Abstract
This paper presents a probabilistic approach for object localization which combines subspace clustering with the selection of discriminative clusters. Clustering is often a key step in object recognition and is penalized by the high dimensionality of the descriptors. Indeed, local descriptors, such as SIFT, which have shown excellent results in recognition, are high-dimensional and live in different low-dimensional subspaces. We therefore use a subspace clustering method called High-Dimensional Data Clustering (HDDC) which overcomes the curse of dimensionality. Furthermore, in many cases only a few of the clusters are useful to discriminate the object. We, thus, evaluate the discriminative capacity of clusters and use it to compute the probability that a local descriptor belongs to the object. Experimental results demonstrate the effectiveness of our probabilistic approach for object localization and show that subspace clustering gives better results compared to standard clustering methods. Furthermore, our approach outperforms existing results for the Pascal 2005 dataset.
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Agarwal, S., Roth, D.: Learning a sparse representation for object detection. In: 7th European Conference on Computer Vision, vol. 4, pp. 113–130 (2002)
Dorko, G., Schmid, C.: Object class recognition using discriminative local features. Technical Report 5497, INRIA (2004)
Leibe, B., Schiele, B.: Interleaved object categorization and segmentation. In: British Machine Vision Conference, Norwich, England (2003)
Willamowski, J., Arregui, D., Csurka, G., Dance, C., Fan, L.: Coategorizing nine visual classes using local appareance descriptors. In: International Workshop on Learning for Adaptable Visual Systems, Cambridge, UK (2004)
Zhang, J., Marszalek, M., Lazebnik, S., Schmid, C.: Local features and kernels for classification of texture and object categories. Technical report, INRIA (2005)
Sivic, J., Russell, B., Efros, A., Zisserman, A., Freeman, W.: Discovering objects and their location in images. In: International Conference on Computer Vision (2005)
Opelt, A., Fussenegger, M., Pinz, A., Auer, P.: Weak hypotheses and boosting for generic object detection and recognition. In: European Conference on Computer Vision, vol. 2, pp. 71–84 (2004)
McLachlan, G., Peel, D.: Finite Mixture Models. Wiley Interscience, New York (2000)
Jolliffe, I.: Principal Component Analysis. Springer, New York (1986)
Schölkopf, B., Smola, A., Müller, K.: Nonlinear component analysis as a kernel eigenvalue problem. Neural Computation 10, 1299–1319 (1998)
Guyon, I., Elisseeff, A.: An introduction to variable and feature selection. Journal of Machine Learning Research 3, 1157–1182 (2003)
Fraley, C., Raftery, A.: Model-based clustering, discriminant analysis and density estimation. Journal of American Statistical Association 97, 611–631 (2002)
Parsons, L., Haque, E., Liu, H.: Subspace clustering for high dimensional data: a review. SIGKDD Explor. Newsl. 6, 90–105 (2004)
Tipping, M., Bishop, C.: Mixtures of probabilistic principal component analysers. Neural Computation 11, 443–482 (1999)
Moghaddam, B.: Principal Manifolds and Probabilistic Subspaces for Visual Recognition. IEEE Trans. on Pattern Analysis and Machine Intelligence 24, 780–788 (2002)
Bouveyron, C., Girard, S., Schmid, C.: High-Dimensional Data Clustering. Technical Report 1083M, LMC-IMAG, Université J. Fourier Grenoble 1 (2006)
Everingham, M., Zisserman, A., Williams, C., Gool, L.V., et al.: The 2005 PASCAL visual object classes challenge. In: First PASCAL Challenge Workshop, Springer, Heidelberg (2006)
Cattell, R.: The scree test for the number of factors. Multivariate Behavioral Research 1, 245–276 (1966)
Mikolajczyk, K., Schmid, C.: Scale and affine invariant interest point detectors. International Journal of Computer Vision 60, 63–86 (2004)
Lowe, D.: Distinctive image features from scale-invariant keypoints. International Journal of Computer Vision 60, 91–110 (2004)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Bouveyron, C., Kannala, J., Schmid, C., Girard, S. (2006). Object Localization by Subspace Clustering of Local Descriptors. In: Kalra, P.K., Peleg, S. (eds) Computer Vision, Graphics and Image Processing. Lecture Notes in Computer Science, vol 4338. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11949619_41
Download citation
DOI: https://doi.org/10.1007/11949619_41
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-68301-8
Online ISBN: 978-3-540-68302-5
eBook Packages: Computer ScienceComputer Science (R0)