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Direct LDDMM of Discrete Currents with Adaptive Finite Elements

Abstract : We consider Large Deformation Diffeomorphic Metric Mapping of general m-currents. After stating an optimization algorithm in the function space of admissable morph generating velocity fields, two innovative aspects in this framework are presented and numerically investigated: First, we spatially discretize the velocity field with conforming adaptive finite elements and discuss advantages of this new approach. Second, we directly compute the temporal evolution of discrete m-current attributes. BOOKTITLE = Proceedings of the Third International Workshop on Mathematical Foundations of Computational Anatomy - Geometrical and Statistical Methods for Modelling Biological Shape Variability
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https://hal.inria.fr/inria-00623815
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Submitted on : Thursday, September 15, 2011 - 11:01:16 AM
Last modification on : Thursday, May 3, 2018 - 4:34:10 PM

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Andreas Günther, Hans Lamecker, Martin Weiser. Direct LDDMM of Discrete Currents with Adaptive Finite Elements. Proceedings of the Third International Workshop on Mathematical Foundations of Computational Anatomy - Geometrical and Statistical Methods for Modelling Biological Shape Variability, Sep 2011, Toronto, Canada. pp.1-14. ⟨inria-00623815⟩

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