An extended set of Haar-like features for image sensors beyond the standard vertically and horizontally aligned Haar-like features and the 45o twisted Haar-like features are introduced. The extended rotated Haar-like features are based on the standard Haar-like features that have been rotated based on whole integer pixel based rotations. These rotated feature values can also be calculated using...

The set U(n) of n × n unitary matrices forms a compact topological group with respect to the matrix multiplication and the usual topology, therefore there exists a unique (up to the scalar multiplication) translation invariant measure on U(n), the so-called Haar measure. We will consider a random variable Un which maps from a probability space to U(n), and take its values uniformly from U(n), i...

It is shown that continuity of a family of invariant (Haar) measures on a topological groupoid G is equivalent to the continuity of the implied convolution product f * g for all pairs of functions / and g. An example is given of a groupoid which admits no (continuous) Haar measure. It results, therefore, that the usual C*-algebra associated with a Haar measure on G cannot, in general, be constr...

<div>This project investigates the use of face recognition for a surveillance system. The normal video system uses in closed-circuit television (CCTV) to record security purpose. It is used identify identity person through their appearances on recorded video, manually. Today’s camera usually not occupied with With some modification, can be as detection and that done real-time. proposed ma...

we present here the numerical solution of damped forced oscillator problem using haar wavelet and compare the numerical results obtained with some well-known numerical methods such as runge-kutta fourth order classical and taylor series methods. numerical results show that the present haar wavelet method gives more accurate approximations than above said numerical methods.

This paper develops an on-line identification algorithm to estimate system parameters of non-linear continuous time systems. The algorithm, based on Haar wavelet expansions, uses the observed input-output data to estimate unknown system parameters. A recursive formula augmented with indirect matrix-inversion schemes is proposed to substantially reduce computation requisites of an existed offlin...

In this study, the thermal performance analysis of porous fin with temperature-dependent thermal conductivity and internal heat generation is carried out using Haar wavelet collocation method. The effects of various parameters on the thermal characteristics of the porous fin are investigated. It is found that as the porosity increases, the rate of heat transfer from the fin increases and the th...

Parallel magnetic resonance imaging (pMRI) is a technique to accelerate the magnetic resonance imaging process. The problem of reconstructing an image from the collected pMRI data is ill-posed. Regularization is needed to make the problemwell-posed. In this paper, we first construct a 2-dimensional tight framelet system whose filters have the same support as the orthogonal Haar filters and are ...