Inverse Problems: Computational Methods and Emerging Applications

Inverse Problems Workshop Series I

October 16 - 23, 2003

Schedule and Presentations

Pictures

Deconvolution and Related Inverse Problems in the Physical Sciences
October 16 - 18, 2003

Organizing Committee:

Mario Bertero, Chair (Univ of Genova, Italy)
Keith Hege (University of Arizona)
Henry Huang (UCLA)
Kuo-Nan Liou (UCLA)
Edward Pike (Kings College, London)
Pierre Sabatier (Université de Montpellier II)

Scientific Introduction:

Applications of inverse problems are already well-developed in several domains of physical sciences since they date back to the beginning of the research in this area of applied mathematics. In most physical experiments the data are given by the convolution of the impulse response of the instrument with the physical quantity under investigation; the latter can be obtained by solving the ill-posed problem of data deconvolution. Another frequently used technique consists in illuminating a physical system by means of some kind of radiation and detecting the scattered waves. The constitution of the object can be obtained by solving the so-called inverse scattering problems, also ill-posed. The first example of these problems dates back to the beginning of nuclear physics, namely the attempt of determining the nucleon-nucleon potential from scattering data.

The aim of the workshop is to provide exhaustive surveys of some of the most important applications. Therefore the workshop consists of general-type talks, presenting the state of the art, the perspectives and the open problems of specific physical applications of inverse problems methods. These can range from microscopy and astronomy to atmosphere and Earth sciences, to rheology, medical imaging etc. It is obvious that there is an important intersection between the topics of this workshop and those of the following ones on imaging and life sciences. The talks on image deconvolution and brain imaging emphasize these links.

Speakers:

Emerging Applications of Inverse Problems Techniques to Imaging Science
October 20 - 21, 2003

Organizing Committee:

Robert Plemmons, Chair (Wake Forest University)
Yoram Bresler (University of Illinois)
Tony Chan (UCLA)
Frank Natterer (University of Muenster, Germany)
Stefano Soatto (UCLA)

Scientific Introduction:

The workshop program for "Emerging Applications of Inverse Problems Techniques to Imaging Science" consists of general presentations, as well as talks on recent research directions, presenting the state of the art, new perspectives and several open problems concerning specific "applications" of inverse problems methods. These include tomography in medical imaging, microscopy, atmospheric imaging, biometrics, integrating optics and imaging, and computer vision techniques. There are important intersections between the topics of this applications workshop and those in this series on deconvolution of physical problems, and on life sciences.

Speakers:

Inverse Problems in the Life Sciences
October 22 - 23, 2003

Organizing Committee:

Joyce McLaughlin, Chair (Rensselaer Polytechnic Institute)
Vincenzo Capasso (University of Milan)
Steve Cox (Rice University)
Kenneth Lange (UCLA)

The area of mathematical biology will grow enormously in the first part of the twenty-first century. This is driven by the vast data sets that can now be obtained using advanced laboratory equipment and by the advance of computer algorithms, together with hardware, that allow very large problems to be attacked with reasonable computer time. mathematical modeling will be a primary new area. Here the tools developed by inverse problems researchers for the identification of material properties in, e.g., oil recovery, medical imaging, radar target identification, nondestructive testing, and signal source location in the ocean provide an important base for the identification problems that arise. In addition, new imaging methods based on physical principles not utilized before and driven by new experimental results need to be addressed. The inverse problems community is well positioned to contribute and advance the solution methods for these new problems.

In this workshop our goal is to have a lively, interactive environment. The speakers include a broad based group of distinguished researchers who actively work in life sciences and can provide broad and deep perspective about their research area. The topics currently include, e.g., cancer modeling, gene networks, cell modeling, fluid dynamics and viscoelastic modeling, neurological modeling, molecular dynamics, and protein folding identification.

Speakers:

Application/Registration

We are no longer accepting applications for financial support to attend this workshop and we are no longer accepting online registrations. You may still register at the door on a space available basis.

Contact Us:

Institute for Pure and Applied Mathematics (IPAM)
Attn: INVWS1
460 Portola Plaza
Los Angeles CA 90095-7121
Phone: 310 825-4755
Fax: 310 825-4756
Email: ipam@ucla.edu
Website: http://www.ipam.ucla.edu/programs/invws1/