A novel approach for bidimensional empirical mode decomposition (BEMD) is proposed in this paper. BEMD decomposes an image into multiple hierarchical components known as bidimensional intrinsic mode functions (BIMFs). In each iteration of the process, two-dimensional (2D) interpolation is applied to a set of local maxima (minima) points to form the upper (lower) envelope. But, 2D scattered data...

This paper presents a new motion and edge adaptive de-interlacing algorithm, which is efficient and artifacts-free. It is novel in the sense that it introduces a way to properly interpolate the two (odd and even) field images according to the information provided by the simplest form of motion detection and edge orientation estimation methods. The proposed algorithm was evaluated by three video...

in this paper, an adaptive physics-based method is developed for solving wave motion problems in one dimension (i.e., wave propagation in strings, rods and beams). the solution of the problem includes two main parts. in the first part, after discretization of the domain, a physics-based method is developed considering the conservation of mass and the balance of momentum. in the second part, ada...

We consider the solution of a second order elliptic PDE with inhomogeneous Dirichlet data by means of adaptive lowest-order FEM. As is usually done in practice, the given Dirichlet data are discretized by nodal interpolation. As model example serves the Poisson equation with mixed Dirichlet-Neumann boundary conditions. For error estimation, we use an edge-based residual error estimator which re...

Most of the digital cameras used now has single sensor with an array of color filters to capture the digital images. Color Filter Array (CFA) uses alternating color filters to sample only one color of a pixel location to reduce the price. In the entire image, only one third of sampled pixels have genuine values from the sensors. Remaining pixels are interpolated from these genuine values. In th...

The key to the success of a variational mesh adaptation method is to define a proper monitor function which controls mesh adaptation. In this paper we study the choice of the monitor function for the variational adaptive mesh method developed in the previous work [J. Comput. Phys. 174 (2001) 924]. Two types of monitor functions, scalar matrix and non-scalar matrix ones, are defined based on asy...

Thin plate splines provide smooth interpolation of the given data in two or more dimensions. These are analogous to cubic splines in one dimension. The main objectives of this report is to provide an implementation of the thin plate spine interpolation of data using various efficient methods and to investigate the possibility of using thin plate splines in adaptive optics. In this report, we co...

In this paper, a pilot-assisted channel estimation using adaptive interpolation (in which, different interpolation filter tap weights is used for different symbol position) is proposed. Each set of tap weights is updated using the normalized least mean square (NLMS) algorithm, the reference signal for which is obtained by decision feedback and reverse modulation of the received data symbol. In ...