Abstract
Pairwise data clustering techniques are gaining increasing popularity over traditional, feature-based central grouping techniques. These approaches have proven very powerful when applied to image-segmentation problems. However, they are computationally too demanding to be applied to video-segmentaton problems due to their scaling behavior with the quantity of data. On a dataset containing N examples, the number of potential comparisons scales with O(N 2), thereby rendering the approaches unfeasible for problems involving very large data sets. It is therefore of primary importance to develop strategies to reduce the number of comparisons required by subsampling the data and extending the grouping to out-of-sample points after the clustering process has taken place. In this paper we present an approach to out-of-sample clustering based on the dominant set framework [10] and apply it to video segmentation. The method is compared against two recent pairwise clustering algorithms which provide out-of-sample extensions: the Nyström method [3], and the minimal-shift embedding approach [14]. Our results show that our approach performs comparably against the competition in terms of quality of the segmentation, being, however, much faster.
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Bengio, Y., Paiement, J.-F., Vincent, P., Delalleau, O., Le Roux, N., Ouimet, M.: Out-of-sample extensions for LLE, isomap, MDS, eigenmaps, and spectral clustering. In: Advances in Neural Information Processing Systems, vol. 16. MIT Press, Cambridge (2004)
Fischer, B., Buhmann, J.M.: Path-based clustering for grouping of smooth curves and texture segmentation. IEEE Trans. Pattern Anal. Machine Intell. 25(4), 513–518 (2003)
Fowlkes, C., Belongie, S., Chun, F., Malik, J.: Spectral grouping using the Nyström method. IEEE Trans. Pattern Anal. Machine Intell. 26, 214–225 (2004)
Hamid, R., et al.: Detection and explanation of anomalous activities: representing activities as bags of event n-grams. In: CVPR 2005 (2005) (to appear)
Hofmann, T., Buhmann, J.M.: Pairwise data clustering by deterministic annealing. IEEE Trans. Pattern Anal. Machine Intell. 19, 1–14 (1997)
Luenberger, D.: Linear and nonlinear programming. Addison-Wesley, Reading (1984)
Mailk, J., Belongie, S., Leung, T., Shi, J.: Contour and texture analysis for image segmentation. Int. J. of Computer Vision 43(1), 7–27 (2001)
Motzkin, T.S., Straus, E.G.: Maxima for graphs and a new proof of a theorem of Turán. Canad. J. Math. 17, 533–540 (1965)
Ng, A.Y., Jordan, M.I., Weiss, Y.: On spectral clustering: Analysis and an algorithm. In: Advances in Neural Information Processing Systems, vol. 14, pp. 849–856. MIT Press, Cambridge (2002)
Pavan, M., Pelillo, M.: A new graph-theoretic approach to clustering and segmentation. In: Proc. IEEE Conf. Computer Vision and Pattern Recognition, pp. 145–152 (2003)
Pavan, M., Pelillo, M.: Unsupervised texture segmentation by dominant sets and game dynamics. In: Proc. 12th Int. Conf. on Image Analysis and Processing, pp. 302–307 (2003)
Pavan, M., Pelillo, M.: Efficient out-of-sample extension of dominant-set clusters. In: Advances in Neural Information Processing Systems, vol. 17, pp. 1057–1064. MIT Press, Cambridge (2005)
Perona, P., Freeman, W.: A factorization approach to grouping. In: Burkhardt, H.-J., Neumann, B. (eds.) ECCV 1998. LNCS, vol. 1406, pp. 655–670. Springer, Heidelberg (1998)
Roth, V., Laub, J., Kawanabe, M., Buhmann, J.M.: Optimal cluster preserving embedding of nonmetric proximity data. IEEE Trans. Pattern Anal. Machine Intell. 25, 1540–1551 (2003)
Sarkar, S., Boyer, K.: Quantitative measures of change based on feature organization: Eigenvalues and eigenvectors. Computer Vision and Image Understanding 71, 110–136 (1998)
Shi, J., Malik, J.: Normalized cuts and image segmentation. IEEE Trans. Pattern Anal. Machine Intell. 22, 888–905 (2000)
Weibull, J.W.: Evolutionary game theory. MIT Press, Cambridge (1995)
Weiss, Y.: Segmentation using eigenvectors: A unifying view. In: Proc. 7th Int. Conf. on Computer Vision, pp. 975–982 (1999)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2005 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Torsello, A., Pavan, M., Pelillo, M. (2005). Spatio-temporal Segmentation Using Dominant Sets. In: Rangarajan, A., Vemuri, B., Yuille, A.L. (eds) Energy Minimization Methods in Computer Vision and Pattern Recognition. EMMCVPR 2005. Lecture Notes in Computer Science, vol 3757. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11585978_20
Download citation
DOI: https://doi.org/10.1007/11585978_20
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-30287-2
Online ISBN: 978-3-540-32098-2
eBook Packages: Computer ScienceComputer Science (R0)