%0 Conference Paper
%A Burgeth, Bernhard
%A Didas, Stephan
%A Kleefeld, Andreas
%T A Unified Approach to the Processing of Hyperspectral Images
%V 11564
%C Cham
%I Springer International Publishing
%M FZJ-2019-03517
%@ 978-3-030-20866-0 (print)
%B Lecture Notes in Computer Science
%P 202 - 214
%D 2019
%< Mathematical Morphology and Its Applications to Signal and Image Processing
%X Since vector fields, such as RGB-color, multispectral or hyperspectral images, possess only limited algebraic and ordering structures they do not lend themselves easily to image processing methods. However, for fields of symmetric matrices a sufficiently elaborate calculus, that includes, for example, suitable notions of multiplication, supremum/infimum and concatenation with real functions, is available. In this article a vector field is coded as a matrix field, which is then processed by means of the matrix valued counterparts of image processing methods. An approximate decoding step transforms a processed matrix field back into a vector field. Here we focus on proposing suitable notions of a pseudo-supremum/infimum of two vectors/colors and a PDE-based dilation/erosion process of color images as a proof-of-concept. In principle there is no restriction on the dimension of the vectors considered. Experiments, mainly on RGB-images for presentation reasons, will reveal the merits and the shortcomings of the proposed methods.
%B 14th International Symposium on Mathematical Morphology and Its Applications to Signal and Image Processing
%C 8 Jul 2019 - 10 Jul 2019, Saarbrücken (Germany)
Y2 8 Jul 2019 - 10 Jul 2019
M2 Saarbrücken, Germany
%F PUB:(DE-HGF)8 ; PUB:(DE-HGF)7
%9 Contribution to a conference proceedingsContribution to a book
%U <Go to ISI:>//WOS:000558276600016
%R 10.1007/978-3-030-20867-7_16
%U https://juser.fz-juelich.de/record/863459