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

Düring, Bertram and Schönlieb, Carola-Bibiane (2012) A high-contrast fourth-order PDE from imaging: numerical solution by ADI splitting. In: Ammari, Habib, Capdeboscq, Yves and Kang, Hyeonbae (eds.) Multi-scale and high-contrast partial differential equations: from modelling, to mathematical analysis, to inversion. Contemporary Mathematics, 577 . American Mathematical Society, Providence, pp. 93-104. ISBN 9780821869291

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Abstract

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.

Item Type: Book Section
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Subjects: Q Science > QA Mathematics > QA0297 Numerical analysis
Depositing User: Bertram During
Date Deposited: 25 Sep 2012 11:52
Last Modified: 25 Sep 2012 11:52
URI: http://sro.sussex.ac.uk/id/eprint/40585

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