On the Pair Uninorm-Implication in the Morphological Gradient
On the Pair Uninorm-Implication in the Morphological Gradient
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DOI：
10.1007/978-3-319-11271-8_12
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发表时间：
2012
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影响因子：
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通讯作者：
Manuel González Hidalgo;S. Massanet;A. Mir;D. Ruiz-Aguilera
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文献类型：
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作者：
Manuel González Hidalgo;S. Massanet;A. Mir;D. Ruiz-Aguilera
本文对基于合取非范数的模糊数学形态学的模糊边缘检测器进行了深入分析，以提高其性能。由于边缘检测器基于合取非正态和模糊蕴涵，因此考虑这些算子的几个不同对，目的是确定哪一个是最具竞争力的。使用客观的边缘检测性能测量（即所谓的普拉特品质因数）进行比较。此外，还进行了统计分析，以研究不同配置之间的关系，并根据其各自形态梯度的表现，建立本文考虑的非正则和含义的分类。客观测量和统计分析都得出结论，使用经典否定获得的幂等统一范式及其残差蕴涵是该框架中的最佳配置，尽管也可以考虑一些其他配置。
In this paper, the fuzzy edge detector from the fuzzy mathematical morphology based on conjunctive uninorms is deeply analysed in order to improve its performance. Since the edge detector is based on a conjunctive uninorm and a fuzzy implication, several different pairs of these operators are considered with the aim of determining which is the most competitive one. The comparison is performed using an objective edge detection performance measure, the so-called Pratt’s figure of merit. In addition, a statistical analysis is carried out to study the relationship between the different configurations and establish a classification of the uninorms and implications considered in this paper according to the performance of their respective morphological gradient. Both the objective measure and the statistical analysis conclude that the idempotent uninorm obtained using the classical negation, and its residual implication is the best configuration in this framework, although some other configurations can also be considered.