3032. IEEE (2011)Google Scholar
  12. 12.
    Taubin, G.: A signal processing approach to fair surface design. In: Proceedings of the 22nd Annual Conference on Computer Graphics and Interactive Techniques, pp. 351–358. ACM (1995)Google Scholar
  13. 13.
    Desbrun, M., Meyer, M., Schröder, P., Barr, A.: Implicit fairing of irregular meshes using diffusion and curvature flow. In: Proceedings of the 26th Annual Conference on Computer Graphics and Interactive Techniques, pp. 317–324 (1999)Google Scholar
  14. 14.
    Fleishman, S., Drori, I., Cohen-Or, D.: Bilateral mesh denoising. ACM Transactions on Graphics (TOG) 22, 950–953 (2003)CrossRefGoogle Scholar
  15. 15.
    Jones, T.R., Durand, F., Desbrun, M.: Non-iterative, feature-preserving mesh smoothing. ACM Transactions on Graphics (TOG) 22, 943–949 (2003)CrossRefGoogle Scholar
  16. 16.
    Weyrich, T., Pauly, M., Keiser, R., Heinzle, S., Scandella, S., Gross, M.: Post-processing of scanned 3d surface data. In: Symposium on Point-Based Graphics, vol. 1 (2004)Google Scholar
  17. 17.
    Schall, O., Belyaev, A., Seidel, H.: Robust filtering of noisy scattered point data. In: IEEE Eurographics/IEEE VGTC Symposium Proceedings, pp. 71–144 (2005)Google Scholar
  18. 18.
    Ferrari, V., Tuytelaars, T., Van Gool, L.: Simultaneous Object Recognition and Segmentation by Image Exploration. In: Pajdla, T., Matas, J(G.) (eds.) ECCV 2004. LNCS, vol. 3021, pp. 40–54. Springer, Heidelberg (2004)CrossRefGoogle Scholar
  19. 19.
    Nocedal, J., Wright, S.J.: Numerical optimization. Springer (1999)Google Scholar
  20. 20.
    Hoppe, H., DeRose, T., Duchamp, T., McDonald, J., Stuetzle, W.: Surface reconstruction from unorganized points. SIGGRAPH Comput. Graph. 26, 71–78 (1992)CrossRefGoogle Scholar
  21. 21.
    Avron, H., Sharf, A., Greif, C., Cohen-Or, D.: ł1-sparse reconstruction of sharp point set surfaces. ACM Transactions on Graphics (TOG) 29, 135:1–135:12 (2010)CrossRefGoogle Scholar
  22. 22.
    Luenberger, D.G., Ye, Y.: Linear and nonlinear programming, vol. 116. Springer (2008)Google Scholar
  23. 23.
    Press, W.H., Teukolsky, S.A., Vetterling, W.T., Flannery, B.P.: Numerical Recipes: The Art of Scientific Computing, 3rd edn. Cambridge University Press (2007)Google Scholar
  24. 24.
  25. 25.
    Heckbert, P.S., Garland, M.: Optimal triangulation and quadric-based surface simplification. Comput. Geom. Theory Appl. 14(1-3), 49–65 (1999)MathSciNetzbMATHCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Kun Liu
    • 1
  • Rhaleb Zayer
    • 1
  1. 1.InriaVillers-lès-NancyFrance

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