Abstract

A novel syntactic approach is introduced to treat particular problems in pattern recognition. The procedure is implemented by the use of optical correlation methods for identifying the various primitives that appear in the input pattern, and their importance is determined by fuzzy relational scoring. Robust pattern recognition with tolerance to normal variations is demonstrated, indicating an efficient new approach for optical pattern recognition.

© 1996 Optical Society of America

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References

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  1. H. J. CaulfieldAppl. Opt. 29, 2600 (1990).
    [CrossRef] [PubMed]
  2. H. J. Caulfield, R. HaimesAppl. Opt. 19, 181 (1980).
    [CrossRef] [PubMed]
  3. K. FukunagaIntroduction to Statistical Pattern Recognition (Academic, New York, 1990), pp. 1–10.
  4. R. C. Gonzalez, M. G. ThomasonSyntactic Pattern Recognition: An Introduction (Addison-Wesley, Reading, Mass., 1978), pp. 14–18.

1990

1980

Caulfield, H. J.

Fukunaga, K.

K. FukunagaIntroduction to Statistical Pattern Recognition (Academic, New York, 1990), pp. 1–10.

Gonzalez, R. C.

R. C. Gonzalez, M. G. ThomasonSyntactic Pattern Recognition: An Introduction (Addison-Wesley, Reading, Mass., 1978), pp. 14–18.

Haimes, R.

Thomason, M. G.

R. C. Gonzalez, M. G. ThomasonSyntactic Pattern Recognition: An Introduction (Addison-Wesley, Reading, Mass., 1978), pp. 14–18.

Appl. Opt.

Other

K. FukunagaIntroduction to Statistical Pattern Recognition (Academic, New York, 1990), pp. 1–10.

R. C. Gonzalez, M. G. ThomasonSyntactic Pattern Recognition: An Introduction (Addison-Wesley, Reading, Mass., 1978), pp. 14–18.

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Figures (3)

Fig. 1
Fig. 1

Character A and pattern primitives a1, a2, and a3.

Fig. 2
Fig. 2

Fans drawn from correlation point (xi, yi) upon correlation surface ai to encompass correlation point (xj, yj) upon correlation surface aj. The circles represent the primitive correlation surfaces.

Fig. 3
Fig. 3

Correlations obtained for a set of computer-generated characters A, A, M, and U, with pattern primitives a1, a2, and a3, which were derived from the top left-hand character A. The dark spots are the correlation peaks.

Tables (2)

Tables Icon

Table 1 Fan Angles for Fans Drawn from Each Correlation Point for Determining Fuzzy Membership Values

Tables Icon

Table 2 Normalized Scores Obtained for Some Test Characters

Equations (5)

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μ i j = f ( θ ) = f ( x j , y j | x i , y i ) .
N 1 = i j μ i j S j , i j ,
N 2 = i j μ i j S j , i j ,
N 3 = j i μ i j S j , i j ,
N 4 = i j μ i j S i S j , i j .

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