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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 11, Iss. 4 — Apr. 1, 1994
  • pp: 1243–1252

Application of the stabilizing functional approach to pattern-recognition filters

Ph. Réfrégier  »View Author Affiliations


JOSA A, Vol. 11, Issue 4, pp. 1243-1252 (1994)
http://dx.doi.org/10.1364/JOSAA.11.001243


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Abstract

The application of a regularization technique to filter synthesis in pattern recognition with synthetic discriminant function filters is presented. The proposed technique uses the stabilizing functional approach for two-dimensional ill-posed problems. Filter synthesis is thus formulated as the minimization of some relevant criteria with specified correlation values for some training input images and limited maximum value of a stabilizing functional. The choice of a particular stabilizing functional to be minimized is related to a priori knowledge regarding the pattern-recognition problem. The analogy between the regularization methods and optimal trade-off filters is also presented and is illustrated with numerical experiments.

© 1994 Optical Society of America

History
Original Manuscript: May 21, 1993
Revised Manuscript: September 28, 1993
Manuscript Accepted: October 6, 1993
Published: April 1, 1994

Citation
Ph. Réfrégier, "Application of the stabilizing functional approach to pattern-recognition filters," J. Opt. Soc. Am. A 11, 1243-1252 (1994)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-11-4-1243

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