Accession Number : ADA292746

Title :   Wavelets and Scattering.

Descriptive Note : Final rept. 1 Jun 90-31 May 94,

Corporate Author : MISSOURI UNIV-ST LOUIS

Personal Author(s) : Welland, Grant V. ; DeFacio, Brian

PDF Url : ADA292746

Report Date : 29 JUL 1994

Pagination or Media Count : 7

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.

Descriptors :   *SIGNAL PROCESSING, *ELECTROMAGNETIC SCATTERING, *ELASTIC WAVES, OPTICS, SCATTERING, WATER WAVES, NONDESTRUCTIVE TESTING, QUANTUM THEORY, DIELECTRICS, VISUAL PERCEPTION, INVERSE SCATTERING.

Subject Categories : Electricity and Magnetism
      Optics

Distribution Statement : APPROVED FOR PUBLIC RELEASE