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000863459 037__ $$aFZJ-2019-03517
000863459 041__ $$aEnglish
000863459 1001_ $$00000-0001-6602-6201$$aBurgeth, Bernhard$$b0$$eCorresponding author
000863459 1112_ $$a14th International Symposium on Mathematical Morphology and Its Applications to Signal and Image Processing$$cSaarbrücken$$d2019-07-08 - 2019-07-10$$gISMM 2019$$wGermany
000863459 245__ $$aA Unified Approach to the Processing of Hyperspectral Images
000863459 260__ $$aCham$$bSpringer International Publishing$$c2019
000863459 29510 $$aMathematical Morphology and Its Applications to Signal and Image Processing
000863459 300__ $$a202 - 214
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000863459 4900_ $$aLecture Notes in Computer Science$$v11564
000863459 520__ $$aSince 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.
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000863459 7001_ $$00000-0003-4853-9008$$aDidas, Stephan$$b1
000863459 7001_ $$0P:(DE-Juel1)169421$$aKleefeld, Andreas$$b2
000863459 773__ $$a10.1007/978-3-030-20867-7_16
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000863459 8564_ $$uhttps://juser.fz-juelich.de/record/863459/files/budiklR1.pdf$$yPublished on 2019-05-31. Available in OpenAccess from 2020-05-31.
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