HOME    »    PROGRAMS/ACTIVITIES    »    Annual Thematic Program
IMA Tutorial
Geometric Design: Geometries for CAGD
April 19 - 20, 2001


Speakers:

Helmut Pottmann
Institut fuer Geometrie
Technische Universität Wien
pottmann@geometrie.tuwien.ac.at

Stefan Leopoldseder
Institut fuer Geometrie
Technische Universität Wien
stefan@geometrie.tuwien.ac.at
http://www.geometrie.tuwien.ac.at/leopoldseder/

Description of Contents:

Geometric methods have been successfully applied to a variety of problems in Computer-Aided Design and Geometric Modeling, such as NURBS representations of special functional forms of curves and surfaces (offsets, developable surfaces, blending surfaces, ....), tolerancing, sweep surface design, segmentation and surface fitting in reverse engineering. This tutorial shall provide the attendees with the basic concepts of computational geometry and its applications to industrial problems (see for instance http://www.geometrie.tuwien.ac.at/ig). The presented material is located in a broad area, which includes projective geometry and differential geometry in its center. It includes various geometries appropriate for computational algorithms with developable surfaces, canal surfaces, ruled surfaces, kinematical surfaces, ....

Recommended Background:

Linear algebra, calculus, basics of elementary differential geometry.

 

TUTORIAL SCHEDULE/MATERIAL FROM TALKS

THURSDAY, APRIL 19
All talks are in Lind Hall 409 unless otherwise noted.
9:15 am Coffee and Registration

Lind Hall 400

9:25am Willard Miller and Fred Dulles Welcome and Introduction
9:30 am Helmut Pottmann
Technische Universität Wien

Basics of Projective Geometry

Talk: minn1.ps    minn1.pdf   

11:00 am Break Lind Hall 400
11:30 am-12:15 pm Stefan Leopoldseder
Technische Universität Wien

Applications of Duality, Part I

Talk:    minn2.ps   minn2.pdf   
2:00 pm Stefan Leopoldseder
Technische Universität Wien

Applications of Duality, Part II

Talk:    minn2.ps   minn2.pdf

Slides

2:45 pm Break Lind Hall 400
3:15-4:15 pm Helmut Pottmann
Technische Universität Wien

Approximation in Spaces of Geometric Objects

Slides

FRIDAY, APRIL 20
All talks are in Lind Hall 409 unless otherwise noted.
9:15 am Coffee Lind Hall 400
9:30 am Stefan Leopoldseder
Technische Universität Wien

Sphere Geometry with Applications

Talk:   minn4.ps    minn4.pdf

11:00 am Break Lind Hall 400
1:00 pm Helmut Pottmann
Technische Universität Wien

Kinematical Geometry and Applications in Reverse Engineering, Part I

Talk:   html    pdf

2:00 pm Break Lind Hall 400
2:30-3:30 pm Stefan Leopoldseder
Technische Universität Wien

Kinematical Geometry and Applications in Reverse Engineering, Part II

Talk:   minn6.ps    minn6.pdf

Slides

LIST OF CONFIRMED PARTICIPANTS
(in addition to postdocs and long-term participants)

As of 4/19/2001
Name Department Affiliation
Beth E. Allen Economics University of Minnesota
Rosemary E. Chang Vice President, Engineering Coastcom
Ronald DeVore Director of Indust. Math. Institute University of South Carolina
Tom Duchamp Mathematics University of Washington
Nira Dyn Mathematical Sciences Tel-Aviv University
Marcio Fuzeto Gameiro Mathematics Georgia Institute of Technology
Gerald Goodman Statistics University of Florence
Guenther Greiner IMMD IX,Computer Graphics, Computer Science Universitat Erlangen
Robert Gulliver Mathematics University of Minnesota
Ivaylo Ilinkin Computer Science University of Minnesota
Ravi Janardan Computer Science & Engineering University of Minnesota
Hyejoo Kim Statistics Seoul National University
Jinseog Kim Statistics Seoul National University
Ognyan Kounchev Computer Sciences University of Wisconsin-Madison
Stefan Leopoldseder Institut fuer Geometrie Technische Universitaet Wein
Miriam Lucian BCAG - Advanced Technology The Boeing Company
Adam Lutoborski Mathematics Syracuse University
Helmut Pottmann Institut fuer Geometrie Technische Universitaet Wien
Amos Ron Computer Sciences University of Wisconsin-Madison
Peter Schroder Computer Science California Institute of Technology
Larry Schumaker Mathematics Vanderbilt University
Vladimir Temlyakov Mathematics University of South Carolina
Tamas Varady Geometric Modeling Laboratory Computer and Automation Research Inst.
Denis Zorin Computer Science Courant Institute of Mathematical Science

Audio Recordings

2000-2001 Program: Mathematics in Multimedia

top of page
Connect With Us:
Go