Multiple Shape Registration using Constrained Optimal Control
Optimization and Control
2015-03-04 v1
Abstract
Lagrangian particle formulations of the large deformation diffeomorphic metric mapping algorithm (LDDMM) only allow for the study of a single shape. In this paper, we introduce and discuss both a theoretical and practical setting for the simultaneous study of multiple shapes that are either stitched to one another or slide along a submanifold. The method is described within the optimal control formalism, and optimality conditions are given, together with the equations that are needed to implement augmented Lagrangian methods. Experimental results are provided for stitched and sliding surfaces.
Cite
@article{arxiv.1503.00758,
title = {Multiple Shape Registration using Constrained Optimal Control},
author = {Sylvain Arguillère and Emmanuel Trélat and Alain Trouvé and Laurent Younes},
journal= {arXiv preprint arXiv:1503.00758},
year = {2015}
}