TY  - CHAP
AU  - Burgeth, Bernhard
AU  - Kleefeld, Andreas
TI  - Towards Processing Fields of General Real-Valued Square Matrices
CY  - Cham
PB  - Springer International Publishing
M1  - FZJ-2017-07016
SN  - 978-3-319-61357-4 (print)
T2  - Mathematics and Visualization
SP  - 115 - 144
PY  - 2017
AB  - 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.
LB  - PUB:(DE-HGF)7
DO  - DOI:10.1007/978-3-319-61358-1_6
UR  - https://juser.fz-juelich.de/record/838404
ER  -