Stability of finite difference schemes for complex diffusion processes

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 eliminati...

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Bibliographic Details
Main Author: Araújo, Adérito (author)
Other Authors: Barbeiro, Sílvia (author), Serranho, Pedro (author)
Format: other
Language:eng
Published: 2010
Subjects:
Online Access:http://hdl.handle.net/10316/13693
Country:Portugal
Oai:oai:estudogeral.sib.uc.pt:10316/13693
Description
Summary: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