001     830150
005     20210129230431.0
020 _ _ |a 978-3-319-57239-0 (print)
020 _ _ |a 978-3-319-57240-6 (electronic)
024 7 _ |a 10.1007/978-3-319-57240-6_24
|2 doi
024 7 _ |a 0302-9743
|2 ISSN
024 7 _ |a 1611-3349
|2 ISSN
024 7 _ |a WOS:000425356700024
|2 WOS
037 _ _ |a FZJ-2017-03727
041 _ _ |a English
082 _ _ |a 004
100 1 _ |a Breuß, Michael
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|e Corresponding author
111 2 _ |a 13th International Symposium on Mathematical Morphology and Its Applications to Signal and Image Processing
|g ISMM 2017
|c Fontainebleau
|d 2017-05-15 - 2017-05-17
|w France
245 _ _ |a Matrix-Valued Levelings for Colour Images
260 _ _ |a Cham
|c 2017
|b Springer International Publishing
295 1 0 |a 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
300 _ _ |a 296 - 308
336 7 _ |a Contribution to a conference proceedings
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490 0 _ |a Lecture Notes in Computer Science
|v 10225
520 _ _ |a 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.
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700 1 _ |a Hoeltgen, Laurent
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700 1 _ |a Kleefeld, Andreas
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914 1 _ |y 2017
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