Abstract. During the last decade nonlinear anisotropic diffusion models have shown to be powerful methods not only in image processing. Moreover these methodologies can be adopted to other areas in computer vision. On the level of the continuous model one can study the qualitative aspects and properties whereas approved discretization schemes are at hand for an efficient implementation. In this...

This paper describes a novel edge-preserved smoothing method specialized for intravascular ultrasound (IVUS) image. In the proposed method, the processing of an anisotropic diffusion filter is controlled by the weighted separability of an IVUS image. The present method not only reduces a speckle noise but also enhances an edge on an IVUS image. The effectiveness of the proposed method is verifi...

We present an efficient implementation of volumetric nonlinear anisotropic image diffusion on modern programmable graphics processing units (GPUs). We avoid the computational bottleneck of a time consuming eigenvalue decomposition in R. Instead, we use a projection of the Hessian matrix along the surface normal onto the tangent plane of the local isodensity surface and solve for the remaining t...

In this paper we propose two algorithms of super resolution techniques. We introduce the Iterative Back Projection (IBP) algorithm in the case of deblurring images and second algorithm consist an edge-enhancing superresolution algorithm using anisotropic diffusion technique. Because we solve the super-resolution problem by incorporating anisotropic diffusion and IBP, these techniques does more ...

Anisotropic diffusion is a powerful method for image feature extraction in which blurring is allowed to occur except at edges. Mean field annealing (MFA) is an image optimization technique which is used to find the best estimation of a blurred, noisy corrupted image. In this paper, we will show that MFA is versatile enough to be used for image feature extraction as well. Furthermore, the two ma...

we consider the numerical approximation of a singularly perturbed reaction-diffusion problem over a square. Two different. approaches are compared namely: adaptive isotropic mesh refinement and anisotropic mesh refinement. Thus, we compare the h-refinement and the Shishkin mesh approaches numerically with PLTMG software [l]. It is shown how isotropic elements lead to over-refinement. and how an...

Linear theory of the ablative Rayleigh-Taylor instability in anisotropic diffusive materials is presented. This analysis indicates that enhancing diffusion in a plane transverse to the mean longitudinal flow can strongly reduce the growth of the instability. In the context of inertial confinement fusion, it is shown that anisotropic diffusion can be achieved using a laminated ablator made of su...

This paper is dedicated to a brain magnetic resonance images regularization method, preserving grey/white matter edges using rotating smoothing filters. After a preprocessing, the originality of this approach resides in the mixing of ideas coming both from pixel classification which determines roughly if a pixel belongs to a homogenous region or an edge and an anisotropic edge detector which co...

To alleviate excessive smoothing of high signal-to-noise ratio (SNR) regions which are correspond to the structural features of MR images by using classical anisotropic diffusion (AD) filter. A novel AD filter called SNR controlled anisotropic diffusion is proposed. In this filter, an adaptive diffusivity function which is based on the correction factor of MR images was constructed. This adapti...

We present super-resolution methods that enhance image contrast and perform anisotropic diffusion simultaneously. Since we solve the super-resolution problem by encouraging Mach-band profiles while incorporating anisotropic diffusion, our technique not only reconstructs a high-resolution image from several overlapping noisy low-resolution images, but also enhances edges and image contrast while...