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IMA Annual Program Year Workshop
Shape Spaces

April 3-7, 2006

Schedule

Participants

Photo Gallery

Abstracts and Talk Materials

Imaging

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/

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		University of Minnesota
Stephanie Allassonniere	Centre de Mathematiques et leurs Applications(CMLA)	École Normale Supérieure de Cachan
Omar Alvarez	Institute for Mathematics	University of the Republic
Jung_Ha An	Institute for Mathematics and its Applications	University of Minnesota
D. Gregory Arnold	Air Force Research Laboratory	US Air Force Research Laboratory
Douglas Arnold	Institute for Mathematics and its Applications	University of Minnesota
Donald Aronson	Institute for Mathematics and its Applications	University of Minnesota
Felipe Arrate	Department of Biomedical Engineering	Johns Hopkins University
Evgeniy Bart	Institute for Mathematics and its Applications	University of Minnesota
Mirza Beg	School of Engineering Science	Simon Fraser University
Francisco Blanco-Silva	Department of Mathematics	Purdue University
Fred Bookstein	Department of Statistics	University of Washington
Patrick Campbell	Department of Mathematical Modeling and Analysis	Los Alamos National Laboratory
Yan Cao	Center for Imaging Science	Johns Hopkins University
Tony Chan	Department of Mathematics	University of California, Los Angeles (UCLA)
Qian-Yong Chen	Institute for Mathematics and its Applications	University of Minnesota
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	Department of Computer Science	Rheinische Friedrich-Wilhelms-Universität Bonn
Steven Damelin	Department of Mathematical Sciences	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
Oliver Dorn	Departamento de Matemáticas	Universidad Carlos III de Madrid
Marc Droske	Department of Mathematical Sciences	University of California, Los Angeles (UCLA)
Ian Dryden	School of Mathematical Sciences	University of Nottingham
Anders Edin	Department of 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
Gloria Haro Ortega	Institute for Mathematics and its Applications	University of Minnesota
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 Holm	Center for Nonlinear Studies	Los Alamos National Laboratory
Byung-Woo Hong	Department of Computer Science	University of California, Los Angeles (UCLA)
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	Department of Applied Mathematics	École Normale Supérieure de Cachan
Sookyung Joo	Institute for Mathematics and its Applications	University of Minnesota
Sarang Joshi	Department of Radiation Oncology and Biomedical Engineering	University of North Carolina
Yoon Jung	School of Mathematics	University of Minnesota
Sung Ha Kang	Department of Mathematics	University of Kentucky
Martin Kilian	Discrete Mathematics and Geometry	Technische Universität Wien
Jongsu Kim	Department of Mathematics	Sogang University
Benjamin Kimia	Department of Engineering	Brown University
Timothy 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
Song-Hwa Kwon	Institute for Mathematics and its Applications	University of Minnesota
Chang-Ock Lee	Department of Mathematical Sciences	Korea Advanced Institute of Science and Technology (KAIST)
Kathryn Leonard	Department of Applied and Computational Mathematics	California Institute of Technology
Stacey Levine	Department of Mathematics and Computer Science	Duquesne University
Debra Lewis	Institute for Mathematics and its Applications	University of Minnesota
Chunming Li		Vanderbilt University
Hstau Liao	Institute for Mathematics and its Applications	University of Minnesota
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 Lucier	Department of Mathematics	Purdue University
Rolando Magnanini	Dipartimento di Matematica	Università di Firenze
Mona Mahmoudi	Department of Electrical Engineering	University of Minnesota
Alison Malcolm	Institute for Mathematics and its Applications	University of Minnesota
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 Mennucci	Ricercatore Universitario di Analisi Matematica	Scuola Normale Superiore
Peter Michor	Fakultät für Mathematik	Universität Wien
Michael Miller	Center for Imaging Science	Johns Hopkins University
Washington Mio	Department of Mathematics	Florida State University
Simon Morgan		University of Minnesota
David Mumford	Department of Applied Mathematics	Brown University
Kenneth Nordstrom	Department of Mathematics & Statistics	University of Oulu
Peter Olver	School of Mathematics	University of Minnesota
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 Randall	Instituto de Ingenieria Electrica	University of the Republic
J. Tilak Ratnanather	Department of Biomedical Engineering	Johns Hopkins University
Walter Richardson	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
Guillermo Sapiro	Department of Electrical and Computer Engineering	University of Minnesota
Emil Saucan	Department of Electrical Engineering	Technion-Israel Institute of Technology
Arnd Scheel	Institute for Mathematics and its Applications	University of Minnesota
Otmar Scherzer	Department of Computer Science	Leopold-Franzens Universität Innsbruck
Matthew Senjem	Department of Information Services	Mayo Clinic
Jin Seo	Department of Mathematics, Computational Science and Engineering	Yonsei University
Jayant 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
David Snyder	Department of Mathematics	Texas State University-San Marcos
Tatiana Soleski	Institute for Mathematics and its Applications	University of Minnesota
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
Carl Toews	Institute for Mathematics and its Applications	University of Minnesota
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	Department of Electrical and Computer Engineering	Iowa State University
Luminita Vese	Department of Mathematics	University of California, Los Angeles (UCLA)
Kevin Vixie	Department of Mathematical Modeling and Analysis	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	Institute for Mathematics and its Applications	University of Minnesota
Todd Wittman	School of Mathematics	University of Minnesota
Anthony Yezzi	School of Electrical and Computer Engineering	Georgia Institute of Technology
Laurent Younes	Department of Applied Mathematics and Statistics	Johns Hopkins University
Ofer Zeitouni	School of Mathematics	University of Minnesota
Jean-Paul Zolesio	INRIA	Institut National de Recherche en Informatique Automatique (INRIA)

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