Application of Smooth Fuzzy Model in Image Denoising and Edge Detection

n this paper, the bounded variation property of fuzzy models with smooth compositions have been studied, and they have been compared with the standard fuzzy composition (e.g., min–max). Moreover, the contribution of the bounded variation of the smooth fuzzy model for the noise removal and edge prese...

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Detalhes bibliográficos
Autores: Navid Sadjadi, Ebrahim, Sadrian Zadeh, Danial, Moshiri, Behzad, García Herrero, Jesús, Molina López, Jose Manuel, Fernández, Roemi
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2022
País:España
Recursos:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/374929
Acesso em linha:http://hdl.handle.net/10261/374929
Access Level:acceso abierto
Palavra-chave:fuzzy models
bounded variation function
smooth compositions
edge detection
noise reduction
Descrição
Resumo:n this paper, the bounded variation property of fuzzy models with smooth compositions have been studied, and they have been compared with the standard fuzzy composition (e.g., min–max). Moreover, the contribution of the bounded variation of the smooth fuzzy model for the noise removal and edge preservation of the digital images has been investigated. Different simulations on the test images have been employed to verify the results. The performance index related to the detected edges of the smooth fuzzy models in the presence of both Gaussian and Impulse (also known as salt-and-pepper noise) noises of different densities has been found to be higher than the standard well-known fuzzy models (e.g., min–max composition), which demonstrates the efficiency of smooth compositions in comparison to the standard composition.