IMA Annual Program Year Workshop

New Mathematics and Algorithms for 3-D Image Analysis

Description:

New mathematics and algorithms are needed for 3-D image acquisition and analysis. The 3-D images come from many disciplines: biomedicine, geology, chemistry, and microfabrication. The mathematics is wide-ranging and includes at least tomography and inverse problems, wavelets, PDE, and conformal mapping. The depth of the problem and the extent of the mathematics argue for developing long-term collaborations between mathematicians and scientists. This workshops is a step toward that end.

• the combination of multiple 3-D images into a reduced set of images; and
• the analysis of images with simple geometric shapes.
A goal in the first area is to use multiple reconstructions of the raw data to better perform image segmentation. For example, edge images (e.g., using Λ-tomography) can be combined with composition images to derive a set of final images of much greater value to the experimentalists.
The analysis of simple geometric shapes has received little attention and yet could illuminate entirely new strategies in 3-D image analysis. Many non-medical problems involve high-quality images of objects with simple shapes, and this is an excellent starting point for new mathematics and algorithms.
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LIST OF CONFIRMED PARTICIPANTS

Name	Department	Affiliation
Iman Aganj	Department of Electrical and Computer Engineering	University of Minnesota
Akram Aldroubi	Department of Mathematics	Vanderbilt University
Aisha Alwehebi	Department of Mathematics	Mississippi State University
Gaik Ambartsoumian	Department of Mathematics	Texas A & M University
Jungha An	Institute for Mathematics and its Applications	University of Minnesota
Mark A. Anastasio	Pritzker Institute of Medical Engineering	Illinois Institute of Technology
Fredrik Andersson	Department of Mathematics	Lund University
D. Gregory Arnold	Air Force Research Laboratory	US Air Force Research Laboratory
Douglas N. Arnold	School of Mathematics	University of Minnesota
Donald G. Aronson	School of Mathematics	University of Minnesota
Heath Barnett	Department of Chemistry	Louisiana State University
Evgeniy Bart	Institute for Mathematics and its Applications	University of Minnesota
Aleksei Beltukov	Department of Mathematics	University of the South Pacific
Francisco Blanco-Silva	Department of Mathematics	Purdue University
Edward Howard Bosch	Basic and Applied Research	National Geospatial Intelligence Agency
Oliver Brunke	ZARM	Universität Bremen
Les G. Butler	Department of Chemistry	Louisiana State University
Youngjoon Cha	Department of Applied Mathematics	Sejong University
Kyle Champley	Department of Mathematics	Oregon State University
Guangliang Chen	Department of Mathematics	University of Minnesota
Qianyong Chen	Institute for Mathematics and its Applications	University of Minnesota
Jens Gerlach Christensen	Department of Mathematics	Louisiana State University
Ivan Christov	Department of Mathematics	Texas A & M University
Steven Benjamin Damelin	Department of Mathematical Sciences	Georgia Southern University
Susanna Dann	Department of Mathematics	Louisiana State University
Yves Defrenne	Bio Based Products (CNR)	University of Minnesota
Brian DiDonna	Institute for Mathematics and its Applications	University of Minnesota
Diane Eaker		Mayo Clinic
Boris Aharon Efros	Department of Industrial Engineering	Ben Gurion University of the Negev
Selim Esedoglu	Department of Mathematics	University of Michigan
Adel Faridani	Department of Mathematics	Oregon State University
Alex Gittens	Department of Mathematics	University of Houston
Natalia Grinberg	Department of Mathematics	Universität Fridericiana (TH) Karlsruhe
Changfeng Gui	Department of Mathematics	University of Connecticut
Jooyoung Hahn	Division of Applied Mathematics	Korea Advanced Institute of Science and Technology (KAIST)
Kyungmin Ham	Center for Advanced Microstructures and Devices	Louisiana State University
Hazem Hamdan	School of Mathematics	University of Minnesota
Gloria Haro Ortega	Institute for Mathematics and its Applications	University of Minnesota
Gabor T. Herman	Department of Computer Science	City University of New York (CUNY)
Michael Hofer	Department of Mathematics and Geoinformation	Technische Universität Wien
Kathleen Hoffman	Department of Mathematics and Statistics	University of Maryland Baltimore County
Xiang Huang	Department of Mathematics	University of Connecticut
Steven Izen	Department of Mathematics	Case Western Reserve University
Saurabh Jain	Department of Mathematics	University of Houston
Sookyung Joo	Institute for Mathematics and its Applications	University of Minnesota
Yoon Mo Jung	School of Mathematics	University of Minnesota
George Kamberov	Department of Computer Science	Stevens Institute of Technology
Sung Ha Kang	Department of Mathematics	University of Kentucky
Alexander Katsevich	Department of Mathematics	University of Central Florida
Richard Ketcham	Department of Geological Science	University of Texas
Seongjai Kim	Department of Mathematics and Statistics	Mississippi State University
SungWan Kim	Department of Mathematics	Yonsei University
Carl E. Krill	Materials Division	Universität Ulm
Peter Kuchment	Department of Mathematics	Texas A & M University
Matthias Kurzke	Institute for Mathematics and its Applications	University of Minnesota
Song-Hwa Kwon	Institute for Mathematics and its Applications	University of Minnesota
David Larson	Department of Mathematics	Texas A & M University
Chang-Ock Lee	Division of Applied Mathematics	Korea Advanced Institute of Science and Technology (KAIST)
Gilad Lerman	School of Mathematics	University of Minnesota
Ofer Levi	Department of Industrial Engineering and Mgmt Sciences	Ben Gurion University of the Negev
Stacey E. 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 Y Liao	Institute for Mathematics and its Applications	University of Minnesota
Hyeona Lim	Department of Mathematics and Statistics	Mississippi State University
W. Brent Lindquist	Department of Applied Mathematics and Statistics	SUNY
Jundong Liu	Department of Electrical Engineering and Computer Science	Ohio University
Bradley J. Lucier	Department of Mathematics	Purdue University
Alison Malcolm	Institute for Mathematics and its Applications	University of Minnesota
Thomas H. Mareci	Department of Biochemistry and Molecular Biology	University of Florida
Peter R. Massopust		Tuboscope Pipeline Services
Olga Mendoza	Sensors Directorate/Automatic Target Recognition Division	US Air Force Research Laboratory
Willard Miller	School of Mathematics	University of Minnesota
Frank Natterer	Fachbereich Mathematik	Westfälische Wilhelms-Universität Münster
Ozan Oktem	Research and Development	Sidec Technologies
Gestur Olafsson	Department of Mathematics	Louisiana State University
Peter J. Olver	School of Mathematics	University of Minnesota
Winston Ou	Institute for Mathematics and its Applications	University of Minnesota
Manos Papadakis	Department of Mathematics	University of Houston
Sarah K. Patch	Department of Physics	University of Wisconsin
Thomas Posbergh	Department of Electrical Engineering and Computer Science	University of Minnesota
Henning Friis Poulsen	Riso National Laboratory	Technical University of Denmark
Eric Todd Quinto	Department of Mathematics	Tufts University
Gregory J. Randall	Instituto de Ingenieria Electrica	University of the Republic
Walter Richardson	Department of Mathematical Sciences	University of Texas
Erik L. Ritman	Department of Physiology and Biophysics	Mayo Clinic
Justin Romberg		California Institute of Technology
Juan Romero	Department of Mathematics	University of Houston
Partha S. Routh	Department of Geoscience	Boise State University
Hans Rullgård	Department of Mathematics	University of Stockholm
Steven Ruuth	Department of Mathematics	Simon Fraser University
Fadil Santosa	Institute for Mathematics and its Applications	University of Minnesota
Guillermo R. Sapiro	Department of Electrical and Computer Engineering	University of Minnesota
Arnd Scheel	School of Mathematics	University of Minnesota
Jin Keun Seo	Department of Mathematics	Yonsei University
Tatiana Soleski	Institute for Mathematics and its Applications	University of Minnesota
Pablo Sprechmann	Instituto de Ingenieria Electrica	University of the Republic
Peter Stiller	Department of Mathematics	Texas A & M University
Nathaniel Kirk Strawn	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
Jing Wang		ViTAL Images, Inc.
Jingyue Wang	Department of Mathematics	Purdue University
Xiaoqiang Wang	Institute for Mathematics and its Applications	University of Minnesota
Eric S. Weber	Department of Mathematics	Iowa State University
Martin Welk	Mathematical Image Analysis Group	Universität des Saarlandes
Art W. Wetzel	Biomedical Initiative Group	Pittsburgh Supercomputing Center
Thomas Neil Williams	Department of Mathematics	Mississippi State University
Graham A. Winbow	Subsurface Imaging Division	ExxonMobil
Alex Zamyatin	Research and Development	BIR, Inc.
Ofer Zeitouni	Mathematics Department	University of Minnesota