Abstract
In this paper, we introduce the Cauchy-Schwarz divergence (CSD) in the context of texture retrieval. First, we model wavelet coefficients histograms using the already existing mixture of generalized Gaussians (MoGG) distribution. Then, we propose the CSD as a similarity measure between two MoGGs. As there is no closed-form of CSD, we compute this measure by a Monte-Carlo sampling method. Thanks to its tractable mathematical expression, CSD becomes computationally less expensive in contrast with Kullback-Leibler divergence (KLD). This later often needs other approximations with good sampling strategies or using bounding methods to avoid the heavy sampling process. Through the conducted experiments on two popular databases VisTeX and Brodatz, a retrieval rate of 98% is achieved.
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References
Mit vision and modelling group. texture database available at: http://vismod.media.mit.edu/vismod/imagery/visiontexture/vistex.html
Texture database available at: http://www.ux.uis.no/tranden/brodatz.html
Allili, M.: Wavelet modeling using finite mixtures of generalized gaussian distributions: Application to texture discrimination and retrieval. IEEE Transactions on Image Processing 21(4), 1452–1464 (2012)
Allili, M.S., Bouguila, N., Ziou, D.: Finite general gaussian mixture modeling and application to image and video foreground segmentation. Journal of Electronic Imaging 17(1), 013005–013005 (2008)
Choy, S.K., Tong, C.S.: Statistical wavelet subband characterization based on generalized gamma density and its application in texture retrieval. IEEE Transactions on Image Processing 19(2), 281–289 (2010)
Daubechies, I., et al.: Ten lectures on wavelets, vol. 61. SIAM (1992)
Do, M.N., Vetterli, M.: Wavelet-based texture retrieval using generalized gaussian density and kullback-leibler distance. IEEE Transactions on Image Processing 11(2), 146–158 (2002)
Goldberger, J., Gordon, S., Greenspan, H.: An efficient image similarity measure based on approximations of kl-divergence between two gaussian mixtures. In: Proceedings of Ninth IEEE International Conference on Computer Vision, vol. 1, pp. 487–493 (October 2003)
Hershey, J.R., Olsen, P.A.: Approximating the kullback leibler divergence between gaussian mixture models. In: IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2007, vol. 4, pp. IV-317–IV-320 (April 2007)
Jenssen, R., Principe, J.C., Erdogmus, D., Eltoft, T.: The cauchy schwarz divergence and parzen windowing: Connections to graph theory and mercer kernels. Journal of the Franklin Institute 343(6), 614–629 (2006)
Christensen, M.G., Holdt, S., Jensen, J.J.H., Ellis, D.P.W.: Evaluation distance measures between gaussian mixture models of mfccs. In: ISMIR 2007: Proceedings of the 8th International Conference on Music Information Retrieval, Vienna, Austria, September 23-27. Austrian Computer Society (2007)
Julier, S.J., Uhlmann, J.K.: A general method for approximating nonlinear transformations of probability distributions. Technical report, Technical report, Robotics Research Group, Department of Engineering Science, University of Oxford (1996)
Kampa, K., Hasanbelliu, E., Principe, J.C.: Closed-form cauchy-schwarz pdf divergence for mixture of gaussians. In: The 2011 International Joint Conference on Neural Networks (IJCNN), pp. 2578–2585. IEEE (2011)
Kwitt, R., Uhl, A.: Lightweight probabilistic texture retrieval. IEEE Transactions on Image Processing 19(1), 241–253 (2010)
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Rami, H., El Maliani, A.D., El Hassouni, M., Aboutajdine, D. (2014). Texture Retrieval Using Cauchy-Schwarz Divergence and Generalized Gaussian Mixtures. In: Bebis, G., et al. Advances in Visual Computing. ISVC 2014. Lecture Notes in Computer Science, vol 8888. Springer, Cham. https://doi.org/10.1007/978-3-319-14364-4_11
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DOI: https://doi.org/10.1007/978-3-319-14364-4_11
Publisher Name: Springer, Cham
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