For Gorenstein quotient spaces C/G, a direct generalization of the classical McKay correspondence in dimensions d ≥ 4 would primarily demand the existence of projective, crepant desingularizations. Since this turned out to be not always possible, Reid asked about special classes of such quotient spaces which would satisfy the above property. We prove that the underlying spaces of all Gorenstein...

In this paper we show how based on a number of different techniques it is possible to fully automatically generate basic ingredients for high quality visualizations of urban areas characterized by vertical facade planes from nothing but uncalibrated wide-baseline image sequences without using any markers or ground control. At the core of our algorithms are least-squares matching, projective geo...

It is well known that a Severi–Brauer surface has a rational point if and only if it is isomorphic to the projective plane. Given a Severi–Brauer surface, we study the problem to decide whether such an isomorphism to the projective plane, or such a rational point, does exist; and to construct such an isomorphism or such a point in the affirmative case. We give an algorithm using Lie algebra tec...

Using 4D, N = 1 superfield techniques, a discussion of the 6D sigmamodel possessing simple supersymmetry is given. Two such approaches are described. Foremost it is shown that the simplest and most transparent description arises by use of a doublet of chiral scalar superfields for each 6D hypermultiplet. A second description that is most directly related to projective superspace is also present...

We present a very robust and efficient scheme for 3-D reconstruction from point correspondences over multiple images taken by uncalibrated cameras. Our method is based on iterative projective reconstruction followed by Euclidean upgrading. We accelerate the time-consuming iterations for projective reconstruction by using the power method for eigenvalue computation, accelerating the power method...

For Gorenstein quotient spaces C d =G, a direct generalization of the classical McKay correspondence in dimensions d 4 would primarily demand the existence of projective, crepant desingularizations. Since this turned out to be not always possible, Reid asked about special classes of such quotient spaces which would satisfy the above property. We prove that the underlying spaces of all Gorenstei...

Geometric algebra is an universal mathematical language which provides very comprehensive techniques for analyzing the complex geometric situations occurring in artiicial Perception Action Cycle systems. In the geometric algebra framework such a system is both easier to analyze and to control in real time computations. This paper describes the application of rotors and motors for tasks involvin...

We describe a method for computing presentations of cohomology rings of small finite p-groups. The description differs from other accounts in the literature in two main respects. First, we suggest some techniques for improving the efficiency of the obvious linear algebra approach to computing projective resolutions over a group algebra. Second, we use an implementation of the multiplicative str...

This paper describes the work undertaken by our group on RT{based and projective{based parallel algorithms for direct volume visualization. It introduces the reader to direct visualization techniques and describes the parallel solutions we have designed to increase the interactivity of volume rendering. Image synthesis time is a critical issue for volume rendering techniques, because the practi...

The authors discuss the application of classical filtering techniques to problem discrete projective measurements in quantum systems, and demonstrate that theoretical basis nonlinear applies this context. results may pave way for broader adoption control-theoretic technology.