TY  - CONF
AU  - Burgeth, Bernhard
AU  - Didas, Stephan
AU  - Kleefeld, Andreas
TI  - A Unified Approach to the Processing of Hyperspectral Images
VL  - 11564
CY  - Cham
PB  - Springer International Publishing
M1  - FZJ-2019-03517
SN  - 978-3-030-20866-0 (print)
T2  - Lecture Notes in Computer Science
SP  - 202 - 214
PY  - 2019
AB  - 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.
T2  - 14th International Symposium on Mathematical Morphology and Its Applications to Signal and Image Processing
CY  - 8 Jul 2019 - 10 Jul 2019, Saarbrücken (Germany)
Y2  - 8 Jul 2019 - 10 Jul 2019
M2  - Saarbrücken, Germany
LB  - PUB:(DE-HGF)8 ; PUB:(DE-HGF)7
UR  - <Go to ISI:>//WOS:000558276600016
DO  - DOI:10.1007/978-3-030-20867-7_16
UR  - https://juser.fz-juelich.de/record/863459
ER  -