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Grant support

This research was partially funded by public research projects of Spanish Ministry of Science and Innovation, references PID2020-118249RB-C22 and PDC2021-121567-C22-AEI/10.13039/501100011033, and by the Madrid Government (Comunidad de Madrid-Spain) under the Multiannual Agreement with UC3M in the line of Excellence of University Professors, reference EPUC3M17.

Analysis of institutional authors

Fernandez, RAuthor

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August 8, 2022
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Article

Application of Smooth Fuzzy Model in Image Denoising and Edge Detection

Publicated to:Mathematics. 10 (14): - 2022-01-01 10(14), DOI: 10.3390/math10142421

Authors: Sadjadi, EN; Zadeh, DS; Moshiri, B; Herrero, JG; Lopez, JMM; Fernandez, R

Affiliations

CSIC UPM, Ctr Automat & Robot, Ctra Campo Real Km 0-2, Madrid 28500, Spain - Author
Univ Carlos III Madrid, Dept Informat, Colmenarejo 28270, Spain - Author
Univ Tehran, Sch Elect & Comp Engn, Tehran 1439957131, Iran - Author
Univ Waterloo, Dept Elect & Comp Engn, Waterloo, ON N2L 3G1, Canada - Author
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Abstract

In 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.

Keywords

Bounded variation functionEdge detectionFuzzy modelsNoiseNoise reductionSmooth compositions

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal Mathematics due to its progression and the good impact it has achieved in recent years, according to the agency WoS (JCR), it has become a reference in its field. In the year of publication of the work, 2022, it was in position 23/330, thus managing to position itself as a Q1 (Primer Cuartil), in the category Mathematics. Notably, the journal is positioned above the 90th percentile.

Independientemente del impacto esperado determinado por el canal de difusión, es importante destacar el impacto real observado de la propia aportación.

Según las diferentes agencias de indexación, el número de citas acumuladas por esta publicación hasta la fecha 2025-11-05:

  • WoS: 1
  • Scopus: 4

Impact and social visibility

From the perspective of influence or social adoption, and based on metrics associated with mentions and interactions provided by agencies specializing in calculating the so-called "Alternative or Social Metrics," we can highlight as of 2025-11-05:

  • The use of this contribution in bookmarks, code forks, additions to favorite lists for recurrent reading, as well as general views, indicates that someone is using the publication as a basis for their current work. This may be a notable indicator of future more formal and academic citations. This claim is supported by the result of the "Capture" indicator, which yields a total of: 2 (PlumX).

It is essential to present evidence supporting full alignment with institutional principles and guidelines on Open Science and the Conservation and Dissemination of Intellectual Heritage. A clear example of this is:

  • The work has been submitted to a journal whose editorial policy allows open Open Access publication.

Leadership analysis of institutional authors

This work has been carried out with international collaboration, specifically with researchers from: Canada; Iran.

There is a significant leadership presence as some of the institution’s authors appear as the first or last signer, detailed as follows: Last Author (Fernandez Saavedra, Roemi Emilia).