Approximation theory has evolved from classical work by Chebyshev, Weierstrass and Bernstein into an area that combines a deep theoretical analysis of approximation with insights leading to the invention of new computational techniques. Such invaluable tools of modern computation as orthogonal polynomials, splines, finite elements, Bézier curves, NURBS, radial basis functions, wavelets and subdivision surfaces have been developed and analysed with the prominent help of ideas coming from approximation theory.
The workshop is devoted to the approximation of functions of two or more variables. This area has many challenging open questions and its wide variety of applications includes problems of computer aided design, mathematical modelling, data interpolation and fitting, signal analysis and image processing.
The focus will be on the following research topics:
• Approximation and interpolation with multivariate polynomials, splines, and radial basis functions.
• Linear and non-linear subdivision.
• Adaptive and multiresolution methods of approximation.
• Shape preserving approximation.
Scientific Advisory Group
Carl de Boor (University of Wisconsin-Madison, USA)
Mira Bozzini (University of Milan, Italy)
Paolo Costantini (University of Siena, Italy)
Nira Dyn (University of Tel Aviv, Israel)
Mariano Gasca (University of Zaragoza, Spain)
Kurt Jetter (University of Stuttgart-Hohenheim, Germany)
Tom Lyche (University of Oslo, Norway)
Alistair Watson (University of Dundee, UK)
