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
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of page
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