Contents Preface ix 1. Wavelet and frame transforms originated from continuous and discrete splines, Amir Z. Averbuch and Valery A. Zheludev 1 1.1. Introduction 1 1.2. Preliminaries 4 1.3. Prediction filters originated from splines 9 1.4. Biorthogonal wavelet transforms generated by filter banks with downsampling factor N = 2 (diadic transforms) 17 1.5. Application of spline-based wavelet trans...

The traffic surveillance system is a type of intelligent control. Traffic control provides solutions to most problems faced by people. It helps monitor, detect congestion and accidents. As science evolved, it became possible using video surveillance. Video the economical option that does not involve high costs or changes in infrastructure. Vehicle detection one main parts system. In this paper,...

Image compression is the important task for the medical images. Economic and effective image compression techniques are hardly required to minimize the storage volume of medical database in hospitals as well as maintaining the image quality. But the transmission and storage of such a large data could be a tedious job. There are various methods to encrypt the images while transmission. In this r...

The large number of rear end collisions due to driver inattention has been identified as a major automotive safety issue. In this paper, we describe a 3-phase vehicle tracking methodology with a single moving camera mounted on the driver’s automobile as input for use in detecting rear vehicles on highways and city streets. In the first phase, vehicle detection, a rear vehicle is detected by sym...

The DDHFm package is designed to perform data-driven Haar-Fisz (DDHF) variance stabilization. The basic DDHF method itself is described in [4, 5]. The modifications to DDHF to make it work successfully for microarray (or indeed similar kinds of replicate data) are described in [10]. The basic idea of the Haar-Fisz transform is very simple. First, a Haar wavelet transform is applied to the data....

Wavelets are mathematical tools for hierarchically decomposing functions. Wavelet Transform has been proved to be a very useful tool for image processing in recent years. It allows a function which may be described in terms of a coarse overall shape, plus details that range from broad to narrow. The most distinctive feature of Haar Transform lies in the fact that it lends itself easily to simpl...

Abstract. In the paper, a new original procedure for the evaluation of discrete Haar spectra for separate fragments (blocks) of a digital image is proposed. The procedure explores specific properties of Haar wavelets, refers to the assumption that Haar spectrum of the whole image is known, and is much faster than direct evaluation of Haar spectral coefficients for the respective image blocks. I...

Haar wavelets have been widely used in Biometrics. One advantage of Haar wavelets is the simplicity and the locality of their decomposition and reconstruction filters. However, Haar wavelets are not satisfactory for some applications due to their non-continuous behaviour. Having a particular level of smoothness is important for many applications. B-spline wavelets are capable of being applied t...

We define a motivic analogue of the Haar measure for groups of the form G(k((t))), where k is an algebraically closed field of characteristic zero, and G is a reductive algebraic group defined over k. A classical Haar measure on such groups does not exist since they are not locally compact. We use the theory of motivic integration introduced by M. Kontsevich to define an additive function on a ...

Modified sign Haar transform with sign Walsh-like structure is introduced in this article. This nonlinear transform converts binary/ternary vectors into digital spectral domain and is invertible. Recursive definitions for the calculation of this transform have been developed. The properties of logic functions and variables in the spectral domain of the modified sign Haar transform are presented.