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Bayesian Characterization of Uncertainty in Multi-modal Image Registration

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Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 7359))

Abstract

Understanding and quantifying the uncertainty involved when registering images is an important problem in medical imaging, where clinical decisions are made based on the registered solution. This is especially important in non-rigid registration where the higher degrees of freedom may provide unwarranted confidence in the results, through over-fitting. The Bayesian approach, which defines uncertainty as the posterior distribution on deformations, requires a generative model of the image formation process where the fixed image is modeled as a deformed version of the moving image plus a noise term. As per this model, the likelihood term is equivalent to the sum-of-squared differences image matching metric and is therefore valid only for same-mode image registration. In this paper, we propose a general formalism to quantify Bayesian uncertainty in the registration of multi-modal images through an extended probability model that introduces and then marginalizes out a stochastic transfer function between moving and fixed image intensities.

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References

  1. Brainweb database, http://www.bic.mni.mcgill.ca/brainweb/ 5

  2. Gee, J.C., Bajcsy, R.K.: Elastic matching: Continuum mechanical and probabilistic analysis. In: Brain Warping, p. 183. Academic Press 2

    Google Scholar 

  3. Guimond, A., Roche, A., Ayache, N., Meunier, J.: Three-dimensional multimodal brain warping using the demons algorithm and adaptive intensity corrections. IEEE Trans. Med. Imaging 20(1), 58–69 (2001) 3

    Google Scholar 

  4. Janoos, F., Risholm, P., Wells, W.M.: Robust non-rigid registration and characterization of uncertainty. In: Zhou, K., Duncan, J.S., Ourselin, S. (eds.) Methods in Biomedical Image Analysis (MMBIA), vol. 1 (2012) 2

    Google Scholar 

  5. Risholm, P., Pieper, S., Samset, E., Wells III, W.M.: Summarizing and Visualizing Uncertainty in Non-rigid Registration. In: Jiang, T., Navab, N., Pluim, J.P.W., Viergever, M.A. (eds.) MICCAI 2010, Part II. LNCS, vol. 6362, pp. 554–561. Springer, Heidelberg (2010) 2, 5

    Google Scholar 

  6. Roche, A., Malandain, G., Pennec, X., Ayache, N.: The Correlation Ratio as a New Similarity Measure for Multimodal Image Registration. In: Wells, W.M., Colchester, A.C.F., Delp, S.L. (eds.) MICCAI 1998. LNCS, vol. 1496, pp. 1115–1124. Springer, Heidelberg (1998) 3, 9

    Google Scholar 

  7. Rogelj, P., Kovačič, S., Gee, J.C.: Point similarity measures for non-rigid registration of multi-modal data. Comput. Vis. Image Underst. 92, 112–140 (2003) 3

    Google Scholar 

  8. Silverman, B.: Density Estimation for Statistics and Data Analysis. Chapman & Hall, London (1998) 5

    Google Scholar 

  9. Simpson, I.J., Schnabel, J.A., Groves, A.R., Andersson, J.L., Woolrich, M.W.: Probabilistic inference of regularisation in non-rigid registration. NeuroImage (2011) 2

    Google Scholar 

  10. Zöllei, L., Jenkinson, M., Timoner, S., Wells, W.: A Marginalized MAP Approach and EM Optimization for Pair-Wise Registration. In: Karssemeijer, N., Lelieveldt, B. (eds.) IPMI 2007. LNCS, vol. 4584, pp. 662–674. Springer, Heidelberg (2007) 3

    Google Scholar 

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© 2012 Springer-Verlag Berlin Heidelberg

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Janoos, F., Risholm, P., Wells, W. (2012). Bayesian Characterization of Uncertainty in Multi-modal Image Registration. In: Dawant, B.M., Christensen, G.E., Fitzpatrick, J.M., Rueckert, D. (eds) Biomedical Image Registration. WBIR 2012. Lecture Notes in Computer Science, vol 7359. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31340-0_6

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  • DOI: https://doi.org/10.1007/978-3-642-31340-0_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31339-4

  • Online ISBN: 978-3-642-31340-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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