Conference Presentation (After Call)

FZJ-2019-01734

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*

2019

Please use a persistent id in citations: http://hdl.handle.net/2128/21770

Abstract: In this talk, anomalous sub- and super-diffusion arising inimage processing is considered and is modeled by a diffusionequation with fractional time derivative. It mightserve as a building block for the construction of variousfilters. The resulting partial differential equation is discretisedin space with centered differences and in time withthe explicit or implicit Euler method, respectively. A numericalinvestigation is performed to illustrate new andinteresting results. Additionally, the time derivative of thepartial differential equation describing dilation and erosionis replaced by a fractional time derivative and then solvednumerically. Interesting new questions arise from the presentednumerical results.

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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 2019

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Database coverage:

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