Alexander A. Pasko

Professor, National Centre for Computer Animation, Bournemouth University, UK

Background Data

Alexander Pasko graduated from Moscow Engineering Physics Institute (MEPhI) in Russia in 1983 and received a PhD degree in 1988. He was a senior researcher at MEPhI from 1988 to 1992; an assistant professor at the University of Aizu, Japan (from 1993 to 2000); associate and full professor at the Faculty of Computer and Information Sciences of the Hosei University in Tokyo, Japan (from 2000 to 2007).

Research/Educational Interests

Research Description

Geometric images are probably the eldest product of the human brain. In modern logically-oriented life it is extremely important to keep and develop this ability. I am convinced that outstanding achievements in science and technology can only be attained in the balance of logic and geometric reasoning.

There are many ways of modeling geometry by means of computer. We try to find an approach dealing with geometric objects in the most simple and uniform style. Thus, function representation (FRep) of geometric objects has been introduced with set-theoretic operations based on the theory of R-functions developed by Russian mathematicians. This representation is independent of the space dimension. That is why time-dependent or animated objects can be described in the same manner, with time being considered as one of the coordinates of space-time. Many unusual geometric operations like blending, metamorphosis and even "hair growing" can be functionally described. Sometimes it seems we now have "experimental geometry" by analogy with experimental physics, where new results usually have to be explained from the theoretical point of view. This becomes even more complex when dealing with volumetric and multidimensional models. By using more powerful parallel computers and by adding intellect to artificial actors we will get an instrument for future creative work in art and design, medicine and industry.

FRep Home Page presents descriptions of selected research topics, list of publications, images, and animations.
HyperFun project provides tools for FRep modeling using HyperFun language.

Selected Publications

Last modified January 25, 2011
e-mail: pasko at acm dot org