Advanced Studies in Pure Mathematics
- Adv. Stud. Pure Math.
- Variational Methods for Evolving Objects, L. Ambrosio, Y. Giga, P. Rybka and Y. Tonegawa, eds. (Tokyo: Mathematical Society of Japan, 2015), 131 - 156
Anisotropic diffusions of image processing from Perona–Malik on
Many reasons can be cited for the desire to harness the power of nonlinear anisotropic diffusion in image processing. Perona and Malik proposed one of the pioneering models which, while numerically viable, proves mathematically ill-posed. This discrepancy between its analytical properties and those of its numerical implementations spurred a significant amount of research in the past twenty years or so. An overview of the latter is the topic of this article.
Received: 16 January 2013
First available in Project Euclid: 19 October 2018
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Guidotti, Patrick. Anisotropic diffusions of image processing from Perona–Malik on. Variational Methods for Evolving Objects, 131--156, Mathematical Society of Japan, Tokyo, Japan, 2015. doi:10.2969/aspm/06710131. https://projecteuclid.org/euclid.aspm/1539916036