Abstract
Among the various approaches of content-based image modeling, generative models have become prominent due to their ability of approximating feature distributions with arbitrary accuracy. A frequently encountered generative model for the purpose of content-based image retrieval is the Gaussian mixture model which facilitates the application of various dissimilarity measures. The question of which dissimilarity measure provides the highest retrieval performance in terms of accuracy and efficiency is still an open research question. In this paper, we propose an empirical investigation of dissimilarity measures for Gaussian mixture models based on high-dimensional local feature descriptors. To this end, we include a unifying overview of state-of-the-art dissimilarity measures applicable to Gaussian mixture models along with an extensive performance analysis on a multitude of local feature descriptors. Our findings will help to guide further research in the field of content-based image modeling with Gaussian mixture models.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Beecks, C.: Distance-based similarity models for content-based multimedia retrieval. PhD thesis, RWTH Aachen University (2013)
Beecks, C., Ivanescu, A.M., Kirchhoff, S., Seidl, T.: Modeling image similarity by gaussian mixture models and the signature quadratic form distance. In: Proc. of the IEEE Int. Conf. on Computer Vision, pp. 1754–1761 (2011)
Beecks, C., Ivanescu, A.M., Kirchhoff, S., Seidl, T.: Modeling multimedia contents through probabilistic feature signatures. In: Proc. of the ACM Int. Conf. on Multimedia, pp. 1433–1436 (2011)
Beecks, C., Kirchhoff, S., Seidl, T.: Signature matching distance for content-based image retrieval. In: Proc. of the ACM Int. Conf. on Multimedia Retrieval, pp. 41–48 (2013)
Beecks, C., Uysal, M.S., Seidl, T.: Signature quadratic form distance. In: Proc. of the ACM Int. Conf. on Image and Video Retrieval, pp. 438–445 (2010)
Casella, G., Berger, R.: Statistical Inference. Duxbury Press (2001)
Dempster, A.P., Laird, N.M., Rubin, D.B.: Maximum likelihood from incomplete data via the em algorithm. Journal of the Royal Statistical Society. Series B (Methodological) 39(1), 1–38 (1977)
Fasshauer, G.E.: Positive definite kernels: past, present and future. Dolomites Research Notes on Approximation 4, 21–63 (2011)
Goldberger, J., Gordon, S., Greenspan, H.: An efficient image similarity measure based on approximations of kl-divergence between two gaussian mixtures. In: Proc. of the IEEE Int. Conf. on Computer Vision, pp. 487–493 (2003)
Hall, M., Frank, E., Holmes, G., Pfahringer, B., Reutemann, P., Witten, I.H.: The weka data mining software: an update. ACM SIGKDD Explorations Newsletter 11(1), 10–18 (2009)
Hausdorff, F.: Grundzüge der Mengenlehre. Von Veit (1914)
Hershey, J., Olsen, P.: Approximating the kullback leibler divergence between gaussian mixture models. In: Proc. of the IEEE Int. Conf. on Acoustics, Speech and Signal Processing, vol. 4, pp. 317–320 (2007)
Huo, Q., Li, W.: A dtw-based dissimilarity measure for left-to-right hidden markov models and its application to word confusability analysis. In: Int. Conf. on Spoken Language Processing, pp. 2338–2341 (2006)
Jegou, H., Douze, M., Schmid, C.: Hamming embedding and weak geometric consistency for large scale image search. In: Forsyth, D., Torr, P., Zisserman, A. (eds.) ECCV 2008, Part I. LNCS, vol. 5302, pp. 304–317. Springer, Heidelberg (2008)
Jeong, S., Won, C.S., Gray, R.M.: An adaptive color image retrieval framework using gauss mixtures. In: Proc. of the IEEE Int. Conf. on Image Processing, pp. 945–948 (2008)
Julier, S., Uhlmann, J.: A general method for approximating nonlinear transformations of probability distributions. Robotics Research Group, Department of Engineering Science, University of Oxford, Tech. Rep (1996)
Kullback, S., Leibler, R.A.: On information and sufficiency. The Annals of Mathematical Statistics 22(1), 79–86 (1951)
Lowe, D.G.: Distinctive image features from scale-invariant keypoints. International Journal of Computer Vision 60(2), 91–110 (2004)
Łuszczkiewicz-Piątek, M.: Which color space should be chosen for robust color image retrieval based on mixture modeling. In: Choras, R.S. (ed.) Image Processing and Communications Challenges 5. AISC, vol. 233, pp. 55–64. Springer, Heidelberg (2014)
Mikolajczyk, K., Schmid, C.: Scale & affine invariant interest point detectors. International Journal of Computer Vision 60(1), 63–86 (2004)
Mikolajczyk, K., Schmid, C.: A performance evaluation of local descriptors. IEEE TPAMI 27(10), 1615–1630 (2005)
Park, B.G., Lee, K.M., Lee, S.U.: Color-based image retrieval using perceptually modified hausdorff distance. EURASIP Journal of Image and Video Processing, 4:1–4:10 (2008)
Permuter, H.H., Francos, J.M., Jermyn, I.H.: Gaussian mixture models of texture and colour for image database retrieval. In: Proc. of the IEEE Int. Conf. on Acoustics, Speech and Signal Processing, pp. 569–572 (2003)
Rubner, Y., Tomasi, C., Guibas, L.J.: The earth mover’s distance as a metric for image retrieval. International Journal of Computer Vision 40(2), 99–121 (2000)
Sivic, J., Zisserman, A.: Video google: A text retrieval approach to object matching in videos. In: Proc. of the IEEE Int. Conf. on Computer Vision, pp. 1470–1477 (2003)
van de Sande, K.E.A., Gevers, T., Snoek, C.G.M.: Evaluating color descriptors for object and scene recognition. IEEE TPAMI 32(9), 1582–1596 (2010)
Vasconcelos, N.: On the complexity of probabilistic image retrieval. In: Proc. of the IEEE Int. Conf. on Computer Vision, pp. 400–407 (2001)
Xing, X., Zhang, Y., Gong, B.: Mixture model based contextual image retrieval. In: Proc. of the ACM Int. Conf. on Image and Video Retrieval, pp. 251–258 (2010)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this paper
Cite this paper
Beecks, C., Uysal, M.S., Seidl, T. (2015). Content-Based Image Retrieval with Gaussian Mixture Models. In: He, X., Luo, S., Tao, D., Xu, C., Yang, J., Hasan, M.A. (eds) MultiMedia Modeling. MMM 2015. Lecture Notes in Computer Science, vol 8935. Springer, Cham. https://doi.org/10.1007/978-3-319-14445-0_26
Download citation
DOI: https://doi.org/10.1007/978-3-319-14445-0_26
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-14444-3
Online ISBN: 978-3-319-14445-0
eBook Packages: Computer ScienceComputer Science (R0)