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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 databases, 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.
Monday  Tuesday 
MONDAY,
APRIL 23 All talks are in Lecture Hall EE/CS 3180 unless otherwise noted. Topic: Patches 


8:30 am  Coffee and Registration 
Reception Room EE/CS 3176 
9:10 am  Willard Miller, Fred Dulles, and Larry Schumaker  Introduction 
9:30 am  Guenther
Greiner Universität Erlangen 
Parameterizing Meshes with Applications Talk pdf (1.3MB) 
10:30 am  Break  Reception Room EE/CS 3176 
11:00 am  Jorg
Peters University of Florida 
Curvature Continuous FreeForm Surface 
2:00 pm  Stefanie
Hahmann Polytechnical University of Grenoble 
Smooth Surfaces Over Arbitrary Meshes 
4:00 pm  IMA
Tea A variety of appetizers and beverages will be served. 
IMA East, 400 Lind Hall 
TUESDAY,
APRIL 24 All talks are in Lecture Hall EE/CS 3180 unless otherwise noted. Topic: Subdivision 

9:15 am  Coffee  Reception Room EE/CS 3176 
9:30 am  Nira
Dyn Tel Aviv University 

10:30 am  Break  Reception Room EE/CS 3176 
11:00 am  Denis
Zorin Courant Institute of Mathematical ScienceNYU 
Approximate Boolean Operations on Solids Represented by Surfaces 
2:00 pm  Peter
Schröder California Institute of Technology 
QuasiInterpolation for Subdivision Surfaces 
WEDNESDAY,
APRIL 25 All talks are in Lecture Hall EE/CS 3180 unless otherwise noted. Topic: Implicit Surfaces 

9:15 am  Coffee  Reception Room EE/CS 3176 
9:30 am  Chandrajit
Bajaj University of Texas at Austin 
Anisotropic Geometric Diffusion 
10:30 am  Break  Reception Room EE/CS 3176 
11:00 am  Hartmut
Prautzsch Universität Karlsruhe 
Talk gzipped postscript pdf 
2:00 pm  Tamas
Varady Computer and Automation Research Institute 
Detecting Smooth Edges in Reverse Engineering 
THURSDAY,
APRIL 26 All talks are in Lecture Hall EE/CS 3180 unless otherwise noted. Topic: Triangular Surfaces 

9:15 am  Coffee  Reception Room EE/CS 3176 
9:30 am  HansPeter
Seidel MaxPlanckInstitut for Computer Science 
Efficient Processing of Large 3D Meshes 
10:30 am  Break  Reception Room EE/CS 3176 
11:00 am  Bernd
Hamann University of California, Davis 
Hierarchical Approaches for the Visualization of Massive Scientific Data 
2:00 pm  Christoph
M. Hoffmann Purdue University 

3:00 pm  Break  Reception Room EE/CS 3176 
Contributed
Talk


3:30 pm  T.C.
Sun Wayne State University 

3:50 pm  Ognyan
Kounchev University of Wisconsin 
Application of Piecewise Polyharmonic Splines (Polysplines) to CAGD 
4:104:30 pm  Ravi
Janardan University of Minnesota 
Geometric Algorithms for Layered Manufacturing 
6:00 pm  Workshop Dinner  Lotus Restaurant, 313 Oak Street 
FRIDAY,
APRIL 27 All talks are in Lecture Hall EE/CS 3180 unless otherwise noted. 

9:15 am  Coffee  Reception Room EE/CS 3176 
9:30 am  Joe
Warren Rice University 
A Subdivision Scheme for Surfaces of Revolution 
10:30 am  Break  Reception Room EE/CS 3176 
11:00 am  Thomas
Sederberg Brigham Young University 
NURCCS, Syzygy Modules, and Morphbased Compression 
2:003:00 pm  Bahram
Ravani University of California, Davis 
Lind Hall 409 
Monday  Tuesday 
Name  Department  Affiliation 

Gudrun Albrecht  think3  
Beth E. Allen  Economics  University of Minnesota 
Chandrajit L. Bajaj  Computer Sciences  University of Texas at Austin 
Jamylle Carter  Institute for Mathematics and its Applications  
Rosemary E. Chang  Vice President, Engineering  Coastcom 
Thomas R. Chase  Mechanical Engineering  University of Minnesota 
ChingShoei Chiang  Computer Science  Purdue University 
Tom Duchamp  Mathematics  University of Washington 
Fred Dulles  Institute for Mathematics & its Applications  
Nira Dyn  Mathematical Sciences  TelAviv University 
David Field  Mail Code: 480106359  Research & Development Center, General Motors 
Marcio Fuzeto Gameiro  Mathematics  Georgia Institute of Technology 
Thomas Grandine  Mathematics and Computing Technology  The Boeing Company 
Guenther Greiner  IMMD IX,Computer Graphics, Computer Science  Universitat Erlangen 
Robert Gulliver  Mathematics  University of Minnesota 
Stefanie Hahmann  LMCIMAG  Polytechnical University of Grenoble 
Bernd Hamann  Computer Science  University of California, Davis 
Bin Han  Institute for Mathematics and its Applications  
Christoph Hoffman  Computer Science  Purdue University 
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 WisconsinMadison 
Ki Ryong Kwon  Electrical & Computer Engineering  University of Minnesota 
John Lavery  Computing & Information Sciences  Army Research Office 
Quoc Thong Le Gia  Mathematics  Texas A&M University 
Stefan Leopoldseder  Institut fuer Geometrie  Technische Universitaet Wein 
Miriam Lucian  BCAG  Advanced Technology  The Boeing Company 
Andrew McCulloh  Research and Development  Thompson Corporation 
Willard Miller  Institute for Mathematics & its Applications  
Francis Narcowich  Mathematics  Texas A&M University 
Jorg Peters  Computer & Infor. Sci. & Eng.  University of Florida 
Guergana Petrova  Mathematics  University of Michigan 
Helmut Pottmann  Institut fuer Geometrie  Technische Universitaet Wien 
Hartmut Prautzsch  Institut fur Betriebsund Dialogsysteme  Universitat Karlsruhe 
Bahram Ravani  Mechanical & Aeronautical Eng.  University of California, Davis 
Ramon F Sarraga  General Motors Research & Development  
Peter Schroder  Computer Science  California Institute of Technology 
Larry Schumaker  Mathematics  Vanderbilt University 
Thomas Sederberg  Computer Science  Brigham Young University 
HansPeter Seidel  MaxPlanckInstitut fuer Informatik  
Jin Keun Seo  Mathematics  Yonsei University 
Tim Strotman  Products Group  Structural Dynamics Research Corp. 
Werner Stuetzle  Statistics  University of Washington 
T.C. Sun  Mathematics  Wayne State University 
Tamas Varady  Geometric Modeling Laboratory  Computer and Automation Research Inst. 
Joe Warren  Computer Science  Rice University 
Sheng Chang Wu  Differential Equation & Computational Physics  Institute of Applied Mathematics 
Jianmin Zheng  Computer Science  Brigham Young University 
Denis Zorin  Computer Science  Courant Institute of Mathematical Science 
20002001 Program: Mathematics in Multimedia
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