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Applied Optics

Applied Optics


  • Vol. 33, Iss. 17 — Jun. 10, 1994
  • pp: 3751–3759

Unconstrained correlation filters

Abhijit Mahalanobis, B. V. K. Vijaya Kumar, Sewoong Song, S. R. F. Sims, and J. F. Epperson  »View Author Affiliations

Applied Optics, Vol. 33, Issue 17, pp. 3751-3759 (1994)

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A mathematical analysis of the distortion tolerance in correlation filters is presented. A good measure for distortion performance is shown to be a generalization of the minimum average correlation energy criterion. To optimize the filter’s performance, we remove the usual hard constraints on the outputs in the synthetic discriminant function formulation. The resulting filters exhibit superior distortion tolerance while retaining the attractive features of their predecessors such as the minimum average correlation energy filter and the minimum variance synthetic discriminant function filter. The proposed theory also unifies several existing approaches and examines the relationship between different formulations. The proposed filter design algorithm requires only simple statistical parameters and the inversion of diagonal matrices, which makes it attractive from a computational standpoint. Several properties of these filters are discussed with illustrative examples.

© 1994 Optical Society of America

Original Manuscript: March 29, 1993
Revised Manuscript: November 15, 1993
Published: June 10, 1994

Abhijit Mahalanobis, B. V. K. Vijaya Kumar, Sewoong Song, S. R. F. Sims, and J. F. Epperson, "Unconstrained correlation filters," Appl. Opt. 33, 3751-3759 (1994)

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