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Geometry and Computational Anatomy

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On geodesic completeness for Riemannian metrics on smooth probability densities

Author(s): Martin Bauer, Sarang Joshi, Klas Modin
Published in: Calculus of Variations and Partial Differential Equations, Issue 56/4, 2017, ISSN 0944-2669
DOI: 10.1007/s00526-017-1195-8

Diffeomorphic Density Matching by Optimal Information Transport

Author(s): Martin Bauer, Sarang Joshi, Klas Modin
Published in: SIAM Journal on Imaging Sciences, Issue 8/3, 2015, Page(s) 1718-1751, ISSN 1936-4954
DOI: 10.1137/151006238

Symmetry reduction for central force problems

Author(s): Robert I McLachlan, Klas Modin, Olivier Verdier
Published in: European Journal of Physics, Issue 37/5, 2016, Page(s) 055003, ISSN 0143-0807
DOI: 10.1088/0143-0807/37/5/055003

Currents and finite elements as tools for shape space

Author(s): J. Benn, S. Marsland, R. McLachlan, K. Modin, O. Verdier
Published in: Preprint (currently under peer-review), 2017

Discrete Variational Derivative Methods for the EPDiff Equation

Author(s): S. Larsson, T. Matsuo, K. Modin, M. Molteni
Published in: Preprint (currently inder peer-review), 2016

Weighted Diffeomorphic Density Matching with Applications to Thoracic Image Registration

Author(s): Martin Bauer, Sarang Joshi, and Klas Modin
Published in: Proc. 5th MICCAI Workshop on Mathematical Foundations of Computational Anatomy (MFCA), 2015

Diffeomorphic random sampling using optimal information transport

Author(s): M. Bauer, S. Joshi, K. Modin
Published in: 3rd conference on Geometric Science of Information (GSI2017), 2017