An extended Krylov subspace method for decoding edge-based compressed images by homogeneous diffusion

Fuente: arXiv
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Hauptverfasser: Grimm, Volker, Liang, Kevin
Format: Preprint
Veröffentlicht: 2021
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author Grimm, Volker
Liang, Kevin
author_facet Grimm, Volker
Liang, Kevin
contents The heat equation is often used in order to inpaint dropped data in inpainting-based lossy compression schemes. We propose an alternative way to numerically solve the heat equation by an extended Krylov subspace method. The method is very efficient with respect to the direct computation of the solution of the heat equation at large times. And this is exactly what is needed for decoding edge-compressed pictures by homogeneous diffusion.
format Preprint
id arxiv_https___arxiv_org_abs_2109_13607
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle An extended Krylov subspace method for decoding edge-based compressed images by homogeneous diffusion
Grimm, Volker
Liang, Kevin
Information Theory
Numerical Analysis
The heat equation is often used in order to inpaint dropped data in inpainting-based lossy compression schemes. We propose an alternative way to numerically solve the heat equation by an extended Krylov subspace method. The method is very efficient with respect to the direct computation of the solution of the heat equation at large times. And this is exactly what is needed for decoding edge-compressed pictures by homogeneous diffusion.
title An extended Krylov subspace method for decoding edge-based compressed images by homogeneous diffusion
topic Information Theory
Numerical Analysis
url https://arxiv.org/abs/2109.13607