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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 18, Iss. 8 — Apr. 12, 2010
  • pp: 8171–8181

Continuum fusion: a theory of inference, with applications to hyperspectral detection

Alan Schaum  »View Author Affiliations


Optics Express, Vol. 18, Issue 8, pp. 8171-8181 (2010)
http://dx.doi.org/10.1364/OE.18.008171


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Abstract

A new theoretical framework is created for the class of detection problems traditionally addressed by the generalized likelihood ratio test. Absent prior knowledge that would permit implementation of the optimal detector, a family of optimal detectors is fused according to any one of a group of criteria. Geometrical solutions are presented to several specific problems motivated by hyperspectral signal processing. For the general case, a set of partial differential relations is derived. The generalized likelihood ratio test is shown to be equivalent to one of several flavors of continuum fusion detector.

© 2010 OSA

OCIS Codes
(280.0280) Remote sensing and sensors : Remote sensing and sensors
(110.4234) Imaging systems : Multispectral and hyperspectral imaging
(280.4991) Remote sensing and sensors : Passive remote sensing

ToC Category:
Remote Sensing

History
Original Manuscript: November 13, 2009
Revised Manuscript: January 29, 2010
Manuscript Accepted: February 5, 2010
Published: April 2, 2010

Citation
Alan Schaum, "Continuum fusion: a theory of inference, with applications to hyperspectral detection," Opt. Express 18, 8171-8181 (2010)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-18-8-8171


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References

  1. Louis Scharf, Statistical Signal Processing (USA, Addison-Wesley, 1990).
  2. K. Pearson, “Mathematical Contributions to the Theory of Evolution. III. Regression, Heredity, and Panmixia,” Phil. Trans. 187, 253–318, (1895), http://www.jstor.org/stable/90707 .
  3. A. Schaum, Hyperspectral Target Detection using a Bayesian Likelihood Ratio Test, Proceedings 2002 IEEE Aerospace Conference, Vol. 3, Pages 3–1537 to 3–1540, 9–16 March 2002.
  4. Eric Weisstein, “Envelope,” http://mathworld.wolfram.com/Envelope.html .

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