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Non-adaptive and Amoeba Quantile Filters for Colour Images

  • Quantile filters, or rank-order filters, are local image filters which assign quantiles of intensities of the input image within neighbourhoods as output image values. Combining a multivariate quantile definition developed in matrix-valued morphology with a recently introduced mapping between the RGB colour space and the space of symmetric 2×2 matrices, we state a class of colour image quantile filters, along with a class of morphological gradient filters derived from these. Using amoeba structuring elements, we devise image-adaptive versions of both filter classes. Experiments demonstrate the favourable properties of the filters.

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Author: Martin Welk, Andreas Kleefeld, Michael BreußGND
DOI:https://doi.org/10.1007/978-3-319-18720-4_34
ISBN:978-3-319-18719-8
ISBN:978-3-319-18720-4
Title of the source (English):Mathematical Morphology and Its Applications to Signal and Image Processing
Publisher:Springer International Publishing
Place of publication:Berlin
Editor: Jón Atli Benediktsson, Jocelyn Chanussot, Laurent Najman, Hugues Talbot
Document Type:Part of a book (chapter)
Language:English
Year of publication:2015
Tag:Amoebas; Color image; Matrix field; Quantile; Rank-order filter
First Page:398
Last Page:409
Series ; volume number:Lecture Notes in Computer Science ; 9082
Faculty/Chair:Fakultät 1 MINT - Mathematik, Informatik, Physik, Elektro- und Informationstechnik / FG Angewandte Mathematik
Fakultät 1 MINT - Mathematik, Informatik, Physik, Elektro- und Informationstechnik / FG Numerische Mathematik und Wissenschaftliches Rechnen
Institution name at the time of publication:Fakultät für Mathematik, Naturwissenschaften und Informatik (eBTU) / LS Mathematik, insbesondere Numerische Mathematik und Wissenschaftliches Rechnen
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