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IMA Annual Program Year Workshop

Shape Spaces

April 3-7, 2006

Organizers:

David Mumford

Department of Applied Mathematics
Brown University
http://www.dam.brown.edu/people/mumford/

Laurent Younes

Department of Applied Mathematics and Statistics
Johns Hopkins University
http://cis.jhu.edu/~younes/

Schedule Participants Program Application Feedback
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Abstracts and Talk Materials Dining Guide
Photo Gallery

Description:

Curves, shapes and images may undergo very large deformations while still remaining within a single semantic category, for instance an anatomical structure, human face or handwritten character. These transformations form an essential component of image understanding. A variety of spaces have been proposed as natural domains, especially finite-dimensional and infinite-dimensional manifolds and Lie groups (e.g., of diffeomorphisms). Abstract formulations have led to feasible, if intensive, computational algorithms for elastic matching based on geodesics in order to quantify differences between shapes. Possible topics also include hierarchical shape clustering, shape learning, shape synthesis and statistics on manifolds.

Schedule
Monday, April 3
8:15a-8:50a Registration and coffee   EE/CS 3-176
8:50a-9:00a Welcome to the IMA Douglas N. Arnold (University of Minnesota Twin Cities) EE/CS 3-180
9:00a-9:30a Introduction Laurent Younes (Johns Hopkins University) EE/CS 3-180
9:30a-10:30a Paths towards Understanding the Shapes of the Whole Brain Michael I. Miller (Johns Hopkins University) EE/CS 3-180
10:30a-11:00a break   EE/CS 3-176
11:00a-12:00p Comparing and Warping Shapes in a Metric Framework Guillermo R. Sapiro (University of Minnesota Twin Cities) EE/CS 3-180
12:00p-2:00p Lunch break    
2:00p-3:00p Sobolev Active Contours Anthony J. Yezzi (Georgia Institute of Technology) EE/CS 3-180
3:00p-3:30p Second Chances Michael I. Miller (Johns Hopkins University), Guillermo R. Sapiro (University of Minnesota Twin Cities), Anthony J. Yezzi (Georgia Institute of Technology) EE/CS 3-180
3:30p-3:35p Group Photos    
3:35p-3:45p Break    
3:45p-5:15p Poster Session/Reception
Lind Hall 400
Generative Model and Consistent Estimation Algorithms for non-rigid Deformation Model Stephanie Allassonniere (École Normale Supérieure de Cachan)
Segmentation of ultrasound images with shape priors. Application to automatic cattle rib-eye area estimation Pablo Arias (University of the Republic)
Gregory J. Randall (University of the Republic)
Pablo Sprechmann (University of the Republic)
View-invariant recognition using corresponding object fragments Evgeniy Bart (University of Minnesota Twin Cities)
Axial Representation of Shapes Based on Principal Curves Yan Cao (Johns Hopkins University)
Robust Variational Computation of Geodesics on a Shape Space Daniel Cremers (Rheinische Friedrich-Wilhelms-Universität Bonn)
Higher-order regularization of geometries and Mumford-Shah surfaces Marc Droske (University of California)
Shape space smoothing splines for planar landmark data Ian Dryden (University of Nottingham)
Riemannian Metrics on the Space of Solid Shapes P. Thomas Fletcher (University of Utah)
Mumford-Shah with A-Priori Medial-Axis Information Matthias Fuchs (Leopold-Franzens Universität Innsbruck)
Otmar Scherzer (Leopold-Franzens Universität Innsbruck)
Highly Accurate Segmentation Using Geometric Attraction-Driven Flow in Edge-Regions Jooyoung Hahn (Korea Advanced Institute of Science and Technology (KAIST))
Chang-Ock Lee (Korea Advanced Institute of Science and Technology (KAIST))
Principal Component Geodesics for Planar Shape Spaces Stephan Huckemann (Georg-August-Universität zu Göttingen)
First-Order Modeling and Analysis of Illusory Shapes/Contours Yoon Mo Jung (University of Minnesota Twin Cities)
Jianhong Shen (University of Minnesota Twin Cities)
3D Shape Warping based on Geodesics in Shape Space Martin Kilian (Technische Universität Wien)
Model Selection for 2D Shape Kathryn Leonard (California Institute of Technology)
Local feature modeling in image reconstruction-segmentation Hstau Liao (University of Minnesota Twin Cities)
Statistics and Metrology for Geometry Measuring Machine (GEMM) Z.Q. John Lu (National Institute of Standards and Technology)
A Minimum Description Length Objective Function for Groupwise Non-Rigid Image Registration Stephen Marsland (Massey University)
A Demo on Shape of Curves Washington Mio (Florida State University)
Statistical Computing on Manifolds: From Riemannian Geometry to Computational Anatomy Xavier Pennec (Institut National de Recherche en Informatique Automatique (INRIA))
A Newton-type Total Variation Diminishing Flow Wolfgang Ring (Karl-Franzens-Universität Graz)
Metric Curvatures and Applications Emil Saucan (Technion-Israel Institute of Technology)
A metric space of shapes — the conformal approach Eitan Sharon (Brown University)
Bayesian Extraction of Contours in Images Using Gradient Vector Fields and Intrinsic Shape Priors Anuj Srivastava (Florida State University)
Using Shape Based Models for Detecting Illusory Contours, Disocclusion, and Finding Nonrigid Level-Curve Correspondences Sheshadri R. Thiruvenkadam (University of California)
Statistical Models for Contour Tracking Namrata Vaswani (Iowa State University)
Manifold-based models for image processing Michael Wakin (Rice University)
Application of PCA and Geodesic 3D Evolution of Initial Velocity in Assessing Hippocampal Change in Alzheimer's Disease Lei Wang (Washington University School of Medicine)
A variational approach to image and video super-resolution Todd Wittman (University of Minnesota Twin Cities)
Tuesday, April 4
8:45a-9:00a Coffee   EE/CS 3-176
9:00a-10:00a Geometries on the space of planar shapes - geodesics and curvatures Peter W. Michor (Universität Wien) EE/CS 3-180
10:00a-10:30a Break   EE/CS 3-176
10:30a-11:30a On the metrics on the space of simple closed plane curves David Mumford (Brown University) EE/CS 3-180
11:30a-1:30p Lunch break
Deadline: Sign up by noon for Wednesday's dinner.		    
1:30p-2:30p Joint Methods in Shape Matching and Motion Extraction Martin Rumpf (Rheinische Friedrich-Wilhelms-Universität Bonn) EE/CS 3-180
2:30p-2:45p Break   EE/CS 3-176
2:45p-3:45p Statistical modelling and estimation problems with deformable templates Alain Trouve (École Normale Supérieure de Cachan) EE/CS 3-180
3:45p-4:00p Break   EE/CS 3-176
4:00p-5:00p Statistical Analysis of Shapes of 2D Curves, 3D Curves, and Facial Surfaces Anuj Srivastava (Florida State University) EE/CS 3-180
5:00p-5:30p Second Chances Peter W. Michor (Universität Wien), David Mumford (Brown University), Martin Rumpf (Rheinische Friedrich-Wilhelms-Universität Bonn), Anuj Srivastava (Florida State University), Alain Trouve (École Normale Supérieure de Cachan) EE/CS 3-180
Wednesday, April 5
8:45a-9:00a Coffee   EE/CS 3-176
9:00a-10:00a Recent Advances in Unlabelled Shape Analysis Kanti Mardia (University of Leeds) EE/CS 3-180
10:00a-10:30a Break   EE/CS 3-176
10:30a-11:30a Symmetries of a mathematical model for deformation noise in realistic biometric contexts Fred L. Bookstein (University of Washington) EE/CS 3-180
11:30a-1:30p Lunch break    
1:30p-2:30p Statistics of Shape: Simple Statistics on Interesting Spaces Sarang Joshi (University of North Carolina) EE/CS 3-180
2:30p-2:45p Break   EE/CS 3-176
2:45p-3:45p Shapes, shocks, and appearance Benjamin B. Kimia (Brown University) EE/CS 3-180
3:45p-4:00p Break   EE/CS 3-176
4:00p-4:30p Riemannian metric of curves Andrea Carlo Giuseppe Mennucci (Scuola Normale Superiore) EE/CS 3-180
4:30p-5:00p Statistical computing on manifolds Xavier Pennec (Institut National de Recherche en Informatique Automatique (INRIA)) EE/CS 3-180
5:00p-5:30p Second Chances Fred L. Bookstein (University of Washington), Sarang Joshi (University of North Carolina), Benjamin B. Kimia (Brown University), Kanti Mardia (University of Leeds), Andrea Carlo Giuseppe Mennucci (Scuola Normale Superiore), Xavier Pennec (Institut National de Recherche en Informatique Automatique (INRIA)) EE/CS 3-180
6:30p-8:00p Workshop Dinner (please sign up by noon Tuesday, 4/4)   Caspian Bistro 
Thursday, April 6
8:45a-9:00a Coffee   EE/CS 3-176
9:00a-10:00a Soliton Dynamics in Computational Anatomy Darryl D. Holm (Los Alamos National Laboratory) EE/CS 3-180
10:00a-10:30a Break   EE/CS 3-176
10:30a-11:30a New algorithms for diffeomorphic shape analysis Laurent Younes (Johns Hopkins University) EE/CS 3-180
11:30a-1:30p Lunch break    
1:30p-2:30p Shape Tube Metric Jean-Paul Zolesio (Institut National de Recherche en Informatique Automatique (INRIA)) EE/CS 3-180
2:30p-2:45p Break   EE/CS 3-176
2:45p-3:45p Discrete Calculus for Shape Processing Mathieu Desbrun (California Institute of Technology) EE/CS 3-180
3:45p-4:00p Break   EE/CS 3-176
4:00p-5:00p Statistical models of shape and appearance for image interpretation Tim Cootes (University of Manchester) EE/CS 3-180
5:00p-5:30p Second Chances Tim Cootes (University of Manchester), Mathieu Desbrun (California Institute of Technology), Darryl D. Holm (Los Alamos National Laboratory), Laurent Younes (Johns Hopkins University), Jean-Paul Zolesio (Institut National de Recherche en Informatique Automatique (INRIA)) EE/CS 3-180
Friday, April 7
8:45a-9:00a Coffee   EE/CS 3-176
9:00a-10:00a Invariant Signatures for Recognition and Symmetry Peter J. Olver (University of Minnesota Twin Cities) EE/CS 3-180
10:00a-10:30a Break   EE/CS 3-176
10:30a-11:00a Statistical models for deformable contour tracking Namrata Vaswani (Iowa State University) EE/CS 3-180
11:00a-11:30a Implicit Shape Representations for Image Segmentation Daniel Cremers (Rheinische Friedrich-Wilhelms-Universität Bonn) EE/CS 3-180
11:30a-12:00p Second Chances Daniel Cremers (Rheinische Friedrich-Wilhelms-Universität Bonn), Peter J. Olver (University of Minnesota Twin Cities), Namrata Vaswani (Iowa State University) EE/CS 3-180
12:00p-12:15p Conclusion Laurent Younes (Johns Hopkins University) EE/CS 3-180

LIST OF CONFIRMED PARTICIPANTS

Name Department Affiliation
Iman Aganj Department of Electrical and Computer Engineering University of Minnesota Twin Cities
Stephanie Allassonniere Centre de Mathematiques et leurs Applications(CMLA) École Normale Supérieure de Cachan
Omar Alfredo Gil Alvarez Insituto de Mathematica University of the Republic
Jung-Ha An Institute for Mathematics and its Applications University of Minnesota Twin Cities
D. Gregory Arnold AFRL/SNAT US Air Force Research Laboratory
Douglas N. Arnold Institute for Mathematics and its Applications University of Minnesota Twin Cities
Donald G. Aronson Institute for Mathematics and its Applications University of Minnesota Twin Cities
Felipe Arrate Department of Biomedical Engineering Johns Hopkins University
Evgeniy Bart Institute for Mathematics and its Applications University of Minnesota Twin Cities
Mirza Faisal Beg School of Engineering Science Simon Fraser University
Francisco Blanco-Silva Department of Mathematics Purdue University
Fred L. Bookstein Department of Statistics University of Washington
Patrick R. Campbell T-7: Mathematcal modeling and analysis Los Alamos National Laboratory
Yan Cao Center for Imaging Science Johns Hopkins University
Tony F. Chan   University of California
Qianyong Chen   University of Minnesota Twin Cities
Yong-Seung Cho Office of Director National Institute for Mathematical Sciences
Tim Cootes Division of Imaging Science and Biomedical Engineering University of Manchester
Daniel Cremers Computer Science Department Rheinische Friedrich-Wilhelms-Universität Bonn
Steven Benjamin Damelin Department of Mathematics Georgia Southern University
James Damon Department of Mathematics University of North Carolina
Mathieu Desbrun Department of Computer Science California Institute of Technology
Brian DiDonna Institute for Mathematics and its Applications University of Minnesota Twin Cities
Oliver Dorn Departamento de Matematicas Universidad Carlos III de Madrid
Marc Droske Mathematical Sciences Department University of California
Ian Dryden School of Mathematical Sciences University of Nottingham
Anders Edin Research and Development Sidec Technologies
Selim Esedoglu Department of Mathematics University of Michigan
P. Thomas Fletcher Scientific Computing Institute University of Utah
Matthias Fuchs Department of Computer Science Leopold-Franzens Universität Innsbruck
Joan Glaunes Department of Mathematics Université de Paris XIII (Paris-Nord)
David Gray Department of Munitions Directorate US Air Force Research Laboratory
Raffaele Grompone   École Normale Supérieure de Cachan
Changfeng Gui Department of Mathematics University of Connecticut
Jeff Gunter Radiology Research Mayo Clinic
Jooyoung Hahn Division of Applied Mathematics Korea Advanced Institute of Science and Technology (KAIST)
Hazem Hamdan School of Mathematics University of Minnesota Twin Cities
Gloria Haro Ortega Institute for Mathematics and its Applications University of Minnesota Twin Cities
Hans-Christian Hege Department of Visualization and Data Analysis Konrad-Zuse-Zentrum für Informationstechnik (ZIB)
Michael Hofer Department of Mathematics and Geoinformation Technische Universität Wien
Darryl D. Holm Center for Nonlinear Studies Los Alamos National Laboratory
Byung-Woo Hong Computer Science Department University of California
Xiang Huang Department of Mathematics University of Connecticut
Stephan Huckemann Institute for Mathematical Stochastics Georg-August-Universität zu Göttingen
Monica Hurdal Department of Mathematics Florida State University
Jeremie Jakubowicz Applied Mathematics Department École Normale Supérieure de Cachan
Sookyung Joo   University of Minnesota Twin Cities
Sarang Joshi Department of Radiation Oncology and Biomedical Engineering University of North Carolina
Yoon Mo Jung School of Mathematics University of Minnesota Twin Cities
Sung Ha Kang Department of Mathematics University of Kentucky
Martin Kilian Discrete Mathematics and Geometry Technische Universität Wien
Jongsu Kim Mathematics Department Sogang University
Benjamin B. Kimia Department of Engineering Brown University
Timothy J. Klausutis Seeker Image and Signal Processing US Air Force Research Laboratory
Gisela Klette Department of Computer Science University of Auckland
Reinhard Klette Department of Computer Science University of Auckland
Matthias Kurzke Institute for Mathematics and its Applications University of Minnesota Twin Cities
Song-Hwa Kwon Institute for Mathematics and its Applications University of Minnesota Twin Cities
Chang-Ock Lee Division of Applied Mathematics Korea Advanced Institute of Science and Technology (KAIST)
Kathryn Leonard Department of Applied and Computational Mathematics California Institute of Technology
Stacey E. Levine Department of Mathematics and Computer Science Duquesne University
Debra Lewis   University of Minnesota Twin Cities
Chunming Li   Vanderbilt University
Hstau Liao Institute for Mathematics and its Applications University of Minnesota Twin Cities
Hong Liu Center for Molecular and Anatomical Imaging Eli Lilly and Company
Z.Q. John Lu Statistical Engineering Division National Institute of Standards and Technology
Bradley J. Lucier Department of Mathematics Purdue University
Rolando Magnanini Dipartimento di Matematica Università di Firenze
Mona Mahmoudi Department of Electrical Engineering University of Minnesota Twin Cities
Alison Malcolm   University of Minnesota Twin Cities
Riccardo March Istituto per le Applicazioni del Calcolo (IAC) Consiglio Nazionale delle Ricerche (CNR)
Kanti Mardia Department of Statistics University of Leeds
Stephen Marsland Institute of Information Sciences and Technology Massey University
Andrea Carlo Giuseppe Mennucci Ricercatore universitario di Analisi matematica Scuola Normale Superiore
Peter W. Michor Fakultat fur Mathematik Universität Wien
Michael I. Miller Center for Imaging Science Johns Hopkins University
Washington Mio Department of Mathematics Florida State University
Simon Morgan Department of Mathematics University of Minnesota Twin Cities
David Mumford Department of Applied Mathematics Brown University
Kenneth Nordstrom Department of Math Sciences and Statistics University of Oulu
Peter J. Olver School of Mathematics University of Minnesota Twin Cities
Xavier Pennec Asclepios Team Institut National de Recherche en Informatique Automatique (INRIA)
Konrad Polthier Department of Mathematical Geometry Processing Freie Universität Berlin
Anqi Qiu Center for Imaging Science Johns Hopkins University
Gregory J. Randall Instituto de Ingenieria Electrica University of the Republic
J. Tilak Ratnanather Department of Biomedical Engineering Johns Hopkins University
Walter Richardson Jr. Department of Mathematical Sciences University of Texas
Wolfgang Ring Institute of Mathematics Karl-Franzens-Universität Graz
Martin Rumpf Institute for Numerical Simulation Rheinische Friedrich-Wilhelms-Universität Bonn
Fadil Santosa School of Mathematics University of Minnesota Twin Cities
Guillermo R. Sapiro Department of Electrical and Computer Engineering University of Minnesota Twin Cities
Emil Saucan Electrical Engineering Department Technion-Israel Institute of Technology
Arnd Scheel Institute for Mathematics and its Applications University of Minnesota Twin Cities
Otmar Scherzer Department of Computer Science Leopold-Franzens Universität Innsbruck
Matthew L. Senjem Department of Information Services Mayo Clinic
Jin Keun Seo Department of Mathematics Yonsei University
Jayant M. Shah Department of Mathematics Northeastern University
Tony Shardlow School of Mathematics University of Manchester
Eitan Sharon Division of Applied Mathematics Brown University
Jianhong Shen Department of Earth and Atmospheric Sciences University of Minnesota Twin Cities
David Snyder Department of Mathematics Texas State University-San Marcos
Tatiana Soleski Institute for Mathematics and its Applications University of Minnesota Twin Cities
Anuj Srivastava Department of Statistics Florida State University
Peter Stiller Department of Mathematics Texas A & M University
Vladimir Sverak School of Mathematics University of Minnesota Twin Cities
Carl Toews Institute for Mathematics and its Applications University of Minnesota Twin Cities
Alain Trouve Centre de Mathematiques et leurs Applications(CMLA) École Normale Supérieure de Cachan
Mao-Pei Tsui Department of Mathematics University of Toledo
Carole Twining Division of Imaging Science and Biomedical Engineering University of Manchester
Namrata Vaswani Electrical and Computer Engineering Iowa State University
Luminita Aura Vese Department of Mathematics University of California
Kevin Vixie Mathematical Modeling and Analysis (T-7) Los Alamos National Laboratory
Michael Wakin Electrical and Engineering Department Rice University
Jingyue Wang Department of Mathematics Purdue University
Lei Wang Department of Psychiatry Washington University School of Medicine
Xiaoqiang Wang   University of Minnesota Twin Cities
Todd Wittman School of Mathematics University of Minnesota Twin Cities
Anthony J. Yezzi Electrical Engineering and Computer Science Georgia Institute of Technology
Laurent Younes Department of Applied Mathematics and Statistics Johns Hopkins University
Ofer Zeitouni School of Mathematics University of Minnesota Twin Cities
Jean-Paul Zolesio INRIA Institut National de Recherche en Informatique Automatique (INRIA)

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