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
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