A low level image processing, for examples, image denoising and finding a local structure in an image, is one of essential processes in computer vision. The nonlinear structure tensor [1] based on an anisotropic nonlinear diffusion processes has shown its capability for presenting useful information of an image, such as homogeneous regions, edges, and corners. The diffusion process to obtain a ...

It has proved that nonlinear diffusion and bilateral filtering (BF) have a closed connection. Early effort and contribution are to find a generalized representation to link them by using adaptive filtering. In this paper a new further relationship between nonlinear diffusion and bilateral filtering is explored which pays more attention to numerical calculus. We give a fresh idea that bilateral ...

It has proved that nonlinear diffusion and bilateral filtering (BF) have a closed connection. Early effort and contribution are to find a generalized representation to link them by using adaptive filtering. In this paper a new further relationship between nonlinear diffusion and bilateral filtering is explored which pays more attention to numerical calculus. We give a fresh idea that bilateral ...

This paper discusses the extension of nonlinear diffusion filters to higher derivative orders. While such processes can be useful in practice, their theoretical properties are only partly understood so far. We establish important results concerning L-stability and forwardbackward diffusion properties which are related to well-posedness questions. Stability in the L-norm is proven for nonlinear ...

An asymptotic limit of a class of Cahn–Hilliard systems is investigated to obtain a general nonlinear diffusion equation. The target diffusion equation may reproduce a number of well-known model equations: Stefan problem, porous media equation, Hele-Shaw profile, nonlinear diffusion of singular logarithmic type, nonlinear diffusion of Penrose–Fife type, fast diffusion equation and so on. Namely...

In this paper we investigate the effects of broadband infrastructure providing high speed internet, on economic growth in developing countries. We have used two different broadband measures to classify developing countries into two groups for the period 1999-2008. By using logistic diffusion model and IV approach, a nonlinear diffusion model is specified. Differences in ceiling of diffusion cur...

Nonlinear anisotropic diffusion filtering is a procedure based on nonlinear evolution partial differential equations which seeks to improve images qualitatively by removing noise while preserving details and even enhancing edges. However, well known implementations are sensitive to parameters which are necessarily tuned to sharpen a narrow range of edge slopes; otherwise, edges are either blurr...

Abstract We consider a prototypical nonlinear parabolic equation whose flux has three distinguished features: it is with respect to both the unknown and its gradient, homogeneous, depends only on direction of gradient. For such equation, we obtain existence uniqueness entropy solutions Dirichlet problem, homogeneous Neumann Cauchy problem. Qualitative properties solutions, as finite speed propa...