Abstract
In this paper, we analyze two conceptionally different approaches for shape matching: the well-known iterated closest point (ICP) algorithm and variational shape registration via level sets. For the latter, we suggest to use a numerical scheme which was introduced in the context of optic flow estimation. For the comparison, we focus on the application of shape matching in the context of pose estimation of 3-D objects by means of their silhouettes in stereo camera views. It turns out that both methods have their specific shortcomings. With the possibility of the pose estimation framework to combine correspondences from two different methods, we show that such a combination improves the stability and convergence behavior of the pose estimation algorithm.
We gratefully acknowledge funding by the DFG project CR250/1 and the Max-Planck Center for visual computing and communication.
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References
Bergevin, R., Soucy, M., Gagnon, H., Laurendeau, D.: Towards a general multi-view registration technique. IEEE Transactions on Pattern Analysis and Machine Intelligence 18(8), 540–547 (1996)
Besl, P., McKay, N.: A method for registration of 3D shapes. IEEE Transactions on Pattern Analysis and Machine Intelligence 12, 239–256 (1992)
Blum, H.: A transformation for extracting new descriptors of shape. In: Wathen-Dunn, W. (ed.) Models for the Perception of Speech and Visual Form, pp. 362–380. MIT Press, Cambridge (1967)
Brockett, R.W., Maragos, P.: Evolution equations for continuous-scale morphology. In: Proc. IEEE International Conference on Acoustics, Speech and Signal Processing, San Francisco, CA, vol. 3, pp. 125–128 (March 1992)
Brox, T., Bruhn, A., Papenberg, N., Weickert, J.: High accuracy optical flow estimation based on a theory for warping. In: Pajdla, T., Matas, J(G.) (eds.) ECCV 2004. LNCS, vol. 3024, pp. 25–36. Springer, Heidelberg (2004)
Brox, T., Rosenhahn, B., Weickert, J.: Three-dimensional shape knowledge for joint image segmentation and pose estimation. In: Kropatsch, W.G., Sablatnig, R., Hanbury, A. (eds.) DAGM 2005. LNCS, vol. 3663, pp. 109–116. Springer, Heidelberg (2005)
Chetverikov, D., Stepanov, D., Krsek, P.: Robust Euclidean alignment of 3D point sets: The trimmed iterative closest point algorithm. Image and Vision Computing 23(3), 299–309 (2005)
Cremers, D., Soatto, S.: A pseudo distance for shape priors in level set segmentation. In: Faugeras, O., Paragios, N. (eds.) Proc. 2nd IEEE Intl. Workshop on Variational, Geometric and Level Set Methods (VLSM), pp. 169–176 (2003)
Cremers, D., Sochen, N., Schnörr, C.: Multiphase dynamic labeling for variational recognition-driven image segmentation. In: Pajdla, T., Matas, J(G.) (eds.) ECCV 2004. LNCS, vol. 3024, pp. 74–86. Springer, Heidelberg (2004)
Dervieux, A., Thomasset, F.: A finite element method for the simulation of Rayleigh–Taylor instability. In: Rautman, R. (ed.) Approximation Methods for Navier–Stokes Problems. Lecture Notes in Mathematics, vol. 771, pp. 145–158. Springer, Berlin (1979)
Feldmar, J., Ayache, N.: Rigid, affine and locally affine registration of free-form surfaces. International Journal of Computer Vision 18, 99–119 (1996)
Felzenszwalb, P.F., Huttenlocher, D.P.: Distance transforms of sampled functions. Technical Report TR2004-1963, Computer Science Department, Cornell University (September 2004)
Johnson, A.E., Kang, S.B.: Registration and integration of textured 3-D data. In: Proc. International Conference on Recent Advances in 3-D Digital Imaging and Modeling, pp. 234–241. IEEE Computer Society, Los Alamitos (1997)
Latecki, L.J., Lakämper, R.: Shape similarity measure based on correspondence of visual parts. IEEE Transactions on Pattern Analysis and Machine Intelligence 22(10), 1185–1190 (2000)
Leventon, M.E., Grimson, W.E.L., Faugeras, O.: Statistical shape influence in geodesic active contours. In: Proc. 2000 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR), Hilton Head, SC, June 2000, vol. 1, pp. 316–323 (2000)
Osher, S., Sethian, J.A.: Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton–Jacobi formulations. Journal of Computational Physics 79, 12–49 (1988)
Paragios, N., Rousson, M., Ramesh, V.: Distance transforms for non-rigid registration. Computer Vision and Image Understanding 23, 142–165 (2003)
Pennec, X., Thirion, J.: A framework for uncertainty and validation of 3D registration methods based on points and frames. International Journal of Computer Vision 25(3), 203–229 (1997)
Riklin-Raviv, T., Kiryati, N., Sochen, N.: Unlevel-sets: geometry and prior-based segmentation. In: Pajdla, T., Matas, J(G.) (eds.) ECCV 2004. LNCS, vol. 3024, pp. 50–61. Springer, Heidelberg (2004)
Rosenhahn, B.: Pose Estimation Revisited. PhD thesis, University of Kiel, Germany (September 2003)
Rosenhahn, B., Sommer, G.: Pose estimation of free-form objects. In: Pajdla, T., Matas, J(G.) (eds.) ECCV 2004. LNCS, vol. 3021, pp. 414–427. Springer, Heidelberg (2004)
Rusinkiewicz, S., Levoy, M.: Efficient variants of the ICP algorithm. In: Proc. 3rd Intl. Conf. on 3-D Digital Imaging and Modeling, pp. 224–231 (2001)
Siddiqi, K., Shokoufandeh, A., Dickinson, S., Zucker, S.: Shock graphs and shape matching. International Journal of Computer Vision 35, 13–32 (1999)
Veltkamp, R., Hagedoorn, M.: State-of-the-art in shape matching. Technical Report UU-CS-1999-27, Utrecht University (September 1999)
Zhang, Z.: Iterative points matching for registration of free form curves and surfaces. International Journal of Computer Vision 13(2), 119–152 (1994)
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Rosenhahn, B., Brox, T., Cremers, D., Seidel, HP. (2006). A Comparison of Shape Matching Methods for Contour Based Pose Estimation. In: Reulke, R., Eckardt, U., Flach, B., Knauer, U., Polthier, K. (eds) Combinatorial Image Analysis. IWCIA 2006. Lecture Notes in Computer Science, vol 4040. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11774938_21
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DOI: https://doi.org/10.1007/11774938_21
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