Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-11)

Closing and Opening based on discrete t-norms. Applications to natural Image Analysis

Authors
Manuel González-Hidalgo, Sebastià Massanet
Corresponding Author
Manuel González-Hidalgo
Available Online August 2011.
DOI
https://doi.org/10.2991/eusflat.2011.107How to use a DOI?
Keywords
Discrete t-norm, mathematical morphology, edge detection, noise reduction.
Abstract
This paper delves deeply into the recently introduced mathematical morphology based on discrete t-norms. Closing and opening operators and the concepts of open and closed objects are introduced. All the properties satisfied by nilpotent t-norms, even the generalized idempotence, hold too. After that, some experimental results, using comparative measures, on edge detection are showed. Some experimental results concerning the Top-Hat transformations and the basic filters built from the opening and closing operators are presented. Top-Hat experiments are compared with those obtained with the umbra approach, nilpotent t-norms and uninorms, proving that the discrete approach provides notable results. Moreover, different objective measures are used in order to evaluate the filtered results depending on the amount of noise in the image.
Open Access
This is an open access article distributed under the CC BY-NC license.

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Proceedings
Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology
Part of series
Advances in Intelligent Systems Research
Publication Date
August 2011
ISBN
978-90-78677-00-0
ISSN
1951-6851
DOI
https://doi.org/10.2991/eusflat.2011.107How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - CONF
AU  - Manuel González-Hidalgo
AU  - Sebastià Massanet
PY  - 2011/08
DA  - 2011/08
TI  - Closing and Opening based on discrete t-norms. Applications to natural Image Analysis
BT  - Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology
PB  - Atlantis Press
SP  - 358
EP  - 365
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2011.107
DO  - https://doi.org/10.2991/eusflat.2011.107
ID  - González-Hidalgo2011/08
ER  -