8:30 / Tuesday, November 7
Subdivision schemes were introduced as a tool for efficient
computation of spline curves and surfaces, and now constitute an
independent subject with many applications. They are used for
developing new methods for the generation of smooth curves and
surfaces from given control points, for approximation of
univariate and multivariate functions, and for generating
wavelets and spaces of multiresolution analysis.
Subdivision Schemes for the Design of Curves and Surfaces
In this talk, the speaker will present several classes of
subdivision schemes for intepolation and\or shape-preservation.
The speaker will emphasize interpolatory schemes with shape
control, discuss geometrical operations on surfaces designed by
such schemes, and demonstrate the advantage of nonstationary
schemes over the stationary ones together with their applications
to multiresolution analysis and to wavelets.
School of Mathematical Sciences
Tel Aviv University, Israel