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A high-contrast fourth-order PDE from imaging: numerical solution by ADI splitting

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posted on 2023-06-08, 12:21 authored by Bertram Duering, Carola-Bibiane Schönlieb
We consider a nonlinear fourth-order diffusion equation that arises in denoising of image densities. We propose an alternative direction implicit (ADI) splitting method for its numerical solution. To treat the high-order and mixed derivative terms in the equation we adopt an ADI method by Hundsdorfer and Verwer to the present setting. The paper is furnished with numerical results for the evolution of simple densities and for image denoising.

History

Publication status

  • Published

File Version

  • Accepted version

Publisher

American Mathematical Society

Volume

577

Page range

93-104

Pages

144.0

Book title

Multi-scale and high-contrast partial differential equations: from modelling, to mathematical analysis, to inversion

Place of publication

Providence

ISBN

9780821869291

Series

Contemporary Mathematics

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Editors

Yves Capdeboscq, Habib Ammari, Hyeonbae Kang

Legacy Posted Date

2012-09-25

First Compliant Deposit (FCD) Date

2016-03-22

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