In this paper we explore the connection between anisotropic Gaussian fluctuations and isotropic non-Gaussian fluctuations. We first set up a large angle framework for characterizing non-Gaussian fluctuations: large angle non-Gaussian spectra. We then consider anisotropic Gaussian fluctuations in two different situations. Firstly we look at anisotropic space-times and propose a prescription for ...

Approximate boundary relations on general anisotropic sheets of arbitrary shape as well as the special case when they are backed by a perfect electrical conductor are investigated based on a generalization of the procedure introduced by İdemen in 1993 for uniaxially anisotropic planar sheets to general anisotropic and arbitrarily shaped surfaces. The ranges of validity of the approximations in ...

Relations between anisotropic diffusion and robust statistics are described in this paper. Specifically, we show that anisotropic diffusion can be seen as a robust estimation procedure that estimates a piecewise smooth image from a noisy input image. The "edge-stopping" function in the anisotropic diffusion equation is closely related to the error norm and influence function in the robust estim...

Relations between anisotropic diffusion and robust statistics are described in this paper. Specifically, we show that anisotropic diffusion can be seen as a robust estimation procedure that estimates a piecewise smooth image from a noisy input image. The “edge-stopping” function in the anisotropic diffusion equation is closely related to the error norm and influence function in the robust estim...

Anisotropic meshes are triangulations of a given domain in the plane or in higher dimensions, with elements elongated along prescribed directions. Anisotropic triangulations have been shown to be particularly well suited for interpolation of functions or numerical modeling. We propose a new approach to anisotropic mesh generation, relying on the notion of locally uniform anisotropic mesh. A loc...

There are many ways to solve potential problems for anisotropic mixtures. The nite element method is a popular choice with great exibility that gives the solution in the entire computational domain. EEective medium approximation is a simpler option that only estimates eeective properties. Interface integral equation methods is a third class of methods that has been studied for a long time, but ...

the physical and chemical properties of pyrazole and pyrazoline molecules were theoreticallystudied by gaussian 03, software with nmr and molecular orbital calculations at b3lyp/6-31g andb3lyp/6-31+g(d) levels, in gas phase and solution. in this study a comparison effect of threesolvents with different dielectric constants on pyrazole and pyrazoline molecules in aspect energyinteraction between...

Uniaxial optical anisotropy in the geometrical-optics approach is a classical problem and most of the theory is known for at least fifty years. Although the subject appears frequently in the literature, it is nearly silent about wave propagation through inhomogeneous anisotropic media. At the same time, the rapid advances in liquid-crystal lenses call for a good overview of the theory on wave p...

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...

Lattice QCD is expected to provide the opportunity of precise evaluation for weak matrix elements associated with B mesons from first principles. The main obstacle on the way is the systematic errors originating from large mba errors. At present this difficulty is avoided in most cases by employing the nonrelativistic approaches[1,2]. On the other hand, the use of anisotropic lattice[3] has a f...