Journal Article

FZJ-2018-02276

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Anomalous diffusion, dilation, and erosion in image processing

Kleefeld, A. (Corresponding author)FZJ* ; Vorderwülbecke, S.FZJ* ; Burgeth, B.

2018
Taylor and Francis London [u.a.]

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Please use a persistent id in citations: http://hdl.handle.net/2128/17975  doi:10.1080/00207160.2017.1423292

Abstract: In this paper, anomalous sub- and super-diffusion arising in image processing is considered and is modelled by a diffusion equation with fractional time derivative. It might serve as a building block for the construction of various filters. The resulting partial differential equation is discretized in space with centred differences and in time with the explicit or implicit Euler method, respectively. A numerical investigation is performed to illustrate new and interesting results. Additionally, the time derivative of the partial differential equation describing dilation and erosion is replaced by a fractional time derivative and then solved numerically. Interesting new questions arise from the presented numerical results. A short summary and outlook conclude this article.

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Contributing Institute(s):

1. Jülich Supercomputing Center (JSC)

Research Program(s):

1. 511 - Computational Science and Mathematical Methods (POF3-511) (POF3-511)

Appears in the scientific report 2018

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Database coverage:
; ; Current Contents - Engineering, Computing and Technology ; Ebsco Academic Search ; IF < 5 ; JCR ; Nationallizenz ; SCOPUS ; Science Citation Index Expanded ; Thomson Reuters Master Journal List ; Web of Science Core Collection

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