Adaptive image processing: a bilevel structure learning approach for mixed-order total variation regularizers

Abstract

A class of mixed-order PDE-constraint regularizer for image processing problem is proposed, generalizing the standard first order total variation (TV). A semi-supervised (bilevel) training scheme, which provides a simultaneous optimization with respect to parameters and the new class of regularizers, is studied. Also, A finite approximation method, which used to solve the global optimization solutions of such training scheme, is introduced and analyzed.

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