we construct a family of two parameter quantum grou-ps‎ ‎$u_{r,s}(mathfrak{g})$ associated with a generalized kac-moody‎ ‎algebra corresponding to symmetrizable admissible borcherds cartan‎ ‎matrix‎. ‎we also construct the $textbf{a}$-form $u_{textbf{a}}$ and‎ ‎the classical limit of $u_{r,s}(mathfrak{g})$‎. ‎furthermore‎, ‎we‎ ‎display the equitable presentation for a subalgebra‎ ‎$u_{r,s}^{b-...

We are developing three-dimensional imaging methods to portray vascular anatomy better, including noise-free display of vessels extracted from 3-D data sets, tree-based display, and reconstruction of angiographic data (preliminary work has resulted in the successful reconstruction of aneurysms from angiographic data). Fast, interactive display permits real-time manipulation of viewing orientation.

The rapid continuing development of 3-dimensional ultrasound imaging technologies has extended capabilities of fetal cardiac scanning beyond 2-dimensional imaging technologies and now provides a wide array of analytic possibilities. The acquisition of the 3D volume information is based on initial application of 2-dimensional imaging techniques including grey scale, Doppler, Power Doppler and B-...

Analysis of high dimensional data is a research area since many years. Analysts can detect similarity of data points within a cluster. Subspace clustering detects useful dimensions in clustering high dimensional dataset. Visualization allows a better insight of subspace clusters. However, displaying such high dimensional database clusters on the 2-dimensional display is a challenging task. We p...

This paper investigates a method of visualising internet traffic data using the underlying spherical nature of the globe. The method uses data about the traffic between Autonomous Systems (ASes) that are the communications on the public internet system. This data is displayed as a set of nodes with connecting edges overlaying the threedimensional spherical world map. This allows for the display...

We introduce a novel two-degree-of-freedom haptic display capable of reproducing the sensation of sliding contact on a fingertip. The modular device can be attached to a PHANTOM haptic interface and generates tactile sensations by actuating a ball positioned under the user’s index finger. Specifications for the device and mechanical design considerations are presented. Integration of the slip d...