Spring 2001

IMA Workshop 7

Geometric Design

with partial support by The Office of Naval Research

April 23 - 27, 2001

Organizers:

Larry Schumaker
Department of Mathematics
Vanderbilt University
s@mars.cas.vanderbilt.edu

Rosemary Chang
Coastcom
rchang@coastcom.com

In addition to text, 2D images, and audio, it is clear that images of 3D objects will be playing an increasingly important role in the future of multimedia. The creation, transmission and display of such images relies heavily on mathematical methods from two closely related disciplines: geometric design and computer graphics. While this workshop focuses on geometric design, connections with graphics will be emphasized, and indeed, one of the main goals is to stimulate collaboration between the mathematics and graphics communities.

Currently available methods for creating, respresenting, and compressing models of 3D objects are based on a diverse body of classical mathematics (such as geometry) and some very modern areas (such as wavelets). Topics to be discussed during the workshop include the design and representation of surfaces, methods for compressing surfaces, use of distributed data-bases, and applications in manufacturing, among others. The idea is to go beyond simply reviewing the state of the art and discussing the most recent research --- we hope that participants will help identify critical new problem areas where mathematicians and computer scientists can work together to create new and better methods for dealing with 3D objects.

WORKSHOP SCHEDULE

Abstracts       Material from Talks

2000-2001 Program: Mathematics in Multimedia