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A generalization of the Perona-Malik anisotropic diffusion method using restricted dissimilarity functions

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Abstract
There exists a large number of techniques for content-aware smoothing. Despite its simplicity, the Perona-Malik Anisotropic Diffusion method is among the most employed ones. In this work we study this method in detail and propose a generalization of its diffusion scheme using restricted dissimilarity functions to measure the intensity differences between neighbouring pixels. This generalization permits a better adaptation of the diffusion process to the characteristics of the images.
Keywords
Restricted dissimilarity function, Edge detection, SELECTION, SCALE-SPACE, EDGE-DETECTION, Anisotropic diffusion, Image processing

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MLA
Lopez-Molina, Carlos, Bernard De Baets, Juan Cerron, et al. “A Generalization of the Perona-Malik Anisotropic Diffusion Method Using Restricted Dissimilarity Functions.” INTERNATIONAL JOURNAL OF COMPUTATIONAL INTELLIGENCE SYSTEMS 6.1 (2013): 14–28. Print.
APA
Lopez-Molina, Carlos, De Baets, B., Cerron, J., Galar, M., & Bustince, H. (2013). A generalization of the Perona-Malik anisotropic diffusion method using restricted dissimilarity functions. INTERNATIONAL JOURNAL OF COMPUTATIONAL INTELLIGENCE SYSTEMS, 6(1), 14–28.
Chicago author-date
Lopez-Molina, Carlos, Bernard De Baets, Juan Cerron, Mikel Galar, and Humberto Bustince. 2013. “A Generalization of the Perona-Malik Anisotropic Diffusion Method Using Restricted Dissimilarity Functions.” International Journal of Computational Intelligence Systems 6 (1): 14–28.
Chicago author-date (all authors)
Lopez-Molina, Carlos, Bernard De Baets, Juan Cerron, Mikel Galar, and Humberto Bustince. 2013. “A Generalization of the Perona-Malik Anisotropic Diffusion Method Using Restricted Dissimilarity Functions.” International Journal of Computational Intelligence Systems 6 (1): 14–28.
Vancouver
1.
Lopez-Molina C, De Baets B, Cerron J, Galar M, Bustince H. A generalization of the Perona-Malik anisotropic diffusion method using restricted dissimilarity functions. INTERNATIONAL JOURNAL OF COMPUTATIONAL INTELLIGENCE SYSTEMS. 2013;6(1):14–28.
IEEE
[1]
C. Lopez-Molina, B. De Baets, J. Cerron, M. Galar, and H. Bustince, “A generalization of the Perona-Malik anisotropic diffusion method using restricted dissimilarity functions,” INTERNATIONAL JOURNAL OF COMPUTATIONAL INTELLIGENCE SYSTEMS, vol. 6, no. 1, pp. 14–28, 2013.
@article{4169072,
  abstract     = {{There exists a large number of techniques for content-aware smoothing. Despite its simplicity, the Perona-Malik Anisotropic Diffusion method is among the most employed ones. In this work we study this method in detail and propose a generalization of its diffusion scheme using restricted dissimilarity functions to measure the intensity differences between neighbouring pixels. This generalization permits a better adaptation of the diffusion process to the characteristics of the images.}},
  author       = {{Lopez-Molina, Carlos and De Baets, Bernard and Cerron, Juan and Galar, Mikel and Bustince, Humberto}},
  issn         = {{1875-6883}},
  journal      = {{INTERNATIONAL JOURNAL OF COMPUTATIONAL INTELLIGENCE SYSTEMS}},
  keywords     = {{Restricted dissimilarity function,Edge detection,SELECTION,SCALE-SPACE,EDGE-DETECTION,Anisotropic diffusion,Image processing}},
  language     = {{eng}},
  number       = {{1}},
  pages        = {{14--28}},
  title        = {{A generalization of the Perona-Malik anisotropic diffusion method using restricted dissimilarity functions}},
  url          = {{http://dx.doi.org/10.1080/18756891.2013.752658}},
  volume       = {{6}},
  year         = {{2013}},
}

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