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Dense Registration with Deformation Priors

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Information Processing in Medical Imaging (IPMI 2009)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 5636))

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Abstract

In this paper we propose a novel approach to define task-driven regularization constraints in deformable image registration using learned deformation priors. Our method consists of representing deformation through a set of control points and an interpolation strategy. Then, using a training set of images and the corresponding deformations we seek for a weakly connected graph on the control points where edges define the prior knowledge on the deformation. This graph is obtained using a clustering technique which models the co-dependencies between the displacements of the control points. The resulting classification is used to encode regularization constraints through connections between cluster centers and cluster elements. Additionally, the global structure of the deformation is encoded through a fully connected graph on the cluster centers. Then, registration of a new pair of images consists of displacing the set of control points where on top of conventional image correspondence costs, we introduce costs that are based on the relative deformation of two control points with respect to the learned deformation. The resulting paradigm is implemented using a discrete Markov Random Field which is optimized using efficient linear programming. Promising experimental results on synthetic and real data demonstrate the potential of our approach.

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References

  1. Fleet, D., Weiss, Y.: Optical Flow Estimation. In: Handbook of Mathematical Models in Computer Vision, pp. 239–256. Springer, Heidelberg (2006)

    Google Scholar 

  2. Hajnal, J., Hill, D.L.G., Hawkes, D.J. (eds.): Medical Image Registration. CRC Press, Boca Raton (2001)

    Google Scholar 

  3. Horn, B., Schunck, B.: Determining optical flow. Artificial Intelligence 17, 185–204 (1981)

    Article  Google Scholar 

  4. Bruhn, A., Weickert, J., Schnörr, C.: Lucas/kanade meets horn/schunck: Combining local and global optic flow methods. International Journal of Computer Vision (IJCV) 61(3) (2005)

    Google Scholar 

  5. Viola, P., Wells, W.M.: Alignment by maximization of mutual information. International Journal of Computer Vision (IJCV) 24(2), 137–154 (1997)

    Article  Google Scholar 

  6. Glocker, B., Komodakis, N., Paragios, N., Tziritas, G., Navab, N.: Inter and intra-modal deformable registration: Continuous deformations meet efficient optimal linear programming. In: Karssemeijer, N., Lelieveldt, B. (eds.) IPMI 2007. LNCS, vol. 4584, pp. 408–420. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  7. Tikhonov, A.: Ill-posed problems in natural sciences, Coronet (1992)

    Google Scholar 

  8. Cootes, T.F., Taylor, C.J., Cooper, D.H., Graham, J.: Active shape models — their training and application. Computer Vision and Image Understanding (CVIU) 61(1), 38–59 (1995)

    Article  Google Scholar 

  9. Black, M.J., Anandan, P.: The robust estimation of multiple motions: parametric and piecewise-smooth flow fields. Computer Vision and Image Understanding (CVIU) 63(1), 75–104 (1996)

    Article  Google Scholar 

  10. Geman, S., Geman, D.: Stochastic relaxation, gibbs distributions, and the bayesian restoration of images. IEEE Transactions on Pattern Recognition and Machine Learning (PAMI) 6 (1984)

    Google Scholar 

  11. Sederberg, T.W., Parry, S.R.: Free-form deformation of solid geometric models. In: SIGGRAPH. ACM Press, New York (1986)

    Google Scholar 

  12. Rueckert, D., Sonoda, L., Hayes, C., Hill, D., Leach, M., Hawkes, D.: Nonrigid registration using free-form deformations: application to breast MR images. IEEE Transactions on Medical Imaging (TMI) 18(8), 712–721 (1999)

    Article  Google Scholar 

  13. Komodakis, N., Paragios, N., Tziritas, G.: Clustering via lp-based stabilities. In: Neural Information Processing Systems (NIPS) (2008)

    Google Scholar 

  14. Kullback, S.: Information Theory and Statistics. Dover Publications Inc., New York (1968)

    MATH  Google Scholar 

  15. Bhattacharyya, A.: On a measure of divergence between two statistical populations defined by probability distributions. Bull. Calcutta Math. Soc. 35, 99–109 (1943)

    MathSciNet  MATH  Google Scholar 

  16. Olsen, P., Hershey, J.: Bhattacharyya error and divergence using variational importance sampling. In: Interspeech, Antwerp, Belgium (August 2007)

    Google Scholar 

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

    MATH  Google Scholar 

  18. Glocker, B., Komodakis, N., Tziritas, G., Navab, N., Paragios, N.: Dense image registration through mrfs and efficient linear programming. Medical Image Analysis 12(6) (2008)

    Google Scholar 

  19. Li, S.Z.: Markov random field modeling in image analysis. Springer, Heidelberg (2001)

    Book  MATH  Google Scholar 

  20. Komodakis, N., Tziritas, G., Paragios, N.: Fast, approximately optimal solutions for single and dynamic mrfs. In: Computer Vision and Pattern Recognition (CVPR) (2007)

    Google Scholar 

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Glocker, B., Komodakis, N., Navab, N., Tziritas, G., Paragios, N. (2009). Dense Registration with Deformation Priors. In: Prince, J.L., Pham, D.L., Myers, K.J. (eds) Information Processing in Medical Imaging. IPMI 2009. Lecture Notes in Computer Science, vol 5636. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02498-6_45

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  • DOI: https://doi.org/10.1007/978-3-642-02498-6_45

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-02497-9

  • Online ISBN: 978-3-642-02498-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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