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

DOI

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.

Copyright

© 2011, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Download article (PDF)

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 (EUSFLAT-11)
PB  - Atlantis Press
SP  - 358
EP  - 365
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2011.107
DO  - 10.2991/eusflat.2011.107
ID  - González-Hidalgo2011/08
ER  -