Contribution to a conference proceedings/Contribution to a book

FZJ-2017-03727

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Matrix-Valued Levelings for Colour Images

Breuß, M. (Corresponding author) ; Hoeltgen, L. ; Kleefeld, A.FZJ*

2017
Springer International Publishing Cham
ISBN: 978-3-319-57239-0 (print), 978-3-319-57240-6 (electronic)

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Please use a persistent id in citations: doi:10.1007/978-3-319-57240-6_24

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.

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Contributing Institute(s):

1. Jülich Supercomputing Center (JSC)

Research Program(s):

1. 511 - Computational Science and Mathematical Methods (POF3-511) (POF3-511)

Appears in the scientific report 2017

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Database coverage:
Nationallizenz ; SCOPUS

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