Virtual Fekete point configurations: a case study in perturbing complex systems

Author

Van Liere, Robert ; Mulder, Jurriaan ; Frank, Jason ; De Swart, Jacques

Author_Institution

Center for Math. & Comput. Sci., CWI, Amsterdam, Netherlands

fYear

2000

fDate

2000

Firstpage

189

Lastpage

195

Abstract

Virtual environments have shown great promise as a research tool in science and engineering. In this paper, we study a classical problem in mathematics: that of approximating globally optimal Fekete point configurations. We found that a highly interactive virtual environment, combined with a time-critical computation, can provide valuable insight into the symmetry and stability of Fekete point configurations. We believe that virtual environments provide more natural interfaces to complex systems, allowing users to perceive, interpret and interact with the problem more rapidly

Keywords

data visualisation; engineering graphics; large-scale systems; mathematics computing; optimisation; perturbation techniques; stability; symmetry; virtual reality; Fekete point configurations; case study; complex system perturbation analysis; explorative visualization; globally optimal approximation; interactive virtual environment; mathematics; natural interface; problem interpretation; problem perception; stability; symmetry; time-critical computation; Computer aided software engineering; Computer science; Data mining; Data visualization; Iron; Mathematics; Stability; Testing; Time factors; Virtual environment;

fLanguage

English

Publisher

ieee

Conference_Titel

Virtual Reality, 2000. Proceedings. IEEE

Conference_Location

New Brunswick, NJ

ISSN

1087-8270

Print_ISBN

0-7695-0478-7

Type

conf

DOI

10.1109/VR.2000.840498

Filename

840498