-
Abstract
In this paper, a theoretical framework for the conditional diffusion of digital
images is presented. Different approaches have been proposed to solve this
problem by extrapolating the idea of the anisotropic diffusion for a grey level
images to vector-valued images. Then, the diffusion of each channel is
conditioned to a direction which normally takes into account information from
all channels. In our approach, the diffusion model assumes the a priori
knowledge of the diffusion direction during all the process.
The consistency of the model is shown by proving the existence and uniqueness
of solution for the proposed equation from the viscosity solutions theory. Also
a numerical scheme adapted to this equation based on the neighborhood filter is proposed.
Finally, we discuss several applications and we compare the corresponding
numerical schemes for the proposed model.
Mathematics Subject Classification: Primary: 68U10, 35K65.
\begin{equation} \\ \end{equation}
-
Access History
-
{{journal.titleEn}} 
DownLoad: