Accession Number:

ADA402706

Title:

Novel Mathematical/Computation Approaches to Image Exploitation

Descriptive Note:

Final rept. 15 Apr 2000-14 Apr 2002

Corporate Author:

MASSACHUSETTS TECHNOLOGICAL LAB INC BELMONT

Personal Author(s):

Report Date:

2002-05-03

Pagination or Media Count:

121.0

Abstract:

During the last ten years considerable effort has taken place to extend the range of applicability of nonabelian group methods to the design of new filters and spectral analysis methodologies 8,9,5, as an image processing tool 11,13,19,20. Many efforts at finding a significant role for nonabelian group theory in DSP and image processing applications as well as in coding and communication theory have been limited by some or all of the following 1 The choice of an appropriate group or group in a given application is not obvious. 2 The lack of a large class of groups whose harmonic analysis is sufficiently understood for meaningful applications. 3 The absence of a conceptual framework which relates group harmonic analysis to physically interpretable results. 4 Fast algorithms may exist but are difficult to code as they do not easily lend themselves to modication. 5 The lack of relevant models for applications which are not only a rephrasing of known methods or what is immediately available.

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE