Wavelets and Scattering.
Abstract
This is the final report on the project entitled Wavelets and Scattering supported under AFOSR grant 90-307. During this project wavelets were used to analyze several problems in signal processing, quantum optics, elastic wave nondestructive evaluation, electromagnetic scattering and the dielectric response of water. The grant supported students. One of them, Dr. C. R. Thompson is now an AF Captain in the ODEL Division at Brooks AFB in Texas. A number of research papers were published including the first calculation of p-wavelets. Another publication shows the scale change of wavelet theory corresponds to the squeezing operation in quantum optics. A wavelet approach to visual recognition of faces was completed and has been submitted for publication. The Claderon-Grossmann-Morlet reproducing formula was shown to hold for the two-sided ideal of Filbert-Schmidt operators. In elastic wave NDE, the frequency scales in phase space for the front face echo were shown to require a very different compression from the other scales. New results on Naxwellts equations in regions with Lipschitz boundaries were published.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 29, 1994
- Accession Number
- ADA292746
Entities
People
- Brian Defacio
- Grant V. Welland
Organizations
- University of Missouri