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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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https://hal.archives-ouvertes.fr/hal-01773633
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Submitted on : Friday, November 29, 2019 - 11:16:26 AM
Last modification on : Friday, December 3, 2021 - 11:43:40 AM

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

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