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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
elisa.davoli@univie.ac.at

Irene Fonseca
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213
fonseca@andrew.cmu.edu

Pan Liu
Centre of Mathematical Imaging and Healthcare
Department of Pure Mathematics and Mathematical Statistics
University of Cambridge, UK
panliu.0923@maths.cam.ac.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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