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.
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References
Triggs, B., McLauchlan, P., Hartley, R., Fitzgibbon, A.: Bundle adjustment – a modern synthesis. Vision algorithms: Theory and Practice, 153–177 (2000)
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)
Lempitsky, V., Boykov, Y.: Global optimization for shape fitting. In: IEEE Conference on Computer Vision and Pattern Recognition, CVPR 2007, pp. 1–8 (2007)
Furukawa, Y., Ponce, J.: Accurate, dense, and robust multiview stereopsis. IEEE Transactions on Pattern Analysis and Machine Intelligence 32, 1362–1376 (2010)
Lhuillier, M., Quan, L.: Match propogation for image-based modeling and rendering. IEEE Trans. Pattern Anal. Mach. Intell. 24, 1140–1146 (2002)
Hartley, R., Zisserman, A.: Multiple view geometry in computer vision, vol. 2. Cambridge Univ. Press (2000)
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)
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)
Fua, P.: Regularized bundle-adjustment to model heads from image sequences without calibration data. International Journal of Computer Vision 38, 153–171 (2000)
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)
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)
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)
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)
Fleishman, S., Drori, I., Cohen-Or, D.: Bilateral mesh denoising. ACM Transactions on Graphics (TOG) 22, 950–953 (2003)
Jones, T.R., Durand, F., Desbrun, M.: Non-iterative, feature-preserving mesh smoothing. ACM Transactions on Graphics (TOG) 22, 943–949 (2003)
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)
Schall, O., Belyaev, A., Seidel, H.: Robust filtering of noisy scattered point data. In: IEEE Eurographics/IEEE VGTC Symposium Proceedings, pp. 71–144 (2005)
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)
Nocedal, J., Wright, S.J.: Numerical optimization. Springer (1999)
Hoppe, H., DeRose, T., Duchamp, T., McDonald, J., Stuetzle, W.: Surface reconstruction from unorganized points. SIGGRAPH Comput. Graph. 26, 71–78 (1992)
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)
Luenberger, D.G., Ye, Y.: Linear and nonlinear programming, vol. 116. Springer (2008)
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)
Blender, http://www.blender.org
Heckbert, P.S., Garland, M.: Optimal triangulation and quadric-based surface simplification. Comput. Geom. Theory Appl. 14(1-3), 49–65 (1999)
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Liu, K., Zayer, R. (2012). Bundle Adjustment Constrained Smoothing for Multi-view Point Cloud Data. In: Bebis, G., et al. Advances in Visual Computing. ISVC 2012. Lecture Notes in Computer Science, vol 7431. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33179-4_13
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DOI: https://doi.org/10.1007/978-3-642-33179-4_13
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