Abstract

A modified circular harmonic filter may be used for the rotation-invariant discrimination of a target from another object which contains the same pattern as the target. The method is illustrated by the experimental rotation-invariant detection of the letter F in the presence of the letter E.

© 1983 Optical Society of America

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References

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  1. E. G. Paek, S. S. Lee, Can. J. Phys. 57, 1335 (1979).
    [CrossRef]
  2. Y.-N. Hsu, H. H. Arsenault, G. April, “Rotation Invariant Digital Pattern Recognition Using the Circular Harmonic Expansion,” Appl. Opt. (in press).
  3. Y.-N. Hsu, H. H. Arsenault, “Optical Pattern Recognition Using the Circular Harmonic Expansion,” Appl. Opt. (in press).

1979 (1)

E. G. Paek, S. S. Lee, Can. J. Phys. 57, 1335 (1979).
[CrossRef]

April, G.

Y.-N. Hsu, H. H. Arsenault, G. April, “Rotation Invariant Digital Pattern Recognition Using the Circular Harmonic Expansion,” Appl. Opt. (in press).

Arsenault, H. H.

Y.-N. Hsu, H. H. Arsenault, G. April, “Rotation Invariant Digital Pattern Recognition Using the Circular Harmonic Expansion,” Appl. Opt. (in press).

Y.-N. Hsu, H. H. Arsenault, “Optical Pattern Recognition Using the Circular Harmonic Expansion,” Appl. Opt. (in press).

Hsu, Y.-N.

Y.-N. Hsu, H. H. Arsenault, “Optical Pattern Recognition Using the Circular Harmonic Expansion,” Appl. Opt. (in press).

Y.-N. Hsu, H. H. Arsenault, G. April, “Rotation Invariant Digital Pattern Recognition Using the Circular Harmonic Expansion,” Appl. Opt. (in press).

Lee, S. S.

E. G. Paek, S. S. Lee, Can. J. Phys. 57, 1335 (1979).
[CrossRef]

Paek, E. G.

E. G. Paek, S. S. Lee, Can. J. Phys. 57, 1335 (1979).
[CrossRef]

Can. J. Phys. (1)

E. G. Paek, S. S. Lee, Can. J. Phys. 57, 1335 (1979).
[CrossRef]

Other (2)

Y.-N. Hsu, H. H. Arsenault, G. April, “Rotation Invariant Digital Pattern Recognition Using the Circular Harmonic Expansion,” Appl. Opt. (in press).

Y.-N. Hsu, H. H. Arsenault, “Optical Pattern Recognition Using the Circular Harmonic Expansion,” Appl. Opt. (in press).

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Figures (5)

Fig. 1
Fig. 1

Pseudoobject and its circular harmonic component: (a) pseudoobject, proper center, ×; (b) amplitude of the circular harmonic component (M = 7); (c) real part of the circular harmonic component; (d) imaginary part of the circular harmonic component.

Fig. 2
Fig. 2

Matched circular harmonic filter.

Fig. 3
Fig. 3

Input image.

Fig. 4
Fig. 4

Output intensity.

Fig. 5
Fig. 5

Recognition result. Thresholded version of Fig. 4.

Tables (3)

Tables Icon

Table I Proper Centers of the Pattern F

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Table II Discriminations Between E and F

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Table III Discriminations Between F and Other Characters

Metrics