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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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Chicago
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.
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.
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.
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.
@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},
  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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