DocumentCode
411460
Title
Lattice of generalized neighbourhood sequences in nD
Author
Fazekas, Attila ; Hajdu, András ; Hajdu, Lajos
Author_Institution
Inst. of Math. & Inf., Debrecen Univ., Hungary
Volume
1
fYear
2003
fDate
18-20 Sept. 2003
Firstpage
107
Abstract
The neighbourhood sequences have got a very important role in the digital picture processing. In this paper we give some new results from this area. We describe an ordering relation on the set of generalized nD-neighbourhood sequences. As this ordering does not have nice properties, we introduce another relation and prove that a complete distributive lattice can be obtained in this wax. Our investigations generalize the previous results of Das (1990) and Fazekas (1999) in 2D and 3D, respectively.
Keywords
image sequences; digital picture processing; distributive lattice; generalized nD-neighbourhood sequences; Geometry; Image processing; Informatics; Lattices; Mathematics; Neodymium; Signal analysis; Signal processing; Topology; Zinc;
fLanguage
English
Publisher
ieee
Conference_Titel
Image and Signal Processing and Analysis, 2003. ISPA 2003. Proceedings of the 3rd International Symposium on
Print_ISBN
953-184-061-X
Type
conf
DOI
10.1109/ISPA.2003.1296877
Filename
1296877
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