| Full text | |
| Author(s): |
Sussner, Peter
[1]
;
Nachtegael, Mike
[2]
;
Melange, Tom
[2]
;
Deschrijver, Glad
[2]
;
Esmi, Estevao
[1]
;
Kerre, Etienne
[2]
Total Authors: 6
|
| Affiliation: | [1] Univ Estadual Campinas, Dept Appl Math, BR-13083859 Campinas, SP - Brazil
[2] Univ Ghent, Dept Appl Math & Comp Sci, B-9000 Ghent - Belgium
Total Affiliations: 2
|
| Document type: | Journal article |
| Source: | Journal of Mathematical Imaging and Vision; v. 43, n. 1, p. 50-71, MAY 2012. |
| Web of Science Citations: | 28 |
| Abstract | |
Mathematical morphology (MM) offers a wide range of tools for image processing and computer vision. MM was originally conceived for the processing of binary images and later extended to gray-scale morphology. Extensions of classical binary morphology to gray-scale morphology include approaches based on fuzzy set theory that give rise to fuzzy mathematical morphology (FMM). From a mathematical point of view, FMM relies on the fact that the class of all fuzzy sets over a certain universe forms a complete lattice. Recall that complete lattices provide for the most general framework in which MM can be conducted. The concept of L-fuzzy set generalizes not only the concept of fuzzy set but also the concepts of interval-valued fuzzy set and Atanassov's intuitionistic fuzzy set. In addition, the class of L-fuzzy sets forms a complete lattice whenever the underlying set L constitutes a complete lattice. Based on these observations, we develop a general approach towards L-fuzzy mathematical morphology in this paper. Our focus is in particular on the construction of connectives for interval-valued and intuitionistic fuzzy mathematical morphologies that arise as special, isomorphic cases of L-fuzzy MM. As an application of these ideas, we generate a combination of some well-known medical image reconstruction techniques in terms of interval-valued fuzzy image processing. (AU) | |
| FAPESP's process: | 09/16284-2 - Estimation of Mappings between Lattices Using (Fuzzy) Neurocomputing for Pattern Recognition |
| Grantee: | Estevão Esmi Laureano |
| Support Opportunities: | Scholarships in Brazil - Doctorate |