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A Global Criterion for the Computation of Statistical Shape Model Parameters Based on Correspondence Probabilities

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Bildverarbeitung für die Medizin 2008

Part of the book series: Informatik aktuell ((INFORMAT))

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Abstract

A fundamental problem when building a statistical shape model (SSM) is the correspondence problem. We present an approach for unstructured point sets where one-to-one correspondences are replaced by correspondence probabilities between shapes which are determined using the Expectation Maximization - Iterative Closest Points registration. We propose a unified MAP framework to compute the model parameters which leads to an optimal adaption of the model to the observations. The optimization of the MAP explanation with respect to the observation and the generative model parameters leads to very efficient and closed-form solutions for (almost) all parameters. Experimental results on synthetic data and brain structures as well as a performance comparison with a statistical shape model built on one-to-one correspondences show the efficiency and advantages of this approach.

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© 2008 Springer-Verlag Berlin Heidelberg

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Hufnagel, H., Pennec, X., Ehrhardt, J., Ayache, N., Handels, H. (2008). A Global Criterion for the Computation of Statistical Shape Model Parameters Based on Correspondence Probabilities. In: Tolxdorff, T., Braun, J., Deserno, T.M., Horsch, A., Handels, H., Meinzer, HP. (eds) Bildverarbeitung für die Medizin 2008. Informatik aktuell. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-78640-5_56

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