Direct LDDMM of Discrete Currents with Adaptive Finite Elements
- 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.
Author: | Andreas Günther, Hans LameckerORCiD, Martin WeiserORCiD |
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Editor: | X. Pennec, S. Joshi, M. Nielsen |
Document Type: | In Collection |
Parent Title (English): | Proceedings of the Third International Workshop on Mathematical Foundations of Computational Anatomy - Geometrical and Statistical Methods for Modelling Biological Shape Variability |
First Page: | 1 |
Last Page: | 14 |
Year of first publication: | 2011 |
Preprint: | urn:nbn:de:0297-zib-13090 |