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Metamorphic image registration using a semi-Lagrangian scheme

Abstract : In this paper, we propose an implementation of both Large Deformation Diffeomorphic Metric Mapping (LDDMM) and Metamorphosis image registration using a semi-Lagrangian scheme for geodesic shooting. We propose to solve both problems as an inexact matching providing a single and unifying cost function. We demonstrate that for image registration the use of a semi-Lagrangian scheme is more stable than a standard Eulerian scheme. Our GPU implementation is based on PyTorch, which greatly simplifies and accelerates the computations thanks to its powerful automatic differentiation engine. It will be freely available at https://github.com/antonfrancois/Demeter metamorphosis.
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https://hal.archives-ouvertes.fr/hal-03225754
Contributor : Anton François <>
Submitted on : Thursday, May 13, 2021 - 12:28:00 AM
Last modification on : Thursday, June 17, 2021 - 11:37:51 AM
Long-term archiving on: : Saturday, August 14, 2021 - 6:02:36 PM

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  • HAL Id : hal-03225754, version 1

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Anton François, Pietro Gori, Joan Glaunès. Metamorphic image registration using a semi-Lagrangian scheme. GSI2021 - Geometric Science of Information, Jul 2021, Paris, France. ⟨hal-03225754⟩

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