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arXiv · 1609.04043

Elastic image registration with exact mass preservation

Jarosław Wlazło·Robert Feßler·René Pinnau·Norbert Siedow·Oliver Tse
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Abstract

We establish a new framework for image registration, which is based on linear elasticity and optimal mass transportation theory. We combine these two arguments in order to obtain a PDE constrained optimization problem that is analytically investigated and further discretized with the finite difference method and solved by an inexact SQP algorithm. This requires to solve in each step a large sparse linear system, which has a saddle point form. Motivated by stability arguments we use a fully staggered grid for the discretization of the displacement vector field. Artificial and real world examples are presented to underline the numerical robustness of the method.

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Jarosław Wlazło, Robert Feßler, René Pinnau, Norbert Siedow, Oliver Tse. 2016-09-13. Elastic image registration with exact mass preservation. https://arxiv.org/abs/1609.04043

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