Stability of finite difference schemes for complex diffusion processes

• Author(s): Araújo, Adérito ; Barbeiro, Sílvia ; Serranho, Pedro
• Date: 2010
• Persistent ID: http://hdl.handle.net/10316/13693
• Origin: Estudo Geral - Universidade de Coimbra
• Subject(s): Finite differences; Complex diffusion; Stability
• Document Type: Preprint
• Language: English

Description

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