Title :
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
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;
Conference_Titel :
Virtual Reality, 2000. Proceedings. IEEE
Conference_Location :
New Brunswick, NJ
Print_ISBN :
0-7695-0478-7
DOI :
10.1109/VR.2000.840498