Problem statement: Fast and accurate interpolation and resizing of images and video frames is a much sought after research area in multimedia applications. The more accurate schemes are computationally expensive and require more time for execution. We proposed here Discrete Wavelet Transform (DWT) using lifting scheme as an accurate and computationally inexpensive interpolation technique for im...

High Resolution images can be reconstructed from several blurred, noisy and aliased low resolution images using a computational process know as super resolution reconstruction. Multi-frame super resolution reconstruction is the process of combining several low resolution images into a single higher resolution image. Super resolution reconstruction consists of registration, restoration and inter...

Many media processors which support SIMD (Single Instruction Multiple Data) instructions have been widely used for digital signal processing and multimedia applications. In particular, a set of SIMD instructions is very effective in video applications which require both simple operations and short data types, mostly 8-bit or 16-bit samples. This paper proposes the fast quarter-pixel interpolati...

Dynamic systems in many branches of science and industry are often perturbed by various types of environmental noise. Analysis of this class of models are very popular among researchers. In this paper, we present a method for approximating solution of fractional-order stochastic delay differential equations driven by Brownian motion. The fractional derivatives are considered in the Caputo sense...

In this paper we address the problem of producing an enlarged picture from a given digital image (zooming). We propose a method that tries to take into account information about discontinuities or sharp luminance variations while doubling the input picture. This is realized by a multiple scan of the zoomed image and could hence be implemented with limited computational resources. The algorithm ...

We give new improvements to the Chudnovsky-Chudnovsky method that provides upper bounds on the bilinear complexity of multiplication in extensions of finite fields through interpolation on algebraic curves. Our approach features three independent key ingredients: • We allow asymmetry in the interpolation procedure. This allows to prove, via the usual cardinality argument, the existence of auxil...

Terrain is an ordered surface where locations relate to each other through their elevations. Preservation of this topographic orderliness by an interpolation method so that “if point A is higher than point B in the terrain, the interpolated elevation of A remains higher” is important to assure the practical value of the resultant DEM. Based on the concepts in group theory, this paper points out...

This article deals with the asymptotic behavior of two-dimensional inviscid Boussinesq equations a damping term in velocity equation. Precisely, we provide time-decay rates smooth solutions to that system. The key ingredient is careful analysis Green kernel linearized problem Fourier space, combined bilinear estimates and interpolation inequalities for handling nonlinearity.