Incorporation of a deformation prior in image reconstruction

Barbara Gris (1, 2, 3)

1 LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions
2 CNRS - Centre National de la Recherche Scientifique
3 CaGE - Control And GEometry

This article presents a method to incorporate a deformation prior in image reconstruction via the formalism of deformation modules. The framework of deformation modules allows to build diffeomorphic deformations that satisfy a given structure. The idea is to register a template image against the indirectly observed data via a modular deformation, incorporating this way the deformation prior in the reconstruction method. We show that this is a well-defined regularization method (proving existence, stability and convergence) and present numerical examples of reconstruction from 2-D tomographic simulations and partially-observed images.

Domaines: Traitement du signal et de l'image [eess.SP]; Imagerie médicale; Mathématiques [math]

Barbara Gris. Incorporation of a deformation prior in image reconstruction. Journal of Mathematical Imaging and Vision, 2019. ⟨hal-01810443⟩