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 ...

A novel and effective method based on Haar wavelets and Block Pulse Functions (BPFs) is proposed to solve nonlinear Fredholm integro-differential equations of fractional order. The operational matrix of Haar wavelets via BPFs is derived and together with Haar wavelet operational matrix of fractional integration are used to transform the mentioned equation to a system of algebraic equations. Our...

An approximate equivalence checking method is developed based on the use of partial Haar spectral diagrams (HSDs). Partial HSDs are defined and used to represent a subset of the Haar spectral coefficients for two functions. Due to the uniqueness properties of the Haar transform, a necessary condition for equivalence is that the individual coefficients must have the same value. The probability t...

A method for seamless stitching of images with photometric inconsistencies in the overlapping region is presented. The method is based on generating a set of stitched gradients from the gradients of the input images and then reconstructing the mosaic image using the Haar wavelet integration technique of [11], [12]. This O(N) reconstruction technique is based on obtaining the Haar wavelet decomp...

The aim of the present paper is to investigate series representations of the Riemann–Liouville process R, α > 1/2, generated by classical orthonormal bases in L2[0,1]. Those bases are, for example, the trigonometric or the Haar system. We prove that the representation of R via the trigonometric system possesses the optimal convergence rate if and only if 1/2 < α ≤ 2. For the Haar system we have...

OPSOMMING Die vroedvrou lewer deur die eeue been haar diens aan die gemeenskap en haar rol het saam met die mediese wetenskap ontwikkel. Navorsing is gedoen oor die hedendaagse rol van die vroedvrou in Suid-Afrika. Daar is bevind dat sy in die lewering van omvattende gesondheidsorg die geneesheer aanvul. Sy het voorkomende, koordinerende, terapeutiese, versorgings, opvoedings, besluitnemings en...

Footprint identification is the measurement of footprint features for recognizing the identity of a user. Footprint is universal, easy to capture and does not change much across time. Footprint biometric system does not require specialized acquisition devices. Footprint image of a left leg is captured for hundred people in different angles. No special lighting is used in this setup. The foot im...

in this article,we present a wavelet method for solving stochastic volterra integral equations based on haar wavelets. first, we approximate all functions involved in the problem by haar wavelets then, by substituting the obtained approximations in the problem, using the it^{o} integral formula and collocation points then, the main problem changes into a system of linear or nonlinear equation w...