Interval Methods for Computer Graphics and Geometric Modeling

Speaker:  Luiz Henrique de Figueiredo  (IMPA, Brazil)

I'll give a brief survey of the use of interval methods in computer graphics. I'll discuss the application of interval and affine arithmetic to problems in rendering and modeling, such as the approximation of implicit curves and surfaces; the computation of offsets, bisectors, and medial axes of parametric curves; ray and beam casting of implicit surfaces; hierarchical approximation of parametric curves; and the intersection of parametric surfaces.

Bio: Luiz Henrique de Figueiredo is a professor at IMPA, the Institute of Pure and Applied Mathematics in Rio de Janeiro, and a member of Visgraf, the Vision and Graphics laboratory. His main research interests are in computational mathematics, mainly numerical methods

for geometric modeling and computer graphics, and especially applications of interval methods using affine arithmetic. He is also interested in programming languages and is one of the designers of the Lua programming language.