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Perona-Malik Model with Diffusion Coefficient Depending on Fractional Gradient via Caputo-Fabrizio Derivative
Joint Authors
Nchama, Gustavo Asumu Mboro
Mecias, Angela Leon
Ricard, Mariano Rodriguez
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-08-01
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
The Perona-Malik (PM) model is used successfully in image processing to eliminate noise while preserving edges; however, this model has a major drawback: it tends to make the image look blocky.
This work proposes to modify the PM model by introducing the Caputo-Fabrizio fractional gradient inside the diffusivity function.
Experiments with natural images show that our model can suppress efficiently the blocky effect.
Also, our model has good performance in visual quality, high peak signal-to-noise ratio (PSNR), and lower value of mean absolute error (MAE) and mean square error (MSE).
American Psychological Association (APA)
Nchama, Gustavo Asumu Mboro& Mecias, Angela Leon& Ricard, Mariano Rodriguez. 2020. Perona-Malik Model with Diffusion Coefficient Depending on Fractional Gradient via Caputo-Fabrizio Derivative. Abstract and Applied Analysis،Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1119938
Modern Language Association (MLA)
Nchama, Gustavo Asumu Mboro…[et al.]. Perona-Malik Model with Diffusion Coefficient Depending on Fractional Gradient via Caputo-Fabrizio Derivative. Abstract and Applied Analysis No. 2020 (2020), pp.1-15.
https://search.emarefa.net/detail/BIM-1119938
American Medical Association (AMA)
Nchama, Gustavo Asumu Mboro& Mecias, Angela Leon& Ricard, Mariano Rodriguez. Perona-Malik Model with Diffusion Coefficient Depending on Fractional Gradient via Caputo-Fabrizio Derivative. Abstract and Applied Analysis. 2020. Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1119938
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1119938