Applied Inverse Problems: Theoretical and Computational Aspects

May 18 - 23, 2003


Sunday, May 18, 2003

8:00 - 9:00 Wolfgang Ring (University of Graz)

A level-set approach for the solution of a non-smooth inverse source problem

Monday, May 19, 2003

9:00 - 9:45 George Papanicolaou (Stanford University)

Remote sensing and communications in scattering environments

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 Dianne O' Leary (University of Maryland)

Blind Image Deblurring through Structured Total Least Squares

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

Recent Progress in Electrical Impedance Tomography

2:20 - 2:50 Oliver Dorn (Universidad Carlos III de Madrid)

A level set method for shape reconstruction in Diffuse Optical Tomography

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 Philipp Kuegler (University of Linz)

Iterative Parameter Identification in Elliptic PDEs with Application to Electrostatics

2:20 - 2:50 Luisa D'Amore (University of Napoli)

A parallel virtual machine for edge preserving regularization in image analysis

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 Chris Johnson (University of Utah)

Inverse Bioelectric Field Problems: Modeling, Simulation, and Visualization

2:50 - 3:20 Ronald H.W. Hoppe
Universitat Augsburg

Joint with

Svetozara Petrova
Universitat Augsburg

Primal-Dual Newton Interior Point Methods for PDE constrained optimization problems with applications in shape and topology optimization

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 Wolfgang Ring (University of Graz)

Stability and Convergence Results for a Class of Sequential Predictor-Corrector Regularization Methods for Ill-Posed Volterra Equations

3:20 - 3:50 Dan Renzi

Joint with

Joyce Mclauglin
Rensselaer Polytechnic Institute
Department of Mathematics

Relative stiffness imaging in biological tissue

3:20 - 3:50 Michele Joyner (State University of West Georgia)

Computational Algorithms for Electromagnetic Interrogation using Reduced Order Proper Orthogonal Decomposition Techniques

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 Aaron Cinzori (Hope College)

Future polynomial regularization of ill-posed Volterra problems

4:15 - 4:45 Bahman Anvari (Rice University)

Solving an inverse heat transfer problem to estimate the instantaneous heat flux during cryogenic spray cooling of skin

4:15 - 4:45 Fiorella Sgallari (Universita di Bologna)

Co-volume method for Riemannian mean curvature flow in subjective surfaces multiscale segmentation

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

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 Thomas Scofield (Calvin College)

Predictor-Corrector Regularization for weakly-singular integral equations of the first kind

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 Guillaume Bal (Columbia University)

Optical tomography for small volume absorbing inclusions

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

Nonlinear Inverse Problems in Optical Tomography

5:15 - 5:45 Muriel Roche (University of Marseille)

Constrained ML and MAP Image restoration algorithms Ringing effects reduction and influence of the "a priori" image in regularization

5:15 - 5:45 Adel Faridani (Oregon State University)

Applications of Shannon Sampling Theory in Computed Tomography

5:45 - 6:15 Emmanuel Candes

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 Steve Cox (Rice University)

Determination of spatial and temporal heterogeneities from multi-potential single nerve cell recordings

1:30 - 2:15 Rainer Kress
Univ of Gottingen, Germany

Newton's method for inverse obstacle scattering meets the method of least squares

2:20 - 2:50 Oliver Dorn (Universidad Carlos III de Madrid)

Shape reconstruction in 3D Electromagnetic Induction Tomography using level sets

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 Arnold Kim (Stanford University)

Intersymbol Interference in Time Reversal Communications

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

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 Jari Kaipio (University of Kuopio)

Posterior covariances, optimal current patterns and nonstationary electrical impedance tomography

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 Martin Burger (UCLA)

Nonlocal geometric motions for growth processes and inverse problems

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

Multiscale Geometry Estimation in Natural Images

2:50 - 3:20 Guillaume Bal (Columbia University)

Time splitting, statistical stability, and time reversal

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 Peter Philip (Weierstrass Institute, Berlin)

Towards Optimal Control of Sublimation Growth of SiC Bulk Single Crystals

3:20 - 3:50 David Bortz (University of Michigan)

A Comparison of Mathematical Models of HIV Pathogenesis

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 Yanyuan Ma (SAMSI / CRSC)

A Simulation Based comparison Between Parametric and Semiparametric Method in a PBPK Model

4:15 - 4:45 Chrysoula Tsogka (CNRS/LMA, France)

Resolution estimation for imaging and time reversal

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 Gang Bao (Michigan State University)

Studies on inverse problems in electromagnetics: a preliminary report

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 Luminita Vese (UCLA)

Geometric motions arising in image processing and material science

4:45 - 5:15 Sarah Holte (FHCRC)

An alternative to non-linear least squares for parameter estimation in ordinary differential equations models.

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 Thorsten Hohage (University of Gottingen, Germany)

On the numerical solution of a three-dimensional electromagnetic scattering problems

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

Joint work with A.G. Kosovichev

Helioseismic Tomography

5:15 - 5:45 Russel Caflisch (UCLA)

Design and Optimization of a Qubit

5:15 - 5:45 Daniel Walsh (SAMSI)

Inverse Problems in Complex Model Validation

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 Lester Caudill (University of Richmond)

Boundary Determination from Overposed Boundary Data in Parabolic Problems

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 Stanley Osher (IPAM)

The Level Set Method and Inverse Problems

11:00 - 11:45 Maarten deHoop (Colorado School of Mines)

The downward continuation approach to seismic inverse scattering

Thursday, May 22, 2003

9:00 - 9:45 Edward Pike (King's College, London)

Inverse problems in optical microscopy and optical disc storage

9:45 - 10:30 Mario Bertero (Univ of Genova, Italy)

Image restoration problems for new-generation ground-based telescopes

11:00 - 11:45 Kenneth Lange (UCLA)

Molecular Phylogeny: Codon and Rate Variation Models

1:30 - 2:15 Otmar Scherzer
University of Innsbruk, Austria
Computer Science

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 Amel Ben Abda
Enit-Lamsin, Tunisia
Genie Industriel

A quasi-explicit method for line segment crack recovery from partial boundary measurements

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

Joint work with Kristian Sandberg

Wave propagation using bandlimited functions

2:20 - 2:50 Thomas Dierkes (Research Centre Juelich)

NIR imaging using eigenfunctions of the diffusion measurement operator

2:20 - 2:50 Robert Nowak (Rice University)

A Statistical Multiresolution Approach to Inverse Problems

2:20 - 2:50 Gunther Uhlmann (University of Washington)

A Barber-Brown type algorith in 3D Electrical Impedance Tomography

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 Maren Geisel (University of Mainz)

An inverse problem for the degenerate parabolic Richards equation

2:50 - 3:20 Bradley Lucier

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 Trond Mannseth (RF-Rogaland Research, Norway)

Adaptive Multiscale Identification of the Fluid Conductivity Function within Porous-media Flow

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 Nuutti Hyvonen (Helsinki University of Technology, Finland)

Characterizing inclusions using a linear sampling method based on the complete electrode model of impedance tomography

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

Resolution for radar and X-ray tomography

4:15 - 4:45 Samuli Siltanen (Gunma University)

Bayesian inversion for X-ray tomography with few data

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

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