Wavelets and Scattering
Abstract
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. 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 Calderon- Grossmann-Morlet reproducing formula was shown to hold for the two-sided ideal of Hilbert-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 Maxwell's equations in regions with Lipschitz boundaries were published. Wavelets, Signal processing, Optics, Nondestructive evaluation, Electromagnetism, Inverse problems and applied mathematics
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 29, 1994
- Accession Number
- ADA284131
Entities
People
- Brian Defacio
- Grant V. Welland