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

Freddie Åström; George Baravdish; Michael Felsberg

doi:10.1007/978-3-642-33712-3_16

paper

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

arXiv:2608.22302 · doi:10.1007/978-3-642-33712-3_16

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.