Existence results for generalized EED denoising problems
Michael Bildhauer, Martin Fuchs
TL;DR
This paper investigates the existence of solutions for generalized edge-enhancing diffusion (EED) denoising problems, broadening the class of diffusion tensors that guarantee solvability.
Contribution
It extends previous work by characterizing a wide class of diffusion tensors that ensure the existence of solutions in EED denoising problems.
Findings
A broad class of diffusion tensors admits solutions.
Extension of existence results to generalized EED denoising.
Connections to edge-enhancing diffusion inpainting.
Abstract
The joint work of the authors with Marcelo C\'ardenas and Joachim Weickert \cite{BCFW:2019_1} on edge-enhancing diffusion inpainting problems leads to the analysis of related denoising problems. Here, a surprisingly broad class of diffusion tensors is admissible to obtain the existence of solutions to EED denoising problems.
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Taxonomy
TopicsImage and Signal Denoising Methods · Mathematical Analysis and Transform Methods · Advanced Mathematical Modeling in Engineering