Closing and Opening based on discrete t-norms. Applications to natural Image Analysis
Manuel González-Hidalgo, Sebastià Massanet
Available Online August 2011.
- https://doi.org/10.2991/eusflat.2011.107How to use a DOI?
- Discrete t-norm, mathematical morphology, edge detection, noise reduction.
- 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.
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 -