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@INBOOK{Burgeth:838404,
      author       = {Burgeth, Bernhard and Kleefeld, Andreas},
      title        = {{T}owards {P}rocessing {F}ields of {G}eneral
                      {R}eal-{V}alued {S}quare {M}atrices},
      address      = {Cham},
      publisher    = {Springer International Publishing},
      reportid     = {FZJ-2017-07016},
      isbn         = {978-3-319-61357-4 (print)},
      series       = {Mathematics and Visualization},
      pages        = {115 - 144},
      year         = {2017},
      comment      = {Modeling, Analysis, and Visualization of Anisotropy},
      booktitle     = {Modeling, Analysis, and Visualization
                       of Anisotropy},
      abstract     = {In this paper, a general framework is presented that allows
                      for thefundamental morphological operations such as dilation
                      and erosion for real-valuedsquare matrix fields. Hence, it
                      is also possible to process any field consisting ofa
                      subgroup of general matrices with examples like the general
                      linear, symmetric,skew-symmetric, Hermitian, and orthonormal
                      group. Therefore, from the theoreticalpoint of view it is
                      possible to process any field with entries consisting of
                      theaforementioned groups. Extended examples illustrated the
                      different conversionprocesses and the definition of
                      corresponding pseudo-suprema and pseudo-infima.Furthermore,
                      some possible applications are illustrated.},
      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)7},
      doi          = {10.1007/978-3-319-61358-1_6},
      url          = {https://juser.fz-juelich.de/record/838404},
}