Novel Mathematical/Computation Approaches to Image Exploitation
Abstract
A study of the harmonic analysis of finite abelian groups and a class of finite nonabelian groups is presented. The restriction to groups of the form G = A not B and their generalizations permit harmonic analysis to proceed by abelian group character theory. This results in: 1) a direct link with abelian group harmonic analysis and consequently with physical interpretation. 2) automatic procedures for constructing direct sum decompositions of the group algebras into irreducible invariant subspaces. 3) algorithms for computing bases of irreducible, invariant subspaces and spectral bases compatible with direct sum decompositions. 4) fast algorithms for representing data over spectral basis. 5) an extensive new class of fast unitary transforms for data analysis. Extensive numerical experiments have shown the potential power of this technique for texture analysis and feature extraction in the presence of noise.
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 17, 1999
- Accession Number
- ADA360922
Entities
People
- Bryant York
- Myong An
- Richard Tolimieri
- Ta-ming Fang