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A Variational Bayes Approach to Image Segmentation

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Book cover Advances in Brain, Vision, and Artificial Intelligence (BVAI 2007)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 4729))

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Abstract

In this note we will discuss how image segmentation can be handled by using Bayesian learning and inference. In particular variational techniques relying on free energy minimization will be introduced. It will be shown how to embed a spatial diffusion process on segmentation labels within the Variational Bayes learning procedure so to enforce spatial constraints among labels.

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References

  1. Helmholtz, H.: Physiological Optics: The Perception of Vision, Optical Society of America, Rochester, NY, vol. III (1925)

    Google Scholar 

  2. Kording, K., Wolpert, D.: Bayesian decision theory in sensorimotor control. Trends in Cognitive Sciences 10(7) (July 2006)

    Google Scholar 

  3. Chater, N., Tenenbaum, J., Yuille, A.: Probabilistic models of cognition: Conceptual foundations. Trends in Cognitive Sciences 10(7), 287–291 (2006)

    Article  Google Scholar 

  4. Frey, B., Jojic, N.: A comparison of algorithms for inference and learning in probabilistic graphical models. IEEE Trans. on Pattern Analysis and Machine Intelligence 27, 1392–1416 (2005)

    Article  Google Scholar 

  5. MacKay, D.J.C.: Information Theory, Inference & Learning Algorithms. Cambridge University Press, Cambridge, UK (2002)

    Google Scholar 

  6. Bishop, C.M.: Pattern Recognition and Machine Learning. Springer, Heidelberg (2006)

    MATH  Google Scholar 

  7. Lucchese, L., Mitra, S.K.: Color image segmentation: A state-of-the-art survey. In: INSA-A. Proc. Indian National Science Academy, vol. 67, pp. 207–221 (March 2001)

    Google Scholar 

  8. Nasios, N., Bors, A.G.: Variational learning for gaussian mixture models. IEEE Trans. on System, Man, and Cybernetics-B 36(4), 849–862 (2006)

    Article  Google Scholar 

  9. Forsyth, D., Ponce, J.: Computer Vision: A Modern Approach. Prentice Hall International, Englewood Cliffs (2002)

    Google Scholar 

  10. Zhang, Y., Brady, M., Smith, S.: Segmentation of Brain MR Images Through a Hidden Markov Random Field Model and the Expectation-Maximization Algorithm. IEEE Trans. on Medical Imaging 20, 45–57 (2001)

    Article  Google Scholar 

  11. Gopal, S.S., Hebert, T.: Bayesian pixel classification using spatially variant finite mixtures and the Generalized EM algorithm. IEEE Trans. on Image Processing 7, 1014–1028 (1998)

    Article  Google Scholar 

  12. Weickert, J.: Applications of nonlinear diffusion in image processing and computer vision. Acta Math. Univ. Comenianae 70, 33–50 (2001)

    MATH  MathSciNet  Google Scholar 

  13. Penny, W.: Variational bayes for d-dimensional gaussian mixture models. Technical report, Wellcome Department of Cognitive Neurology, University College, London, UK (2001)

    Google Scholar 

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Francesco Mele Giuliana Ramella Silvia Santillo Francesco Ventriglia

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© 2007 Springer-Verlag Berlin Heidelberg

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Boccignone, G., Ferraro, M., Napoletano, P. (2007). A Variational Bayes Approach to Image Segmentation. In: Mele, F., Ramella, G., Santillo, S., Ventriglia, F. (eds) Advances in Brain, Vision, and Artificial Intelligence. BVAI 2007. Lecture Notes in Computer Science, vol 4729. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75555-5_22

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  • DOI: https://doi.org/10.1007/978-3-540-75555-5_22

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-75554-8

  • Online ISBN: 978-3-540-75555-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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