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@INPROCEEDINGS{Kleefeld:861213,
      author       = {Kleefeld, Andreas},
      title        = {{A}nomalous diffusion, dilation, and erosion in image
                      processing},
      reportid     = {FZJ-2019-01734},
      year         = {2019},
      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.},
      month         = {Feb},
      date          = {2019-02-25},
      organization  = {SIAM Conference on Computational
                       Science and Engineering, Spokane
                       (United States of America), 25 Feb 2019
                       - 1 Mar 2019},
      subtyp        = {After Call},
      cin          = {JSC},
      cid          = {I:(DE-Juel1)JSC-20090406},
      pnm          = {511 - Computational Science and Mathematical Methods
                      (POF3-511)},
      pid          = {G:(DE-HGF)POF3-511},
      typ          = {PUB:(DE-HGF)6},
      url          = {https://juser.fz-juelich.de/record/861213},
}