This paper presents an effective compressed multiresolution model for interactive large-scale terrain rendering. In contrast to previous approaches, our model enables construction of adaptive terrain triangulation that takes into account local surface features and, at the same time, supports compact representation of the elevation data. The model enables fast extraction of the certain terrain a...

If the locally compact abelian group G has a finitedimensional unitary irreducible projective representation with factor system co (i.e. G has an a>-rep), then a subgroup G(co) is defined which fulfils three roles. First, the square-root of the index of G(u)) in G is the dimension of every co-rep. Secondly, the co-reps of G can be labelled by the dual group of G(co), up to unitary equivalence. ...

We investigate the spin-statistics connection in arbitrary dimensions for hermitian spinor or tensor quantum fields with a rotationally invariant bilinear Lagrangian density. We use essentially the same simple method as for space dimension D = 3. We find the usual connection (tensors as bosons and spinors as fermions) for D = 8n + 3, 8n + 4, 8n + 5, but only bosons for spinors and tensors in di...

Let K/F be a quadratic extension of p-adic fields, and n a positive integer. A smooth irreducible representation of the group GL(n, K) is said to be distinguished, if it admits on its space a nonzero GL(n, F )-invariant linear form. In the present work, we classify distinguished generic representations of the group GL(n, K) in terms of inducing quasi-square-integrable representations. This has ...

We present a system for distributed rendering of large and detailed virtual worlds. A cluster of servers create and maintain a hierarchical representation of the world that can be propagated to an unlimited number of clients through a content-distribution network. The preprocessing is easy to parallelize and storage requirements are minimal. Using a small subset of the representation, a client ...

This paper describes two methods for increasing the throughput of an adaptive Decision Feedback Equaliser (DFE) using the LMS training algorithm. In the first method, a signed power-oftwo number representation is used for the equaliser input data. Using this number representation, all multipliers can be replaced with barrel shifters and adders. In the second method, the Delayed Least Mean Squar...

In this paper, a non-uniform number representation and filter transformation techniques are used to increase the throughput rate of a Decision Feedback Equaliser (DFE). The DFE input data is non-uniformly quantised and represented by a signed power-of-two (SPT) number. Using this number representation, multipliers can be replaced with barrel shifters and adders. The mean quantisation noise powe...

An algorithm is designed for the histogram representation of an image, subsequent detection of Salt and Pepper (SP) noise in the image and finally the restoration of the image from this noise. The image is first represented as histogram, then fuzzy rule are applied on this. The images taken up for experimental analyses are subjected to the fuzzy based filter for SP noise removal. The proposed a...

Together with Cogdell, Piatetski-Shapiro and Shahidi, we proved earlier the existence of a weak functorial lift of a generic cuspidal representation of SO2n+1 to GL2n. Recently, Ginzburg, Rallis and Soudry obtained a more precise form of the lift using their integral representation technique, namely, the lift is an isobaric sum of cuspidal representations of GLni (more precisely, cuspidal repre...

Starting with the representation of the Wilson average in the Euclidean 4D compact QED as a partition function of the Universal Confining String Theory (UCST), we derive for it the corresponding loop equation, alternative to the familiar one. In the functional momentum representation the obtained equation decouples into two independent ones, which describe the dynamics of the transverse and lon...