OSA's Digital Library

Applied Optics

Applied Optics


  • Vol. 41, Iss. 32 — Nov. 11, 2002
  • pp: 6829–6840

Two class minimax distance transform correlation filter

Marios Savvides, B. V. K. Vijaya Kumar, and Pradeep K. Khosla  »View Author Affiliations

Applied Optics, Vol. 41, Issue 32, pp. 6829-6840 (2002)

View Full Text Article

Enhanced HTML    Acrobat PDF (586 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



A new correlation filter formulation (that we refer to as the minimax distance transform correlation filter (MDTCF) is presented that minimizes the average squared distance from the filtered desired (or true-) class training images to a filtered reference image while maximizing the mean squared distance of the filtered undesired (or false-) class training images to this filtered reference image. This approach increases the separation between the false-class correlation outputs and the true-class correlation outputs. Classification can be performed using the squared distance of a filtered test image to the chosen filtered reference image. We show that the previously introduced distance classifier correlation filter (DCCF) is similar to a special case of MDTCF. We also examine the differences between the DCCF and the MDTCF, and show that MDTCF can offer increased discrimination performance. Also, MDTCF performance is evaluated on two different face databases.

© 2002 Optical Society of America

OCIS Codes
(150.0150) Machine vision : Machine vision

Original Manuscript: February 11, 2002
Revised Manuscript: July 16, 2002
Published: November 10, 2002

Marios Savvides, B. V. K. Vijaya Kumar, and Pradeep K. Khosla, "Two class minimax distance transform correlation filter," Appl. Opt. 41, 6829-6840 (2002)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. A. Mahalanobis, D. W. Carlson, B. V. K. Vijaya Kumar, “Evaluation of MACH and DCCF correlation filters for SAR ATR using MSTAR public database,” in Algorithms for Synthetic Aperture Radar Imagery V, E. G. Zelnio, ed., Proc. SPIE3370, 460–469 (1998).
  2. B. V. K. Vijaya Kumar, “Tutorial survey of composite filter designs for optical correlators,” Appl. Opt. 31, 4773–4801 (1992). [CrossRef]
  3. B. V. K. Vijaya Kumar, A. Mahalanobis, S. Song, S. R. F. Sims, J. F. Epperson, “Minimum squared error synthetic discriminant functions,” Opt. Eng. 31, 915–922 (1992). [CrossRef]
  4. A. Mahalanobis, B. V. K. Vijaya Kumar, S. R. F. Sims, “Distance classifier correlation filters for distortion tolerance, discrimination, and clutter rejection,” in Photonics for Processors, Neural Networks, and Memories, J. L. Horner, B. Javidi, S. T. Kowel, W. J. Miceli, eds., Proc. SPIE2026, 325–337 (1993).
  5. R. Duda, P. Hart, Pattern Classification and Scene Analysis (Wiley, New York, 1973).
  6. A. Mahalanobis, B. V. K. Vijaya Kumar, “Important differences between distance classifier correlation filters and Fisher linear discriminant functions,” in Automatic Target Recognition VIII, F. A. Sadjadi, ed., Proc. SPIE3371, 263–274 (1998).
  7. http://amp.ece.cmu.edu —Advanced Multimedia Processing Lab at ECE CMU.
  8. A. Mahalanobis, B. V. K. Vijaya Kumar, S. R. F. Sims, J. F. Epperson, “Unconstrained correlation filters,” Appl. Opt. 33, 3751–3759 (1994). [CrossRef] [PubMed]
  9. http://www.uk.research.att.com/facedatabase.html —AT&T Laboratories, Cambridge, United Kingdom.

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited