Title :
Lattice of generalized neighbourhood sequences in nD
Author :
Fazekas, Attila ; Hajdu, András ; Hajdu, Lajos
Author_Institution :
Inst. of Math. & Inf., Debrecen Univ., Hungary
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;
Conference_Titel :
Image and Signal Processing and Analysis, 2003. ISPA 2003. Proceedings of the 3rd International Symposium on
Print_ISBN :
953-184-061-X
DOI :
10.1109/ISPA.2003.1296877
