A new formalism has been developed for producing detection algorithms in model-based problems, in which one or more parameter values is unknown. Continuum fusion can be used to generate different flavors of algorithm for any composite hypothesis testing problem. The method is defined by a fusion logic that can be translated into a set of partial differential relations. However, some important hyperspectral models can be solved with purely geometrical means, one of which is described. The new methodology affords a new interpretation of the orthodox solution, the generalized likelihood ratio test, which is revealed as but one point in a spectrum of fusion methods.

Date Published: 12 May 2010
PDF: 5 pages
Proc. SPIE 7695, Algorithms and Technologies for Multispectral, Hyperspectral, and Ultraspectral Imagery XVI, 769502 (12 May 2010); doi: 10.1117/12.849475

Published in SPIE Proceedings Vol. 7695:
Algorithms and Technologies for Multispectral, Hyperspectral, and Ultraspectral Imagery XVI
Sylvia S. Shen; Paul E. Lewis, Editor(s)