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IMA Annual Program Year Workshop

Shape Spaces

Shape Spaces

April 3-7, 2006

Brown University

http://www.dam.brown.edu/people/mumford/

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 |
||

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 breakDeadline: 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 |

NAME | DEPARTMENT | AFFILIATION |
---|---|---|

Iman Aganj | University of Minnesota, Twin Cities | |

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, Twin Cities |

D. Gregory Arnold | Air Force Research Laboratory | US Air Force Research Laboratory |

Douglas Arnold | Institute for Mathematics and its Applications | University of Minnesota, Twin Cities |

Donald 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 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 |

Qian-Yong Chen | Institute for Mathematics and its Applications | University of Minnesota, Twin Cities |

Yong-Seung Cho | Office of Director | National Institute for Mathematical Sciences (NIMS) |

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, Twin Cities |

Oliver Dorn | Departamento de Matemáticas | Universidad Carlos III de Madrid |

Marc Droske | Department of Mathematical Sciences | University of California, Los Angeles |

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, 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 Holm | Center for Nonlinear Studies | Los Alamos National Laboratory |

Byung-Woo Hong | Department of Computer Science | University of California, Los Angeles |

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, Twin Cities |

Sarang Joshi | Department of Radiation Oncology and Biomedical Engineering | University of North Carolina |

Yoon 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 | 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, Twin Cities |

Song-Hwa Kwon | Institute for Mathematics and its Applications | University of Minnesota, Twin Cities |

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, 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 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 | Institute for Mathematics and its Applications | 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 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, Twin Cities | |

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, 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 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, Twin Cities |

Guillermo Sapiro | Department of Electrical and Computer Engineering | University of Minnesota, Twin Cities |

Emil Saucan | Department of Electrical Engineering | 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 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, 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 | Department of Electrical and Computer Engineering | Iowa State University |

Luminita Vese | Department of Mathematics | University of California, Los Angeles |

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, Twin Cities |

Todd Wittman | School of Mathematics | University of Minnesota, Twin Cities |

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, Twin Cities |

Jean-Paul Zolesio | INRIA | Institut National de Recherche en Informatique Automatique (INRIA) |