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Statistical computing on manifolds and data assimilation: from medical images to anatomical and physiological models

Lecturer : Hervé Delingette et Xavier Pennec (INRIA Sophia-Antipolis)

Objective of the course :

The course focuses on advanced statistical and mechanical modeling techniques for computational anatomy and physiology. We detail the foundations of statistical and mechanical modeling and we show how these models can be coupled with observations (medical images). The long term goal of this type of techniques is to arrive to a personalized in-silico medicine.

Topics :

    •  Medical image acquisition, segmentation and registration
    •  Mechanical modeling and simulation
    •  Data assimilation methods for physiological modeling
    •  Statistics on Riemannian manifolds and Lie groups
    •  Manifold-valued image processing
    • Diffeomorphic transformations for image registration
    • Statistics on deformations for computational anatomy

      Prerequisites :

      NA

      Organization of courses :

      • 7 Cours at Ecole Centrale Paris on Friday afternoon from 13h45 to 17h00.

      Validation :

      Article presentations + mini exam.

        References :

          • Nicholas Ayache, Olivier Clatz, Hervé Delingette, Grégoire Malandain, Xavier Pennec, and Maxime Sermesant. Vers un patient numérique personnalisé pour le diagnostic et la thérapie guidés par l'image. Médecine / Sciences, 27:208-213, March 2011.
          • Nicholas Ayache, Hervé Delingette, and Maxime Sermesant. The personalized digital heart. Bulletin de l'Académie Nationale de Médecine, 195(8):1855-1868, 2011.
          • Xavier Pennec, Pierre Fillard, and Nicholas Ayache. A Riemannian Framework for Tensor Computing. International Journal of Computer Vision, 66(1):41-66, January 2006.
          • Tom Vercauteren, Xavier Pennec, Aymeric Perchant, and Nicholas Ayache. Diffeomorphic Demons: Efficient Non-parametric Image Registration. NeuroImage, 45(1, Supp.1):S61-S72, March 2009.
          • X. Pennec. Statistical computing on manifolds: from Riemannian geometry to computational anatomy. In Frank Nielsen, editor, Emerging Trends in Visual Computing, volume 5416 of LNCS, pages 347-386.

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