title: |
Closing and Opening based on discrete t-norms. Applications to natural Image Analysis |
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publication: |
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part of series: |
Advances in Intelligent Systems Research | |
| pages: | 358 - 365 | |
DOI: |
To be assigned soon (how to use a DOI) | |
author(s): |
M. Gonz¨˘lez-Hidalgo, S. Massanet |
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publication date: |
July 2011 |
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keywords: |
Discrete t-norm, mathematical morphology, edge detection, noise reduction. |
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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. |
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copyright: |
©
Atlantis Press. This article is distributed under the
terms of the Creative Commons Attribution License, which permits
non-commercial use, distribution and reproduction in any medium,
provided the original work is properly cited. |
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full text: |