In this paper, we analyze the behavior of the anisotropic diffusion model of Perona and Malik (1990). The main idea is to express the anisotropic diffusion equation as coming from a certain optimization problem, so its behavior can be analyzed based on the shape of the corresponding energy surface. We show that anisotropic diffusion is the steepest descent method for solving an energy minimizat...

In this paper we extend anisotropic diffusion with a diffusion tensor to be applicable to data that is well modeled by linear models. We focus on its variational theory, and investigate simple discretizations and their performance on synthetic data fulfilling the underlying linear models. To this end, we first show that standard anisotropic diffusion with a diffusion tensor is directly linked t...

We present an anisotropic diffusion model for volumetric image filtering. Our 3D anisotropic diffusion tensor is constructed to enhance 1D features (curves) and 2D features(surfaces). Bilateral prefiltering is employed to construct more accurate anisotropic diffusion tensor. An efficient parallel implementation has been done on a PC cluster, the performance and speed-up are reported also.

This article is devoted to a new method for removing texture in images using a smoothing rotating filter is presented. The novelty of this approach resides in the association of a descriptor able to classify a pixel as a texture pixel, a homogenous region pixel or an edge pixel with an anisotropic edge detector which defines two directions used in anisotropic diffusion. This anisotropic diffusi...

We propose a new geometric multigrid solver for anisotropic image diffusion. Anisotropic diffusion in image processing has been widely accepted as a denoising method; however, the large computation times for large volumes are prohibitive for interactive exploration of the parameter space. Our approach is able to reduce computation times via a new method for restricting the anisotropic diffusion...

Anisotropic diffusion has widely been applied as a mechanism for intra region smoothing of images. The results of anisotropic diffusion can be used to obtain an enhanced image or as a precursor to higher-level processing such as shape description, edge detection, image segmentation and object identification and tracking, Although attractive in terms of edge localization and the ability to contr...

We present an anisotropic diffusion equation designed to restore interferometric images. It has two main purposes. the first is to preserve the structures and discontinuities formed by the fringes. The second is to incorporate the noise modeling which is specific to this kind of images. Besides we show that our model formalizes previous related work in interferometry filtering.