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@INBOOK{Breu:830150,
      author       = {Breuß, Michael and Hoeltgen, Laurent and Kleefeld,
                      Andreas},
      title        = {{M}atrix-{V}alued {L}evelings for {C}olour {I}mages},
      volume       = {10225},
      address      = {Cham},
      publisher    = {Springer International Publishing},
      reportid     = {FZJ-2017-03727},
      isbn         = {978-3-319-57239-0 (print)},
      series       = {Lecture Notes in Computer Science},
      pages        = {296 - 308},
      year         = {2017},
      comment      = {Mathematical Morphology and Its Applications to Signal and
                      Image Processing / Angulo, Jesús (Editor) ; Cham : Springer
                      International Publishing, 2017, Chapter 24 ; ISSN:
                      0302-9743=1611-3349 ; ISBN:
                      978-3-319-57239-0=978-3-319-57240-6},
      booktitle     = {Mathematical Morphology and Its
                       Applications to Signal and Image
                       Processing / Angulo, Jesús (Editor) ;
                       Cham : Springer International
                       Publishing, 2017, Chapter 24 ; ISSN:
                       0302-9743=1611-3349 ; ISBN:
                       978-3-319-57239-0=978-3-319-57240-6},
      abstract     = {Morphological levelings represent a useful tool for the
                      decomposition of an image into cartoon and texture
                      components. Moreover, they can be used to construct a
                      morphological scale space. However, the classic construction
                      of levelings is limited to the use of grey scale images,
                      since an ordering of pixel values is required.In this paper
                      we propose an extension of morphological levelings to colour
                      images. To this end, we consider the formulation of colour
                      images as matrix fields and explore techniques based on the
                      Loewner order for formulating morphological levelings in
                      this setting. Using the matrix-valued colours we study
                      realisations of levelings relying on both the completely
                      discrete construction and the formulation using a partial
                      differential equation. Experimental results confirm the
                      potential of our matrix-based approaches for analysing
                      texture in colour images and for extending the range of
                      applications of levelings in a convenient way to colour
                      image processing.},
      month         = {May},
      date          = {2017-05-15},
      organization  = {13th International Symposium on
                       Mathematical Morphology and Its
                       Applications to Signal and Image
                       Processing, Fontainebleau (France), 15
                       May 2017 - 17 May 2017},
      cin          = {JSC},
      ddc          = {004},
      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:000425356700024},
      doi          = {10.1007/978-3-319-57240-6_24},
      url          = {https://juser.fz-juelich.de/record/830150},
}