Applied Inverse Problems: Theoretical and Computational Aspects

May 18 - 23, 2003

Schedule


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
RPI

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
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 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
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 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
Mathematics

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
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 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
Stanford

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

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 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
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 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
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