Stability of finite difference schemes for complex diffusion processes

• Autor(es): Araújo, Adérito ; Barbeiro, Sílvia ; Serranho, Pedro
• Data: 2010
• Identificador Persistente: http://hdl.handle.net/10316/13693
• Origem: Estudo Geral - Universidade de Coimbra
• Assunto(s): Finite differences; Complex diffusion; Stability
• Tipo de Documento: Preprint
• Idioma: Inglês

Descrição

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