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Multi-spectral probabilistic diffusion using bayesian classification

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1252))

Abstract

This paper proposes a diffusion scheme for multi-spectral images which incorporates both spatial derivatives and feature-space classification. A variety of conductance terms are suggested that use the posterior probability maps and their spatial derivatives to create resistive boundaries that reflect objectness rather than intensity differences alone. A theoretical test case is discussed as well as simulated and real magnetic resonance dual echo images. We compare the method for both supervised and unsupervised classification.

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References

  1. Witkin, A.P.: Scale space filtering. In: Proc. of IJCAI, Karlsruhe, (1983), 1019–1021.

    Google Scholar 

  2. Simmons, A., Arridge, S.R., Barker, G.J., Tofts, P.S.: Segmentation of neu-roanatomy in magnetic resonance images. In: Medical Imaging VI: Image Processing, (Ed: M.H.Loew), SPIE-1652 (1992) 2–13

    Google Scholar 

  3. Niessen, W.J., Vincken, K.L., Viergever, M.A.: Comparison of multiscale representations for a linking-based image segmentation model. In: Proc. MMBIA'96 (1996) 263–272

    Google Scholar 

  4. Alvarez, L., Morel, J.-M.: Morphological approach to multiscale analysis: from principles to equations. In: Geometry-Drive Diffusion in Computer Vision, (ed: B.M. ter Harr Romeney) Kluwer: Dordrecht (1994) 229–254

    Google Scholar 

  5. Perona, P., Malik, J. Scale-space and edge-detection using anisotropic diffusion. IEEE Transactions PAMI 12(7) (1990) 629–639.

    Google Scholar 

  6. Catté, F., Lions, P.-L., Morel, J.-M., Coll T.: Image selective smoothing and edge detection by nonlinear diffusion. SIAM J. Num. Anal. 29(1) (1992) 182–193

    Google Scholar 

  7. Whitaker, R.T.: Geometry Limited Diffusion. PhD thesis, University of North Carolina at Chapel Hill, North Carolina 27599-3175 (1993)

    Google Scholar 

  8. Whitaker, R.T., Pizer, S.M.: A multi-scale approach to nonuniform diffusion. Computer Vision, Graphics, and Image Processing: Image Understanding 57(1) (1993) 99–110.

    Google Scholar 

  9. Udupa, J.K., Samaraseka, S.: Fuzzy connectedness and object definition: theory, algorithms, and applications in image segmentation. Graphical Models and Image Processing 58(3) (1996), 246–261

    Google Scholar 

  10. Yoo, S.T., Coggins, J.M.: Using statistical pattern recognition techniques to control variable conductance diffusion. In: Proc. 13th Intnl. Conf. on Information Processing in Medical Imaging, (eds: H.H. Barrett and A.F. Gmitro), Lecture Notes in Computer Science 687, (Springer-Verlag: Berlin) (1993) 459–471

    Google Scholar 

  11. Yoo, S.T.: Image geometry through multiscale statistics. PhD thesis, University of North Carolina at Chapel Hill, North Carolina (1996)

    Google Scholar 

  12. Gerig, G., Kübler, Kikinis, R., Jolesz, F.A.: Nonlinear anisotropic filtering of MRI data. IEEE Transactions MI. 11(2) (1992) 221–232

    Google Scholar 

  13. Bezdek, J.C., Hall, L.O., Clarke, L.P.: Review of MR image segmentation techniques using pattern recognition. Med. Phys. 20(4) (1993) 1033–1048

    Google Scholar 

  14. Simmons, A., Arridge, S.R., Barker, G.J., Williams S.C.R.: Simulation of MRI Cluster Plots and Application to Neurological Segmentation. Magnetic Resonance Imaging 14(1) (1996) 73–92

    Google Scholar 

  15. Fukunaga, K.: Introduction to statistical pattern recognition. San Diego: Academic Press Inc. 14(1) (1990)

    Google Scholar 

  16. Saint-Marc, P., Chen, J.-R.: Adaptive smoothing: a general tool for early vision IEEE Transactions PAMI 13(6) (1991) 514–528

    Google Scholar 

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Bart ter Haar Romeny Luc Florack Jan Koenderink Max Viergever

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© 1997 Springer-Verlag Berlin Heidelberg

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Arridge, S.R., Simmons, A. (1997). Multi-spectral probabilistic diffusion using bayesian classification. In: ter Haar Romeny, B., Florack, L., Koenderink, J., Viergever, M. (eds) Scale-Space Theory in Computer Vision. Scale-Space 1997. Lecture Notes in Computer Science, vol 1252. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-63167-4_53

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  • DOI: https://doi.org/10.1007/3-540-63167-4_53

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63167-5

  • Online ISBN: 978-3-540-69196-9

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