Mathematical Problems in Imaging, Statistical Mechanics and Related Topics
Abstract
During the duration of this grant I did carry out work on a few loosely related areas, including diffuse tomography, the phase problem in X-ray crystallography, some relations between the Darboux process applied to orthogonal polynomials and the electrostatic interpretation of their zeros, and a number of specific problems related to the bispectral problem. This last one is an area that I initiated about a decade ago starting from a concrete problem in medical imaging. This field has made contact with several unrelated fields in mathematics, ranging from wave propagation, cumulative rings of differential operators, etc. I expect that some of these topics will continue to be of interest to the Air Force, although some of the efforts may have to be redirected. As an example I notice that my initial work on Diffuse Tomography could become of some relevance to work being done at the Air Force Research Laboratory at Kirkland AFB, in the Advanced Optics and Imaging Division by Dr. Charles Matson.
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 31, 1999
- Accession Number
- ADA385549
Entities
People
- F. A. Grunbaum
Organizations
- University of California, Berkeley