Abstract

Approximate filters based on a phase-only filter for reliable recognition of objects are proposed. Good light efficiency and discrimination capability close to that of the optimal filter can be obtained. Computer simulation results are presented and discussed.

© 1994 Optical Society of America

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References

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  1. A. B. VanderLugt, IEEE Trans. Inf. Theory IT-10, 139 (1964).
    [CrossRef]
  2. L. P. Yaroslavsky, in Advances in Electronics and Electron Physics, P. Hawkes, ed. (Academic, Orlando, Fla., 1986), Vol. 66, pp. 1–140.
    [CrossRef]
  3. L. P. Yaroslavsky, Appl. Opt. 31, 1677 (1992).
    [CrossRef] [PubMed]
  4. J. Campos, F. Turon, L. P. Yaroslavsky, M. J. Yzuel, Int. J. Opt. Comput. 2, 341 (1991).
  5. J. L. Horner, P. D. Gianino, Appl. Opt. 23, 812 (1984).
    [CrossRef] [PubMed]
  6. B. V. K. Vijaya Kumar, Z. Bahri, Appl. Opt. 28, 250 (1989).
    [CrossRef]
  7. Ph. Réfrégier, B. V. K. Vijaya Kumar, C. Hendrix, J. Opt. Soc. Am. A 9, 2188 (1992).
  8. J. Max, IRE Trans. Inf. Theory IT-4, 7 (1960).
    [CrossRef]

1992 (2)

L. P. Yaroslavsky, Appl. Opt. 31, 1677 (1992).
[CrossRef] [PubMed]

Ph. Réfrégier, B. V. K. Vijaya Kumar, C. Hendrix, J. Opt. Soc. Am. A 9, 2188 (1992).

1991 (1)

J. Campos, F. Turon, L. P. Yaroslavsky, M. J. Yzuel, Int. J. Opt. Comput. 2, 341 (1991).

1989 (1)

1984 (1)

1964 (1)

A. B. VanderLugt, IEEE Trans. Inf. Theory IT-10, 139 (1964).
[CrossRef]

1960 (1)

J. Max, IRE Trans. Inf. Theory IT-4, 7 (1960).
[CrossRef]

Bahri, Z.

Campos, J.

J. Campos, F. Turon, L. P. Yaroslavsky, M. J. Yzuel, Int. J. Opt. Comput. 2, 341 (1991).

Gianino, P. D.

Hendrix, C.

Ph. Réfrégier, B. V. K. Vijaya Kumar, C. Hendrix, J. Opt. Soc. Am. A 9, 2188 (1992).

Horner, J. L.

Max, J.

J. Max, IRE Trans. Inf. Theory IT-4, 7 (1960).
[CrossRef]

Réfrégier, Ph.

Ph. Réfrégier, B. V. K. Vijaya Kumar, C. Hendrix, J. Opt. Soc. Am. A 9, 2188 (1992).

Turon, F.

J. Campos, F. Turon, L. P. Yaroslavsky, M. J. Yzuel, Int. J. Opt. Comput. 2, 341 (1991).

VanderLugt, A. B.

A. B. VanderLugt, IEEE Trans. Inf. Theory IT-10, 139 (1964).
[CrossRef]

Vijaya Kumar, B. V. K.

Ph. Réfrégier, B. V. K. Vijaya Kumar, C. Hendrix, J. Opt. Soc. Am. A 9, 2188 (1992).

B. V. K. Vijaya Kumar, Z. Bahri, Appl. Opt. 28, 250 (1989).
[CrossRef]

Yaroslavsky, L. P.

L. P. Yaroslavsky, Appl. Opt. 31, 1677 (1992).
[CrossRef] [PubMed]

J. Campos, F. Turon, L. P. Yaroslavsky, M. J. Yzuel, Int. J. Opt. Comput. 2, 341 (1991).

L. P. Yaroslavsky, in Advances in Electronics and Electron Physics, P. Hawkes, ed. (Academic, Orlando, Fla., 1986), Vol. 66, pp. 1–140.
[CrossRef]

Yzuel, M. J.

J. Campos, F. Turon, L. P. Yaroslavsky, M. J. Yzuel, Int. J. Opt. Comput. 2, 341 (1991).

Appl. Opt. (3)

IEEE Trans. Inf. Theory (1)

A. B. VanderLugt, IEEE Trans. Inf. Theory IT-10, 139 (1964).
[CrossRef]

Int. J. Opt. Comput. (1)

J. Campos, F. Turon, L. P. Yaroslavsky, M. J. Yzuel, Int. J. Opt. Comput. 2, 341 (1991).

IRE Trans. Inf. Theory (1)

J. Max, IRE Trans. Inf. Theory IT-4, 7 (1960).
[CrossRef]

J. Opt. Soc. Am. A (1)

Ph. Réfrégier, B. V. K. Vijaya Kumar, C. Hendrix, J. Opt. Soc. Am. A 9, 2188 (1992).

Other (1)

L. P. Yaroslavsky, in Advances in Electronics and Electron Physics, P. Hawkes, ed. (Academic, Orlando, Fla., 1986), Vol. 66, pp. 1–140.
[CrossRef]

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Figures (4)

Fig. 1
Fig. 1

Aerial photograph with three butterfly targets that was used as the input scene. Scene: mean, 128; standard deviation, 40; min, 0; max, 255. Target: mean, 132; min, 90; max, 147.

Fig. 2
Fig. 2

Illustration of nonuniform optimal quantization.

Fig. 3
Fig. 3

Histogram of correcting-factor values for the POF calculated for the aerial photograph in Fig. 1.

Fig. 4
Fig. 4

Block diagram showing the operation performed for pattern recognition by the AF.

Tables (1)

Tables Icon

Table 1 Normalized Intensity Correlation Peaks Obtained for the Input Scene in Fig. 1 for the Different Filters

Equations (7)

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H ( f ) OF = X * ( f ) / | B ( f ) | 2 ,
H ( f ) POF = X * ( f ) | X ( f ) | = { exp [ i ϕ ( f ) ] | X ( f ) | 0 0 otherwise ,
H ( f ) OF = X * ( f ) | X ( f ) | | X ( f ) | | B ( f ) | 2 = H ( f ) POF F ( f ) POF ,
R i = L i - 1 L i xp ( x ) d x / L i - 1 L i p ( x ) d x , L i = ( R i + R i + 1 ) / 2 ,
F ˜ ( f ) POF = i = 1 N R i B i ( f ) ,
B i ( f ) = { 1 L i 1 < F ( f ) POF L i 0 otherwise .
H ˜ ( f ) OF = H ( f ) POF i = 1 N R i B i ( f ) = i = 1 N R i H ( f ) POF B i ( f ) ,

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