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| 001 | 863459 | ||
| 005 | 20210130002126.0 | ||
| 020 | _ | _ | |a 978-3-030-20866-0 (print) |
| 020 | _ | _ | |a 978-3-030-20867-7 (electronic) |
| 024 | 7 | _ | |a 10.1007/978-3-030-20867-7_16 |2 doi |
| 024 | 7 | _ | |a 0302-9743 |2 ISSN |
| 024 | 7 | _ | |a 1611-3349 |2 ISSN |
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| 037 | _ | _ | |a FZJ-2019-03517 |
| 041 | _ | _ | |a English |
| 100 | 1 | _ | |a Burgeth, Bernhard |0 0000-0001-6602-6201 |b 0 |e Corresponding author |
| 111 | 2 | _ | |a 14th International Symposium on Mathematical Morphology and Its Applications to Signal and Image Processing |g ISMM 2019 |c Saarbrücken |d 2019-07-08 - 2019-07-10 |w Germany |
| 245 | _ | _ | |a A Unified Approach to the Processing of Hyperspectral Images |
| 260 | _ | _ | |a Cham |c 2019 |b Springer International Publishing |
| 295 | 1 | 0 | |a Mathematical Morphology and Its Applications to Signal and Image Processing |
| 300 | _ | _ | |a 202 - 214 |
| 336 | 7 | _ | |a CONFERENCE_PAPER |2 ORCID |
| 336 | 7 | _ | |a Conference Paper |0 33 |2 EndNote |
| 336 | 7 | _ | |a INPROCEEDINGS |2 BibTeX |
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| 490 | 0 | _ | |a Lecture Notes in Computer Science |v 11564 |
| 520 | _ | _ | |a 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. |
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| 700 | 1 | _ | |a Didas, Stephan |0 0000-0003-4853-9008 |b 1 |
| 700 | 1 | _ | |a Kleefeld, Andreas |0 P:(DE-Juel1)169421 |b 2 |
| 773 | _ | _ | |a 10.1007/978-3-030-20867-7_16 |
| 856 | 4 | _ | |u https://juser.fz-juelich.de/record/863459/files/Burgeth2019_Chapter_AUnifiedApproachToTheProcessin.pdf |y Restricted |
| 856 | 4 | _ | |y Published on 2019-05-31. Available in OpenAccess from 2020-05-31. |u https://juser.fz-juelich.de/record/863459/files/budiklR1.pdf |
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