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On Tensor-Based PDEs and their Corresponding Variational Formulations with Application to Color Image Denoising

2026-08-23 08:52:40
Freddie {\AA}str\"om, George Baravdish, Michael Felsberg
arXiv_CV
   
Abstract

The case when a partial differential equation (PDE) can be considered as an Euler-Lagrange (E-L) equation of an energy functional, consisting of a data term and a smoothness term is investigated. We show the necessary conditions for a PDE to be the E-L equation for a corresponding functional. This energy functional is applied to a color image denoising problem and it is shown that the method compares favorably to current state-of-the-art color image denoising techniques.

Abstract (translated)

URL

https://arxiv.org/abs/2608.22302

PDF

https://arxiv.org/pdf/2608.22302.pdf

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