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arXiv · 2608.22302

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

Freddie Åström·George Baravdish·Michael Felsberg
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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.

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Freddie Åström, George Baravdish, Michael Felsberg. 2026-08-23. On Tensor-Based PDEs and their Corresponding Variational Formulations with Application to Color Image Denoising. https://doi.org/10.1007/978-3-642-33712-3_16

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