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

Friday

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

Thursday

Friday

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