8:30 / Tuesday, November 7

Subdivision Schemes for the Design of Curves and Surfaces

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.

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.

Nira Dyn
School of Mathematical Sciences
Tel Aviv University, Israel

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