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Prof. T.N.T. Goodman

picture of Prof T Goodman

Prof. Tim Goodman
Professor of Mathematics
University of Cambridge

Professional Duties

Fellow of the Royal Society of Edinburgh
Member of the EPSRC Peer Review College
Member of the editorial boards of the following journals:
Advances in Computational Mathematics
Computer Aided Geometric Design
Constructive Approximation

Research Interests:

These mostly fall into one of the following three areas:

1) Computer Aided Geometric Design

Work has focussed on spline functions, i.e. piecewise polynomials or rationals, particularly shape preserving interpolation and the theoretical study of shape properties. Recent collaborations include: the University of California, Davis; Universiti Sains Malaysia; University of Manitoba; and Lincoln University, New Zealand.

Some recent papers:

2) Multiresolution and Wavelets

Refinable spline functions have been studied, including construction of orthogonal splines, wavelets, frames, and a new bivariate generalisation of B-splines. There is also work on more general refinable functions, in particular asymptotic and shape properties. Recent collaborations include: Justus Liebig University, Giessen; the Center for Constructive Approximation, Vanderbilt University; and the Centre for Wavelets, Approximation and Information Processing, the National University of Singapore.

Some recent papers:

3) Uncertainty Principles

The collaboration on asymptotic properties of refinable functions at the National University of Singapore has led to further joint work there on uncertainty principles, in particular on spheres.

Some recent papers: