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arXiv · 1902.01122

Adaptive image processing: first order PDE constraint regularizers and a bilevel training scheme

Elisa Davoli·Irene Fonseca·Pan Liu
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Abstract

A bilevel training scheme is used to introduce a novel class of regularizers, providing a unified approach to standard regularizers $TV$, $TGV^2$ and $NsTGV^2$. Optimal parameters and regularizers are identified, and the existence of a solution for any given set of training imaging data is proved by $\Gamma$-convergence. Explicit examples and numerical results are given.

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Elisa Davoli, Irene Fonseca, Pan Liu. 2019-02-04. Adaptive image processing: first order PDE constraint regularizers and a bilevel training scheme. https://arxiv.org/abs/1902.01122

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