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Publication 19-CNA-001

Adaptive Image Processing: First Order PDE Constraint Regularizers And A Bilevel Training Scheme

Elisa Davoli
Department of Mathematics
University of Vienna
Oskar-Morgenstern-Platz 1
1090 Vienna, Austria

Irene Fonseca
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213

Pan Liu
Centre of Mathematical Imaging and Healthcare
Department of Pure Mathematics and Mathematical Statistics
University of Cambridge, UK

Abstract: A bilevel training scheme is used to introduce a novel class of regularizers, providing a unified approach to standard regularizers TV, TGV2 and NsTGV2. 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.

Get the paper in its entirety as  19-CNA-001.pdf

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