Contribution to a book

FZJ-2017-07016

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Towards Processing Fields of General Real-Valued Square Matrices

Burgeth, B. (Corresponding author) ; Kleefeld, A.FZJ*

2017
Springer International Publishing Cham
ISBN: 978-3-319-61357-4 (print), 978-3-319-61358-1 (electronic)

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Please use a persistent id in citations: doi:10.1007/978-3-319-61358-1_6

Abstract: In this paper, a general framework is presented that allows for thefundamental morphological operations such as dilation and erosion for real-valuedsquare matrix fields. Hence, it is also possible to process any field consisting ofa subgroup of general matrices with examples like the general linear, symmetric,skew-symmetric, Hermitian, and orthonormal group. Therefore, from the theoreticalpoint of view it is possible to process any field with entries consisting of theaforementioned groups. Extended examples illustrated the different conversionprocesses and the definition of corresponding pseudo-suprema and pseudo-infima.Furthermore, some possible applications are illustrated.

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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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