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Journal Articles Inverse Problems Year : 2020

Image reconstruction through metamorphosis

Abstract

This article adapts the framework of metamorphosis to the resolution of inverse problems with shape prior. The metamorphosis framework allows to transform an image via a balance between geometrical deformations and changes in intensities (that can for instance correspond to the appearance of a new structure). The idea developed here is to reconstruct an image from noisy and indirect observations by registering, via metamorphosis, a template to the observed data. Unlike a registration with only geometrical changes, this framework gives good results when intensities of the template are poorly chosen. We show that this method is a well-defined regularization method (proving existence, stability and convergence) and present several numerical examples.
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Dates and versions

hal-01773633 , version 1 (23-04-2018)
hal-01773633 , version 2 (04-06-2018)
hal-01773633 , version 3 (29-11-2019)

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Cite

Ozan Öktem, Barbara Gris, Chong Chen. Image reconstruction through metamorphosis. Inverse Problems, 2020, 36, ⟨10.1088/1361-6420/ab5832⟩. ⟨hal-01773633v3⟩
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