Abstract
This paper describes a class of ill-posed anisotropic diffusion models of the type presented by Perona and Malik (1990). 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.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
