Calculus of Variations and Geometric Measure Theory
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E. Davoli - I. Fonseca - P. Liu

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

created by davoli on 04 Feb 2019

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Submitted Paper

Inserted: 4 feb 2019
Last Updated: 4 feb 2019

Year: 2019

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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