Abstract
This paper describes a modal method for point-set tracking in motion sequences. The framework for our study is the recently reported dual-step EM algorithm of Cross and Hancock [3]. This provides a statistical framework in which the structural arrangement of the point-sets provides constraints on the pattern of correspondences used to estimate alignment parameters. In this paper our representation of point-set structure is based on the point-adjacency matrix. Using ideas from spectral graph-theory, we show how the eigen-vectors of the point-adjacency matrix can be used to compute point correspondence probabilities. We show that the resulting correspondence matching algorithm can be used to track deforming point-sets detected in motion sequences.
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References
Chung, F.R.K.: Spectral Graph Theory. CBMS series 92, AMS Ed. (1997)
Cootes, T.F., Taylor, C.J., Cooper, D.H., Graham, J.: Active Shape Models - Their Training and Application. Computer Vision, Graphics and Image Understanding 61, 38–59 (1995)
Cross, A.D.J., Hancock, E.R.: Graph matching with a dual step EM algorithm. IEEE PAMI 20, 1236–1253 (1998)
Dempster, A.P., Laird, N.M., Rubin, D.B.: Maximum-likelihood from incomplete data via the EM algorithm. J. Royal Statistical Soc. Ser. B (methodological) 39, 1–38 (1977)
Jordan, M.I., Jacobs, R.A.: Hierarchical mixtures of experts and the EM algorithm. Neural Computation 6, 181–214 (1994)
Sclaroff, S., Pentland, A.P.: Modal Matching for Correspondence and Recognition. IEEE PAMI 17, 545–661 (1995)
Scott, G.L., Longuet-Higgins, H.C.: An algorithm for associating the features of 2 images. In: Proceedings of the Royal Society of London Series B (Biological), vol. 244, pp. 21–26 (1991)
Sengupta, K., Boyer, K.L.: Modelbase partitioning using property matrix spectra. Computer Vision and Image Understanding 70(2), 177–196 (1998)
Shapiro, L.S., Brady, J.M.: Feature-based correspondence - an eigenvector approach. Image and Vision Computing 10, 283–288 (1992)
Shokoufandeh, A., Dickinson, S.J., Siddiqi, K., Zucker, S.W.: Indexing using a spectralen coding of topological structure. In: Proc. of the IEEE Conf. on Computer Vision and Pattern Recognition, pp. 491–497 (1999)
Sossa, H., Horaud, R.: Model indexing: the graph-hashing approach. In: Proc. of the IEEE Conf. on Computer Vision and Pattern Recognition, pp. 811–815 (1992)
Umeyama, S.: An eigen decomposition approach to weighted graph matching problems. IEEE PAMI 10, 695–703 (1988)
Wilson, R.C., Hancock, E.R.: Structural Matching by Discrete Relaxation. IEEE PAMI 19, 634–648 (1997)
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© 2000 Springer-Verlag Berlin Heidelberg
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Carcassoni, M., Hancock, E.R. (2000). Spectral Correspondence for Deformed Point-Set Matching. In: Nagel, HH., Perales López, F.J. (eds) Articulated Motion and Deformable Objects. AMDO 2000. Lecture Notes in Computer Science, vol 1899. Springer, Berlin, Heidelberg. https://doi.org/10.1007/10722604_11
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DOI: https://doi.org/10.1007/10722604_11
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-67912-7
Online ISBN: 978-3-540-44591-3
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