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Computer Science > Information Theory

arXiv:2109.13607 (cs)
[Submitted on 28 Sep 2021]

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

Authors:Volker Grimm, Kevin Liang
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Abstract: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.
Subjects: Information Theory (cs.IT); Numerical Analysis (math.NA)
Cite as: arXiv:2109.13607 [cs.IT]
  (or arXiv:2109.13607v1 [cs.IT] for this version)
  https://doi.org/10.48550/arXiv.2109.13607

Submission history

From: Volker Grimm [view email]
[v1] Tue, 28 Sep 2021 10:40:22 UTC (8,128 KB)
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