Plenary Lecture
Approximation and Interpolation of Scattered n-Dimensional Economical Data
Professor Václav Skala
Fellow of the Eurographics Association
Center of Computer Graphics and Visualization
Department of Computer Science and Engineering
Faculty of Applied Sciences
University of West Bohemia
Univerzitni 8
CZ 206 14 Plzen, Czech Republic
E-mail: skala@kiv.zcu.cz
-also with-
Department of Computer Science
Faculty of Electrical Engineering and Computer Science
VSB-Technical University of Ostrava
17.listopadu 15/2172
CZ 708 33 Ostrava-Poruba, Czech Republic
E-mail: vaclav.skala@vsb.cz
Abstract: Data approximation and interpolation is one of the most often task in economical studies and engineering. Several techniques have been developed for data approximation and interpolation, but they expect some kind of data “ordering”. In many economical problems, data are not given in an ordered way and they can be considered as scattered in n dimensional space, in general. Usually scattered data are tessellated using triangulation, tetrahedronization etc. but for n dimensional data interpolation this approach for is quite prohibitive because of the computational cost. An interesting technique is n dimensional data interpolation using Radial Basis Functions (RBF). RBF interpolation is computationally more expensive because interpolated data are not ordered, but offers quite interesting applications with acceptable computational cost.
We will shortly introduce RBF theory at the “application level” including some basic principles and computational issues. There are two main groups of interpolating functions: “global” and “local”. Application of “local” functions, called Compactly Supporting Functions-CSFBF, can significantly decrease computational cost as they lead to a system of linear equations with a sparse matrix. The RBF interpolation will be demonstrated on practical applications.
Brief Biography of the Speaker: Prof. Vaclav Skala is a Full professor of Computer Science at the University of West Bohemia, Plzen and VSB-Technical University Ostrava, Czech Republic. He received his Ing. (equivalent of MSc.) degree in 1975 from the Institute of Technology in Plzen and CSc. (equivalent of Ph.D.) degree from the Czech Technical University in Prague in 1981. In 1996 he became a full professor in Computer Science. In 1997 the Center of Computer Graphics and Visualization (CCGV) was formally established and since then he is the Head of the CCGV in Plzen (http://Graphics.zcu.cz).
Prof.Vaclav Skala is a member of editorial of The Visual Computer (Springer), Computers and Graphics (Elsevier), Machine Graphics and Vision (Polish Academy of Sciences) and the Editor in Chief of the Journal of WSCG. He is a member of several international program committees of prestigious conferences and workshops. He is a member of ACM SIGGRAPH, IEEE and Eurographics Association.
Prof.Vaclav Skala has published over 200 research papers in scientific journal and at international conferences. His current research interests are computer graphics, visualization and mathematics, especially geometrical algebra, algorithms and data structures.
Details can be found at http://www.VaclavSkala.eu