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Online Multibody Factorization Based on Bayesian Principal Component Analysis of Gaussian Mixture Models

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Advances in Neuro-Information Processing (ICONIP 2008)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5506))

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Abstract

An online multibody factorization method for recovering the shape of each object from a sequence of monocular images is proposed. We formulate multibody factorization problem of data matrix of feature positions as the parameter estimation of the mixtures of probabilistic principal component analysis (MPPCA) and use the variational inference method as an estimation algorithm that concurrently performs classification of each feature points and the three-dimensional structures of each object. We also apply the online variational inference method make the algorithm suitable for real-time applications.

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References

  1. Tomasi, C., Kanade, T.: Shape from motion from image streams under orthography: A factorization method. IJCV 9(2), 137–154 (1992)

    Article  Google Scholar 

  2. Costeira, J.P., Kanade, T.: A multibody factorization method for independently moving objects. IJCV 29(3), 159–179 (1998)

    Article  Google Scholar 

  3. Morita, T., Kanade, T.: A sequential factorization method for recovering shape and motion from image streams. PAMI 19(8), 858–867 (1997)

    Article  Google Scholar 

  4. Okatani, T.: A probabilistic approach to linear subspace fitting for computer vision problems. In: CVPR Workshops (2004)

    Google Scholar 

  5. Bishop, C.M.: Variational principal components. In: ICANN, vol. 1, pp. 509–514 (1999)

    Google Scholar 

  6. Tipping, M.E., Bishop, C.M.: Mixtures of probabilistic principal component analysers. Neur. Comp. 11(2), 443–482 (1999)

    Article  Google Scholar 

  7. Bishop, C.M., Winn, J.M.: Non-linear bayesian image modelling. In: Vernon, D. (ed.) ECCV 2000. LNCS, vol. 1842, pp. 3–17. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

  8. Attias, H.: A variational bayesian framework for graphical models. In: NIPS, vol. 12, pp. 206–212 (2000)

    Google Scholar 

  9. Sato, M.: Online model selection based on the variational bayes. Neur. Comp. 13, 1649–1681 (2001)

    Article  MATH  Google Scholar 

  10. Tipping, M.E., Bishop, C.M.: Probabilistic component analysis. Journal of the Royal Statistical Society Series B 61, Part 3, 611–622 (1999)

    Google Scholar 

  11. Oba, S., Sato, M., Takemasa, I., Monden, M., Matsubara, K., Ishii, S.: A bayesian missing value estimation method for gene expression profile data. Bioinformatics 19(16), 2088–2096 (2003)

    Article  Google Scholar 

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Hitomi, K., Bando, T., Fukaya, N., Ikeda, K., Shibata, T. (2009). Online Multibody Factorization Based on Bayesian Principal Component Analysis of Gaussian Mixture Models. In: Köppen, M., Kasabov, N., Coghill, G. (eds) Advances in Neuro-Information Processing. ICONIP 2008. Lecture Notes in Computer Science, vol 5506. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02490-0_83

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  • DOI: https://doi.org/10.1007/978-3-642-02490-0_83

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-02489-4

  • Online ISBN: 978-3-642-02490-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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