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@INPROCEEDINGS{Burgeth:863459,
      author       = {Burgeth, Bernhard and Didas, Stephan and Kleefeld, Andreas},
      title        = {{A} {U}nified {A}pproach to the {P}rocessing of
                      {H}yperspectral {I}mages},
      volume       = {11564},
      address      = {Cham},
      publisher    = {Springer International Publishing},
      reportid     = {FZJ-2019-03517},
      isbn         = {978-3-030-20866-0 (print)},
      series       = {Lecture Notes in Computer Science},
      pages        = {202 - 214},
      year         = {2019},
      comment      = {Mathematical Morphology and Its Applications to Signal and
                      Image Processing},
      booktitle     = {Mathematical Morphology and Its
                       Applications to Signal and Image
                       Processing},
      abstract     = {Since vector fields, such as RGB-color, multispectral or
                      hyperspectral images, possess only limited algebraic and
                      ordering structures they do not lend themselves easily to
                      image processing methods. However, for fields of symmetric
                      matrices a sufficiently elaborate calculus, that includes,
                      for example, suitable notions of multiplication,
                      supremum/infimum and concatenation with real functions, is
                      available. In this article a vector field is coded as a
                      matrix field, which is then processed by means of the matrix
                      valued counterparts of image processing methods. An
                      approximate decoding step transforms a processed matrix
                      field back into a vector field. Here we focus on proposing
                      suitable notions of a pseudo-supremum/infimum of two
                      vectors/colors and a PDE-based dilation/erosion process of
                      color images as a proof-of-concept. In principle there is no
                      restriction on the dimension of the vectors considered.
                      Experiments, mainly on RGB-images for presentation reasons,
                      will reveal the merits and the shortcomings of the proposed
                      methods.},
      month         = {Jul},
      date          = {2019-07-08},
      organization  = {14th International Symposium on
                       Mathematical Morphology and Its
                       Applications to Signal and Image
                       Processing, Saarbrücken (Germany), 8
                       Jul 2019 - 10 Jul 2019},
      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)8 / PUB:(DE-HGF)7},
      UT           = {WOS:000558276600016},
      doi          = {10.1007/978-3-030-20867-7_16},
      url          = {https://juser.fz-juelich.de/record/863459},
}