We present a technique for derandomising large deviation bounds of functions on the unitary group. We replace the Haar distribution with a pseudo-random distribution, a k-design. kdesigns have the first k moments equal to those of the Haar distribution. The advantage of this is that (approximate) k-designs can be implemented efficiently, whereas Haar random unitaries cannot. We find large devia...

This paper presents a method for solving the problem of global illumination for general environments, using projection of the radiance function on a set of orthonormal basis functions. Wavelet scaling functions form this basis set. The highlights of the paper are : it (i) points out the di culty associated with the straightforward projection of the integral operator associated with the radiance...

A novel method proposes for human machine communication using ARM Cortex A-8 processor. Gesture is a form of non-verbal communication in which visible bodily actions communicate particular messages. A novel method proposes for human-machine communication via gesture. The real time system employs a USB web camera, Beagle board XM and HDMI Monitor. Web cam for capturing sequence of image to handl...

I present a method for producing estimates of the intensity function of certain `burst-like' inhomogeneous Poisson processes, based on the shrinkage of Haar wavelet coe cients of the observed counts. The Haar basis is a natural wavelet basis in which to work in this context, and I derive thresholds for shrinkage estimation based on the distribution of the coe cients. The translation-invariant d...

In this paper, an efficient numerical scheme based on uniform Haar wavelets and the quasilinearization process is proposed for the numerical simulation of time dependent nonlinear Burgers’ equation. The equation has great importance in many physical problems such as fluid dynamics, turbulence, sound waves in a viscous medium etc. The Haar wavelet basis permits to enlarge the class of functions ...

We exhibit almost periodic potentials such that the corresponding SchrGdinger operators in the space of all square Haar-integrable functions on the Bohr compac-tilication of Iw have a point in the spectrum which is not an eigenvalue.