Abstract

A new correlation-filter design methodology is presented for achieving two objectives: synthetic discriminant function filters that can be implemented on arbitrary devices and that can provide optimal trade-off among various criteria of interest.

© 1994 Optical Society of America

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References

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  1. R. D. Juday, Appl. Opt. 32, 5100 (1993).
    [Crossref] [PubMed]
  2. V. Laude, Ph. Refregier, Appl. Opt. 33, 4465 (1994).
    [Crossref] [PubMed]
  3. B. V. K. V. Kumar, L. Hassebrook, Appl. Opt. 29, 2997 (1990).
    [Crossref] [PubMed]
  4. B. V. K. V. Kumar, Appl. Opt. 31, 4773 (1992).
    [Crossref] [PubMed]
  5. B. V. K. V. Kumar, J. Opt. Soc. Am. A 3, 1579 (1986).
    [Crossref]
  6. A. Mahalanobis, B. V. K. V. Kumar, D. Casasent, Appl. Opt. 26, 3633 (1986).
    [Crossref]
  7. A. Mahalanobis, B. V. K. V. Kumar, S. Song, S. R. F. Sims, J. F. Epperson, Appl. Opt. 33, 3751 (1994).
    [Crossref] [PubMed]
  8. A. Mahalanobis, B. V. K V. Kumar, S. Song, S. R. F. Sims, J. F. Epperson, Opt. Eng. 31, 915 (1992).
    [Crossref]
  9. Ph. Refregier, Opt. Lett. 16, 829 (1991).
    [Crossref] [PubMed]

1994 (2)

1993 (1)

1992 (2)

A. Mahalanobis, B. V. K V. Kumar, S. Song, S. R. F. Sims, J. F. Epperson, Opt. Eng. 31, 915 (1992).
[Crossref]

B. V. K. V. Kumar, Appl. Opt. 31, 4773 (1992).
[Crossref] [PubMed]

1991 (1)

1990 (1)

1986 (2)

Casasent, D.

Epperson, J. F.

A. Mahalanobis, B. V. K. V. Kumar, S. Song, S. R. F. Sims, J. F. Epperson, Appl. Opt. 33, 3751 (1994).
[Crossref] [PubMed]

A. Mahalanobis, B. V. K V. Kumar, S. Song, S. R. F. Sims, J. F. Epperson, Opt. Eng. 31, 915 (1992).
[Crossref]

Hassebrook, L.

Juday, R. D.

Kumar, B. V. K V.

A. Mahalanobis, B. V. K V. Kumar, S. Song, S. R. F. Sims, J. F. Epperson, Opt. Eng. 31, 915 (1992).
[Crossref]

Kumar, B. V. K. V.

Laude, V.

Mahalanobis, A.

Refregier, Ph.

Sims, S. R. F.

A. Mahalanobis, B. V. K. V. Kumar, S. Song, S. R. F. Sims, J. F. Epperson, Appl. Opt. 33, 3751 (1994).
[Crossref] [PubMed]

A. Mahalanobis, B. V. K V. Kumar, S. Song, S. R. F. Sims, J. F. Epperson, Opt. Eng. 31, 915 (1992).
[Crossref]

Song, S.

A. Mahalanobis, B. V. K. V. Kumar, S. Song, S. R. F. Sims, J. F. Epperson, Appl. Opt. 33, 3751 (1994).
[Crossref] [PubMed]

A. Mahalanobis, B. V. K V. Kumar, S. Song, S. R. F. Sims, J. F. Epperson, Opt. Eng. 31, 915 (1992).
[Crossref]

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Equations (16)

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ONV = h + Ph ,
ACE = h + D x h ,
D x = 1 N i = 1 N X i * X i
ASM = h + S x h ,
S x = 1 N i = 1 N ( X i - M x ) * ( X i - M x )
M x = 1 N i = 1 N X i .
ACH = | 1 N i = 1 N h T x i | = | h T m x | ,
E ( h ) = α ( ONV ) + β ( ACE ) + γ ( ASM ) - δ ( ACH ) = α h + Ph + β h + D x h + γ h + S x h - δ h T m x ,
E ( h ) = h + Dh - δ | h T m x | ,
D = α P + β D x + γ S x
h ° = ( δ / 2 ) D - 1 m x * ,
E θ ( h ) = h + Dh - δ Re [ h T m x exp ( - j θ ) ] = h + Dh - δ h T m x cos [ ϕ ( h ) - θ ] ,
E θ ( h ) E ( h ) ,
E θ [ h ° exp ( j θ ) ] = E [ h ° exp ( j θ ) ] = E ( h ° ) ,
E θ ( h ) = E ( h ° ) + [ h - h ° exp ( j θ ) ] + D [ h - h ° exp ( j θ ) ] .
[ h - h ° exp ( j θ ) ] + D [ h - h ° exp ( j θ ) ] = k = 1 d D k , k h k - h k ° exp ( j θ ) 2 ,

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