On ill-posed anisotropic diffusion models

Yu Li You, Wenyuan Xu, M. Kaveh, A. Tannenbaum

Research output: Contribution to conferencePaper

1 Scopus citations

Abstract

This paper describes a class of ill-posed anisotropic diffusion models of the type presented by Perona and Malik [1]. The analysis is based on a previous result that anisotropic diffusion is a steepest descent motion on an energy surface and its behavior is thus determined by the shape of this energy surface. We show that the class of diffusion models are ill-posed because the energy surface is discontinuous at all continuous images, and all step images, which are dense in the space of piecewise images, are global minima of the energy surface.

Original languageEnglish (US)
Pages268-271
Number of pages4
StatePublished - Jan 1 1996
EventProceedings of the 1995 IEEE International Conference on Image Processing. Part 3 (of 3) - Washington, DC, USA
Duration: Oct 23 1995Oct 26 1995

Other

OtherProceedings of the 1995 IEEE International Conference on Image Processing. Part 3 (of 3)
CityWashington, DC, USA
Period10/23/9510/26/95

Fingerprint Dive into the research topics of 'On ill-posed anisotropic diffusion models'. Together they form a unique fingerprint.

  • Cite this

    You, Y. L., Xu, W., Kaveh, M., & Tannenbaum, A. (1996). On ill-posed anisotropic diffusion models. 268-271. Paper presented at Proceedings of the 1995 IEEE International Conference on Image Processing. Part 3 (of 3), Washington, DC, USA, .