Stability of Finite Difference Schemes for Complex Diffusion Processes

نویسندگان

  • Adérito Araújo
  • Sílvia Barbeiro
  • Pedro Serranho
چکیده

Abstract: Complex diffusion is a common and broadly used denoising procedure in image processing. The method is based on an explicit finite difference scheme applied to a diffusion equation with a proper complex diffusion parameter in order to preserve edges and the main features of the image, while eliminating noise. In this paper we present a rigorous proof for the stability condition of complex diffusion finite difference schemes.

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عنوان ژورنال:
  • SIAM J. Numerical Analysis

دوره 50  شماره 

صفحات  -

تاریخ انتشار 2012