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000861213 037__ $$aFZJ-2019-01734
000861213 041__ $$aEnglish
000861213 1001_ $$0P:(DE-Juel1)169421$$aKleefeld, Andreas$$b0$$eCorresponding author$$ufzj
000861213 1112_ $$aSIAM Conference on Computational Science and Engineering$$cSpokane$$d2019-02-25 - 2019-03-01$$gCSE 2019$$wUnited States of America
000861213 245__ $$aAnomalous diffusion, dilation, and erosion in image processing
000861213 260__ $$c2019
000861213 3367_ $$033$$2EndNote$$aConference Paper
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000861213 520__ $$aIn 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.
000861213 536__ $$0G:(DE-HGF)POF3-511$$a511 - Computational Science and Mathematical Methods (POF3-511)$$cPOF3-511$$fPOF III$$x0
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