Main navigation | Main content
October 16-20, 2000
with
partial support by The
Office of Naval Research
Organizers:
Allen
Tannenbaum
Department of Computer and Electrical
Engineering
University of Minnesota
tannenba@ee.umn.edu
Peter
Olver
School
of Mathematics
University of Minnesota
olver@math.umn.edu
Donald
E. McClure
Department of Applied Mathematics
Brown University
Donald_McClure@Brown.edu
Pietro
Perona
Department of Electrical Engineering
Caltech
perona@its.caltech.edu
Recent years have seen significant advances in the application
of sophisticated mathematical theories to the problems arising
in image processing. As yet, even very low level visual processing
by computers remains a challenging problem. Both planar and
three-dimensional images are of importance, and these arise
in a wide variety of applications, including medical imagery---ultrasound,
nuclear magnetic resonance, X-ray computed topography, etc.---
military and industrial imaging, and film restoration and animation.
Basic issues include image smoothing and denoising, image enhancement,
morphology, image compression, segmentation (determining boundaries
of objects--- including problems of camera distortion and partial
occlusion). Several mathematical approaches have emerged, including
methods based on nonlinear partial differential equations, stochastic
and statistical methods, and signal processing techniques, including
wavelets and other transform theories. Partial differential
equations are used to describe the evolution of shapes under
curvature-controlled diffusions, providing a multi-scale representation
that is based upon curvature flows of fundamental importance
in differential geometry. These methods have proven successful
in noise reduction while maintaining edge retention. Applications
to segmentation are based on a variational formulation of the
method of "snakes" or moving contours, in which an initial contour
converges to the object boundary via a gradient descent flow
based on a conformally Riemannian metric. Wavelets have applications
to practical image compression methods, and texture characterization.
Statistical methods such as the EM algorithm have been successfully
applied to a variety of low level vision problems. A primary
goal of this workshop is to educate and interest mathematicians
in the mathematical and scientific problems that arise in basic
image processing.
Monday | Tuesday |
MONDAY,
OCTOBER 16 All talks are in Lecture Hall EE/CS 3-180 unless otherwise noted. |
||
---|---|---|
8:30 am | Coffee and Registration |
Reception Room EE/CS 3-176 |
9:10 am | Willard Miller, Fred Dulles, and Peter Olver | Introduction |
9:30 am | Tony
F. Chan UCLA |
A Level Set Framework for Active Contours and Mumford-Shah Segmentation |
10:30 am | Break | Reception Room EE/CS 3-176 |
11:00 am-12:00 pm | Alan
S. Willsky MIT |
Multiresolution Stochastic Models and Their Use in Modeling and Analysis of Random Processes and Fields |
2:00 pm-3:00 pm | Donald
E. McClure Brown University |
Restoration and Reformatting of Motion Images |
4:00 pm | IMA Tea | IMA East, 400 Lind Hall A variety of appetizers and beverages will be served. |
TUESDAY,
OCTOBER 17 All talks are in Lecture Hall EE/CS 3-180 unless otherwise noted. |
||
9:15 am | Coffee | Reception Room EE/CS 3-176 |
9:30 am | Stanley
Osher UCLA |
Level Set/PDE Based Algorithms for Image restoration, Surface Interpolation, and PDE's on General Manifolds |
10:30 am | Break | Reception Room EE/CS 3-176 |
11:00 am-12:00 pm | Stephane
Mallat Ecole Polytechnique, Courant Institute |
Geometrical Image Representations with Bandelets |
2:00 pm | David
Mumford Brown University |
Modeling the Full Statistics of Local Image Patches |
3:00 pm | Break | Reception Room EE/CS 3-176 |
3:30-4:30 pm | Anthony
Yezzi Georgia Institute of Technology |
Variational Methods for Image Segmentation, Smoothing, Interpolation, Magnification, Stereo Matching, and Shape from Shading |
WEDNESDAY,
OCTOBER 18 All talks are in Lecture Hall EE/CS 3-180 unless otherwise noted. |
||
9:15 am | Coffee | Reception Room EE/CS 3-176 |
9:30 am | Olivier
Faugeras INRIA/MIT |
Dynamic Shapes of Arbitrary Dimension: The Vector Distance Functions |
10:30 am | Break | Reception Room EE/CS 3-176 |
11:00 am-12:00 pm | David
Donoho Stanford University |
Harmonic Analysis Perspective on Geometric Diffusions and Low level Vision |
2:00 pm | Stefano
Soatto UCLA and Washington University |
Accommodation as a Low-Level Visual Cue |
THURSDAY,
OCTOBER 19 All talks are in Lecture Hall EE/CS 3-180 unless otherwise noted. |
||
9:15 am | Coffee | Reception Room EE/CS 3-176 |
9:30 am | Steven
Haker Yale University School of Medicine |
Non-distorting Flattening for Virtual Colonoscopy |
10:30 am | Break | Reception Room EE/CS 3-176 |
11:00 am-12:00 pm | Ingrid
C. Daubechies Princeton University |
Tree Approximation and Image Compression |
2:00 pm | Ilya
Pollak Purdue University |
Some New Results on Optimality and Complexity of PDE-Based Segmentation Algorithms |
2:40 pm | Break | Reception Room EE/CS 3-176 |
3:10-3:50 pm | Marcelo
Bertalmio University of Minnesota |
Image Inpainting and High Order PDE's in Image Processing |
4:15-5:30 pm | Tour Daniel Kersten's Computational Vison Lab |
518 Eliot Hall |
6:00 pm | Workshop Dinner | Caspian Restaurant |
FRIDAY,
OCTOBER 20 All talks are in Lecture Hall EE/CS 3-180 unless otherwise noted. |
||
9:15 am | Coffee | Reception Room EE/CS 3-176 |
9:30 am | Bart
M. ter Haar Romeny Utrecht University |
Front-End Vision and Multiscale Image Analysis (a new tutorial book.) |
10:30 am | Break | Reception Room EE/CS 3-176 |
11:00-11:40 am | Madjid
Allili Georgia Institute of Technology |
Cubical Homology Theory and
Applications in Image Processing and
Computer Vision Talk pdf postscript |
Contributed
Talks |
||
2:00 pm | Eric
Pauwels CWI (Netherlands) |
Segmentation Based on Distribution-free Statistics |
2:30 pm | Josh
Zeevi Technion |
Generalized Gabor-type and Wavelet-type Schemes and their Applications |
3:00 pm |
Nir
Sochen |
Gabor-type Snakes |
3:30 pm | Selim
Esedoglu IMA |
An Analysis of the Peron-Malik Scheme |
4:00-4:30 pm | Haomin
Zhou UCLA |
Adaptive ENO-wavelets for Image Compression |
Monday | Tuesday |
Name | Department | Affiliation |
---|---|---|
Mark Alber | Mathematics | University of Notre Dame |
Madjid Allili | Mathematics | Georgia Institute of Technology |
Ery Arias-Castro | Statistics | Stanford University |
Amir Averbuch | Computer Science | Tel Aviv University |
Piero Barone | Istituto per le Applicazioni del Calcolo | Consiglio Nazionale delle Ricerche (CNR) |
Sebastiano Battiato | AST - Catania Lab | STMicroelectronics |
Bertalmio Marcelo | Electrical and Computer Engineering | University of Minnesota |
Antonin Chambolle | CEREMADE | Universite de Paris-Dauphine |
Tony F.C. Chan | Mathematics | UCLA |
Alessandro Chiuso | Electrical Engineering | University of Padova |
Shuli Cohen Shwartz | U.C.G. Technologies Ltd. | The Technion Enterpreneurial Incubator Co. |
Nicholas Coult | Mathematics | Augsburg College |
Ingrid C. Daubechies | Mathematics | Princeton University |
David Donoho | Statistics | Stanford University |
Fred Dulles | Institute for Mathematics & its Applications | |
Olivier Faugeras | Sophia Antipolis Research Unit | INRIA |
Juan Gispert | Medical Imaging Laboratory | Hospital Universitario Gregorio Maranon |
Jack Goldfeather | Mathematics and Computer Science | Carleton College |
Bernard Goulard | Centre de Recherches Mathematiques | Universite de Montreal |
Steven Haker | Image Processing and Analysis Group | Yale University School of Medicine |
John Hoffman | Maritime Surveillance Aircraft | Lockheed Martin |
David Jacobs | NEC Research Institute | |
Josef Keller | Engineering | Tel Aviv University |
Jean-Marc Lina | Centre de Recherches Mathematiques | University of Montreal |
Bradley Love | Laboratory of Survival and Longevity | Max Planck Institute for Demographic Research |
Stephane Mallat | Ecole Polytechnique | |
Massimo Mancuso | AST - Catania Lab | STMicroelectronics |
Riccardo March | Istituto per le Applicasioni del Calcolo (IAC) | Consiglio Nazionale delle Ricerche (CNR) |
Donald E. McClure | Applied Mathematics | Brown University |
Peter McCoy | Mathematics | U.S. Naval Academy |
Willard Miller | Institute for Mathematics & its Applications | |
David Mumford | Applied Mathematics | Brown University |
Peter Olver | Mathematics | University of Minnesota |
Stanley Osher | Mathematics | UCLA |
Daniel N. Ostrov | Santa Clara University | |
Javier Pascau | Medical Imaging Laboratory | Hospital Universitario Gregorio Maranon |
Eric Pauwels | PNA4 | Centre for Mathematics and Information Science |
Ilya Pollak | Electrical and Computer Engineering | Purdue University |
Fadil Santosa | IMA and MCIM | |
Otmar Scherzer | Institute for Industrial Mathematics | University of Linz |
Erik Schlicht | Psychology | University of Minnesota |
Kevin Schweiker | Engineering | Freestyle Technologies, Inc. |
Michael Israel Sigal | Mathematics | University of Toronto |
Stefano Soatto | Electrical Engineering | Washington University |
Nir Sochen | Applied Mathematics | Tel-Aviv University |
Allen Tannenbaum | Electrical & Computer Engineering | Georgia Institute of Technology |
Bart M. ter Haar Romeny | Image Sciences Institute | University Medical Center |
Richard Tsai | Mathematics | UCLA |
Ranga Vatsavai | Remote Sensing & GIS Lab | University of Minnesota |
Luminita Aura Vese | Mathematics | University of California |
Curtis Vogel | Mathematical Science | Montana State University |
Alan S. Willsky | Electrical Engineering & Computer Science | MIT |
Anthony Yezzi | Electrical Engineering & Computer Science | Georgia Institute of Technology |
Y.Y. Zeevi | Computer Science & Eolectrical Eng. | Technion-Israel Institute of Technology |
Haomin Zhou | Applied Mathematics | Caltech |
Connect With Us: |