In this paper we analyze the error as well for semi-discretization full discretization of a time-dependent convection-diffusion problem. We use in space local discontinuous Galerkin (LDG) method on class layer-adapted meshes including Shishkin-type and Bakhvalov-type implicit θ-scheme time. For piecewise tensor-product polynomials degree k obtain uniform or almost estimates with respect to orde...

This paper presents a new lossless interframe coding scheme for Magnetic Resonance (MR) images. The existing schemes, like block matching method and uniform meshbased scheme, are inadeqaute to model the motion field of MR sequence. The above schemes use uniform mesh elements which may comprise multiple motions. We propose a scheme consisting of (a) content-based mesh generation (b) forward moti...

Abstract: Matching 3D objects by their similarity is a fundamental problem in computer vision, multimedia databases, molecular biology, computer graphics and a variety of other fields. A challenging aspect of this problem is to find a suitable shape signature/descriptor that can be constructed and compared quickly, while still discriminating between similar and dissimilar shapes. We find that t...

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...

In this work we study the convergence of the fixed pivot techniques (Kumar and Ramkrishna, 1996, Chem. Eng. Sci., 51, 1311-1332) for breakage problems. In particular, the convergence is investigated on four different types of uniform and non-uniform meshes. It is shown that the fixed pivot technique is second order convergent on a uniform and non-uniform smooth meshes. Furthermore, it gives fir...

This present study, proposes a new 3D face correspondence method. A uniform mesh re-sampling algorithm is combined with mesh simplification algorithm to make correspondence between vertices of prototypical 3D faces. Uniform mesh re-sampling algorithm is developed to obtain the same topology between 3D faces with different structures. A global error metrics is proposed and mesh simplification is...

Abstract. In this paper we present a hybrid finite difference scheme on a piecewise uniform mesh for a class of Black-Scholes equations governing option pricing which is path-dependent. In spatial discretization a hybrid finite difference scheme combining a central difference method with an upwind difference method on a piecewise uniform mesh is used. For the time discretization, we use an impl...