Applied Inverse Problems: Theoretical and Computational Aspects

May 18 - 23, 2003

Schedule


Sunday, May 18, 2003

8:00 - 9:00

Monday, May 19, 2003

9:00 - 9:45
9:45 - 10:30
Douglas Gough (Cambridge University)

Inversion of helioseismic data

11:00 - 11:45
Simon Arridge (University College, London)

Reconstruction Methods in Optical Tomography

1:30 - 2:15
1:30 - 2:15
Martin Hanke (University of Mainz, Germany)

Recent Progress in Electrical Impedance Tomography

2:20 - 2:50
2:20 - 2:50
Lars Eld'en
Department of Mathematics
Linkoping University

Joint with

Fredrik Berntsson
Department of Mathematics
Linkoping University

Numerical Solution of Cauchy Problems for Elliptic PDE's in Complex Geometries

2:20 - 2:50
Lin Ji (Rensselaer Polytechnic Institute)

Stiffness Identification in Biological Tissues

2:20 - 2:50
Daniela Calvetti (Case Western Reserve University)

Iterative methods for Tikhonov regularization

2:20 - 2:50
2:20 - 2:50
2:50 - 3:20
Fredrik Berntsson
Department of Mathematics
Linkoping University

Joint with

Lars Eld'en
Department of Mathematics
Linkoping University

Identification of coefficients in parabolic equations

2:50 - 3:20
Jeong-Rock Yoon
Rensselaer Polytechnic Institute

Joint with

Joyce. R. McLaughlin
Rensselaer Polytechnic Institute

Unique identifiability of elastic parameters from time dependent interior displacement measurement

2:50 - 3:20
2:50 - 3:20
2:50 - 3:20
Christine De Mol
University of Brussels

Joint work with Ingrid Daubechies and Michel Defrise

Regularization of linear inverse problems by sparsity constraints

2:50 - 3:20
Ville Kolehmainen (University of Kuopio)

Dynamic optical tomography

3:20 - 3:50
Jenni Heino
Helsinki University of Technology

Authors: Jenni Heino, Simon Arridge, Jan Sikora and Erkki Somersalo

Anisotropic light propagation: models and numerical experiments

3:20 - 3:50
3:20 - 3:50
Dan Renzi
RPI

Joint with

Joyce Mclauglin
Rensselaer Polytechnic Institute
Department of Mathematics

Relative stiffness imaging in biological tissue

3:20 - 3:50
3:20 - 3:50
Misha Kilmer
Tufts University

Joint with Eric Miller (Northeastern University), Alethea Barbaro (Tufts University), David Boas (MGH and Havard Medical School)

3D Shape-based Imaging for Diffuse Optical Tomography

3:20 - 3:50
Almerico Murli (Universita' di Napoli)

 

4:15 - 4:45
4:15 - 4:45
4:15 - 4:45
4:15 - 4:45
Martin Burger
Univ Linz, Austria

Co-Author: Rene Pinnau, TU Darmstadt, Germany

Fast optimal design of semiconductor devices

4:15 - 4:45
Stephen Wright (University College, London)

Towards higher order solutions for the Boltzmann equation

4:15 - 4:45
Michele Piana
Universita di Genova

Joint with M Bertero, F Conte, G Marrocco and A M Massone

Chirp-Pulse Microwave Computerized Tomography: An Analysis Based on an FD-TD Method and on Scattering Theory

4:45 - 5:15
Anna Maria Massone
INFM

Joint with J.C. Brown, A.G. Emslie, E.P. Kontar, M. Piana and R.A. Schwartz

An Inverse Problem in Solar Physics: The RHESSI Mission and the July 23, 2002 Flare

4:45 - 5:15
4:45 - 5:15
Robert S. MacLeod
Univ of Utah

Multiple Authors: Robert S. MacLeod, Yesim Serinagaoglu, Bulent Yilmaz, and Dana H. Brooks University of Utah, Salt Lake City, Utah and Northeastern University, Boston, MA.

Imposing Multiple Constraints in Electrocardiographic Inverse Problems

4:45 - 5:15
Abdallah Shuibi (Kent State University)

Enriched Krylov Subspace Methods For Ill-Posed Problems

4:45 - 5:15
Andreas Rieder (Universitaet Karlsruhe, Germany)

Convergence of the filtered backprojection algorithm

4:45 - 5:15
5:15 - 5:45
John Schotland (University of Pennsylvania)

Nonlinear Inverse Problems in Optical Tomography

5:15 - 5:45
5:15 - 5:45
5:45 - 6:15
Emmanuel Candes
Caltech

Joint work with

David Donoho

Curvelets and limited-angle tomography


Tuesday, May 20, 2003

9:00 - 9:45
William Kuperman (University of California at San Diego)

Acoustic Time Reversal in the Ocean

9:45 - 10:30
Brett Borden (Naval Postgraduate School)

Problems in Image Construction From Radar Data

11:00 - 11:45
Erkki Somersalo (Helsinki University of Technology, Finland)

Non-stationary inverse problems nad Bayes filtering

1:30 - 2:15
1:30 - 2:15
2:20 - 2:50
2:20 - 2:50
Blaise Bourdin
Louisiana State University

Joint with Antonin Chambolle

Phase field method in Optimal Design

2:20 - 2:50
Felix Herrmann (University of British Columbia, Vancouver)

Optimal seismic imaging: a basis-function approach

2:20 - 2:50
2:20 - 2:50
Carlos Alves
Instituto Superior Tecnico, Lisbon, Portugal
Mathematics

Acoustic obstacle detection using a point-source reciprocity gap function

2:20 - 2:50
Robert Carlson (University of Colorado)

A Spectral Transform for the Matrix Hill's Equation

2:20 - 2:50
2:50 - 3:20
Lixin Wu
Department of Math
Claremont Graduate University

Joint work: A. Attiyah, E. Cumberbatch, A. Limon, and L. Wu

A New Algorithm for Capacitance Tomography Imaging of Two-phase Flow Regimes

2:50 - 3:20
2:50 - 3:20
Richard Baraniuk (Rice University)

Multiscale Geometry Estimation in Natural Images

2:50 - 3:20
2:50 - 3:20
Tilo Arens
Universitaet Karlsruhe, Germany

Co-Authors: Andreas Kirsch, Natalia Grinberg

Inverse Scattering by a Periodic Surface: An Application of the Factorization Method

2:50 - 3:20
Vjacheslav Pivovarchik (Pyvovarchyk) (Odessa State Academy of Structure and Architecture, Ukraine)

Inverse Problem for the Sturm-Liouville Equation on a Star-Shaped Graph

2:50 - 3:20
Alberto Malinverno (Schlumberger-Doll Research)

Expanded Uncertainty Accounting in Inverse Problems

3:20 - 3:50
Thomas Schuster (Tufts University)

A new Approach to Inversion in Sonar Tomography

3:20 - 3:50
3:20 - 3:50
3:20 - 3:50
Knut Solna (University of California at Irvine)

Propagation and estimation in a turbulent medium

3:20 - 3:50
Fioralba Cakoni
University of Delaware

Joint work with D. Colton and H. Haddar

The electromagnetic inverse scattering for anisotropic media.

3:20 - 3:50
Chun-Kong Law (Nat'l Sun Yat-sen Univ)

On the nodal map of the inverse Sturm-Liouville problem

3:20 - 3:50
Geoff Nicholls
Auckland University

Authors: Ian McKeague, Geoff Nicholls and Kevin Speer
Mathematics Department
Auckland University, New Zealand

Physics-based Bayesian inference from oceanographic data

4:15 - 4:45
Carlos Alves
Instituto Superior Tecnico, Lisbon, Portugal

Joint work with P. Serranho

Identifying the flatness of a crack by acoustic scattering

4:15 - 4:45
Richard Tsai
Princeton University

Joint work with Bjorn Engquist

Heterogeneous Multiscale Methods for Stiff Ordinary Differential Equations

4:15 - 4:45
4:15 - 4:45
4:15 - 4:45
Amel Ben Abda
Enit-Lamsin, Tunisia

Joint work with Fabrice Delbary, Houssem Haddar

On the use of the reciprocity gap functional in inverse scattering from planar cracks

4:15 - 4:45
Joergen Christensen-Dalsgaard (University of Aarhus, Denmark)

Helioseismic inferences of the physics of the solar interior

4:15 - 4:45
4:45 - 5:15
Samuel Amstutz
Universite Paul Sabatier, France

Joint with Imen Horchani, ENIT-LAMSIN, Tunisia

The topological asymptotic for the localization of cracks

4:45 - 5:15
4:45 - 5:15
4:45 - 5:15
Liliana Borcea
Rice University

Collaborators: George Papanicolaou and Chrysoula Tsogka

Imaging the reflectivity of targets in random media, in remote sensing regimes

4:45 - 5:15
4:45 - 5:15
Kai Huang
UC Irvine

Joint work with Gang Bao

Optimal design of guided mode grating resonance filters

4:45 - 5:15
S. Couvidat
Stanford

Joint work with A.G. Kosovichev

Helioseismic Tomography

5:15 - 5:45
5:15 - 5:45
5:15 - 5:45
Amin Boumenir (State University of West Georgia)

The recovery of analytic potentials

5:15 - 5:45
Shari Moskow
University of Florida

Authors: Habib Ammari, Ekaterina Lakovleva and Shari Moskow

Recovery of Small Inhomogeneities From the Scattering Amplitude at a Fixed Frequency

5:15 - 5:45

Wednesday, May 21, 2003

9:00 - 9:45
Gunther Uhlmann (University of Washington)

On determining the index of refraction in anisotropic media

9:45 - 10:30
11:00 - 11:45

Thursday, May 22, 2003

9:00 - 9:45
9:45 - 10:30
11:00 - 11:45
1:30 - 2:15
Otmar Scherzer
University of Innsbruk, Austria
Computer Science

Authors:
A. Leit, Department of Mathematics, Federal University of St. Catarina, Florianopolis, Brazil and
O. Scherzer, University Innsbruck, Austria

On the Relation between Constraint Regularization, Level Sets, and Shape Optimization

1:30 - 2:15
Margaret Cheney (Rensselaer Polytechnic Institute)

Microlocal Methods in Inverse Synthetic Aperture Radar

2:20 - 2:50
John Schotland (University of Pennsylvania)

Near-Field Optical Tomography

2:20 - 2:50
2:20 - 2:50
Gregory Beylkin
Univ. of Colorado, Boulder

Joint work with Kristian Sandberg

Wave propagation using bandlimited functions

2:20 - 2:50
2:20 - 2:50
2:20 - 2:50
2:50 - 3:20
Fioralba Cakoni (University of Delaware)

The inverse electromagentic scattering problem for screens

2:50 - 3:20
Roland Potthast (University of Gottingen, Germany)

Solving time-dependent inverse acoustic scattering problems

2:50 - 3:20
2:50 - 3:20
Bradley Lucier
Purdue

Joint work with Nam-Yong Lee, Inje University, Korea

Wavelet Methods for Medical Tomography

2:50 - 3:20
Christiaan Stolk
Ecole Polytechnique

Joint work with Peng Shen and Bill Symes from Rice University

Differential semblance velocity analysis using wave-equation imaging

2:50 - 3:20
Hongkai Zhao (University of California at Irvine)

A Fast Sweeping Algorithm for the Eikonal Equation

3:20 - 3:50
3:20 - 3:50
Hongkai Zhao (University of California at Irvine)

Time reversal and imaging using active arrays

3:20 - 3:50

To Be Announced

3:20 - 3:50
Margaret Cheney (Rensselaer Polytechnic Institute)

Resolution for radar and X-ray tomography

3:20 - 3:50
Gerard Schuster
University of Utah

Joint work with Jianhua Yu

Seismic Interferometric Imaging

4:15 - 4:45
Mohamed Jaoua
University of Tunis

Joint work with Serge Nicaise and Luc Paquet

Identification of cracks with non linear impedances

4:15 - 4:45
Yu Chen (New York University/Courant Institute of Mathematical Sciences)

Splitting scattering matrix for inversion

4:15 - 4:45
4:15 - 4:45
Margaret Cheney (Rensselaer Polytechnic Institute)

Resolution for radar and X-ray tomography

4:15 - 4:45
4:45 - 5:15
Dave Higdon
Los Alamos National Laboratories

Joint work with Herbie Lee (UCSC) and Chris Holloman (Duke U)

Simulation Based Inference in Computationally Intensive Inverse Problems

4:45 - 5:15
Rolf Clackdoyle
University of Utah

Co-Authors: J-M Wagner, F Noo

Inversion of the 3D exponential x-ray transform.


Friday, May 23, 2003

8:00 - 9:00
Barbara Kaltenbacher (University of Erlangen, Germany)

Identification of magnetic and piezoelectric material parameters

9:00 - 9:45
Andreas Kirsch (University of Karlsruhe, Germany)

Factorization Methods in Inverse Scattering Theory

9:45 - 10:30
Tony Chan
UCLA
Mathematics

Joint work with Xue-Cheng Tai, Eric Chung, Marius Lysaker

Geometric Modeling using Level Sets in Elliptic Inverse and Tomography Problems

11:00 - 11:45
Frank Natterer (University of Muenster, Germany)

3D Emission Tomography via Plane Integrals