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The fundamentals of fuzzy mathematical morphology, part 1: basic concepts

Bernard De Baets UGent, Etienne Kerre UGent and Madan Gupta (1995) INTERNATIONAL JOURNAL OF GENERAL SYSTEMS. 23(2). p.155-171
abstract
Fuzzy mathematical morphology provides an alternative extension of the binary morphological operations to gray-scale images based on the theory of fuzzy sets. This paper introduces the basic concepts of fuzzy mathematical morphology, starting from the original definitions of the morphological operations by Serra. More specifically, the fuzzy dilation, erosion, closing and opening operations are introduced. Their basic properties such as monotonicity and interaction with union and intersection are discussed in detail. Some important relationships between the fuzzy erosion and fuzzy dilation are established.
Please use this url to cite or link to this publication:
author
organization
alternative title
The fundamentals of fuzzy mathematical morphology, 1 : basic concepts
year
type
journalArticle (original)
publication status
published
subject
keyword
FUZZY MATHEMATICAL MORPHOLOGY, BINARY MATHEMATICAL MORPHOLOGY, FUZZY SETS, GRAY-SCALE IMAGES, DILATION, EROSION, CLOSING, OPENING
journal title
INTERNATIONAL JOURNAL OF GENERAL SYSTEMS
Int. J. Gen. Syst.
volume
23
issue
2
pages
155 - 171
Web of Science type
Article
ISSN
0308-1079
DOI
10.1080/03081079508908037
language
English
UGent publication?
yes
classification
A1
additional info
1995 is year of publication according to journal ; year mentioned in Web of Science : 1994
id
195440
handle
http://hdl.handle.net/1854/LU-195440
date created
2004-01-14 13:42:00
date last changed
2016-12-19 15:39:01
@article{195440,
  abstract     = {Fuzzy mathematical morphology provides an alternative extension of the binary morphological operations to gray-scale images based on the theory of fuzzy sets. This paper introduces the basic concepts of fuzzy mathematical morphology, starting from the original definitions of the morphological operations by Serra. More specifically, the fuzzy dilation, erosion, closing and opening operations are introduced. Their basic properties such as monotonicity and interaction with union and intersection are discussed in detail. Some important relationships between the fuzzy erosion and fuzzy dilation are established.},
  author       = {De Baets, Bernard and Kerre, Etienne and Gupta, Madan},
  issn         = {0308-1079},
  journal      = {INTERNATIONAL JOURNAL OF GENERAL SYSTEMS},
  keyword      = {FUZZY MATHEMATICAL MORPHOLOGY,BINARY MATHEMATICAL MORPHOLOGY,FUZZY SETS,GRAY-SCALE IMAGES,DILATION,EROSION,CLOSING,OPENING},
  language     = {eng},
  number       = {2},
  pages        = {155--171},
  title        = {The fundamentals of fuzzy mathematical morphology, part 1: basic concepts},
  url          = {http://dx.doi.org/10.1080/03081079508908037},
  volume       = {23},
  year         = {1995},
}

Chicago
De Baets, Bernard, Etienne Kerre, and Madan Gupta. 1995. “The Fundamentals of Fuzzy Mathematical Morphology, Part 1: Basic Concepts.” International Journal of General Systems 23 (2): 155–171.
APA
De Baets, Bernard, Kerre, E., & Gupta, M. (1995). The fundamentals of fuzzy mathematical morphology, part 1: basic concepts. INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, 23(2), 155–171.
Vancouver
1.
De Baets B, Kerre E, Gupta M. The fundamentals of fuzzy mathematical morphology, part 1: basic concepts. INTERNATIONAL JOURNAL OF GENERAL SYSTEMS. 1995;23(2):155–71.
MLA
De Baets, Bernard, Etienne Kerre, and Madan Gupta. “The Fundamentals of Fuzzy Mathematical Morphology, Part 1: Basic Concepts.” INTERNATIONAL JOURNAL OF GENERAL SYSTEMS 23.2 (1995): 155–171. Print.