TY - CONF AU - Kleefeld, Andreas TI - Anomalous diffusion, dilation, and erosion in image processing M1 - FZJ-2019-01734 PY - 2019 AB - 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. T2 - SIAM Conference on Computational Science and Engineering CY - 25 Feb 2019 - 1 Mar 2019, Spokane (United States of America) Y2 - 25 Feb 2019 - 1 Mar 2019 M2 - Spokane, United States of America LB - PUB:(DE-HGF)6 UR - https://juser.fz-juelich.de/record/861213 ER -