TY - JOUR
T1 - Nonscalar Mathematical Morphology
AU - van de Gronde, Jasper
AU - Roerdink, Jos B.T.M.
PY - 2017
Y1 - 2017
N2 - Mathematical morphology is not always straightforward to generalize to situations where values in an image do not admit a natural total order. This mostly due to the limitations of the underlying formalism. Three state-of-the-art solutions for bypassing those limitations are discussed, with example applications ranging from color images interpreted as vector spaces to periodic and hyperbolic value spaces, and categorical data stemming from per-pixel classification of remote sensing images.
AB - Mathematical morphology is not always straightforward to generalize to situations where values in an image do not admit a natural total order. This mostly due to the limitations of the underlying formalism. Three state-of-the-art solutions for bypassing those limitations are discussed, with example applications ranging from color images interpreted as vector spaces to periodic and hyperbolic value spaces, and categorical data stemming from per-pixel classification of remote sensing images.
KW - Frames
KW - Mathematical morphology
KW - n-Ary morphology
KW - Nonscalar
KW - Sponges
UR - https://www.sciencedirect.com/science/article/pii/S1076567017300885?via%3Dihub
U2 - 10.1016/bs.aiep.2017.09.004
DO - 10.1016/bs.aiep.2017.09.004
M3 - Article
AN - SCOPUS:85030561996
SN - 1076-5670
VL - 204
SP - 111
EP - 145
JO - Advances in Imaging and Electron Physics
JF - Advances in Imaging and Electron Physics
ER -