Abstract

Edge extraction is an essential part of image processing. In digital image processing there are several optical methods for properly obtaining image edges. We propose a method of image edge extraction and enhancement by using a lens-based optical setup, the image, and its inverted form. The inverted and the noninverted images help here to obtain the image edges.

© 1998 Optical Society of America

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References

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  1. See the special issue on Optical Computing: Part 1. Digital optics, Appl. Opt. 25, 1541–1607 (1986).
  2. J. Tainda, Y. Ichioka, “Optical logic array processor using shadowgrams,” J. Opt. Soc. Am. 73, 800–809 (1983).
    [CrossRef]
  3. S. Mukhopadhyay, “Binary optical data subtraction by using a ternary dibit representation technique in optical arithmetic problems,” Appl. Opt. 31, 4622–4623 (1992).
    [CrossRef] [PubMed]
  4. S. Mukhopadhyay, “Optical implementation of a knowledge-based expression in data form,” Opt. Eng. 31, 1284–1286 (1992).
    [CrossRef]
  5. G. Le, L. Liu, “Optical one-rule symbolic substitution for pattern processing,” Opt. Commun. 101, 170–173 (1993).
    [CrossRef]
  6. J. N. Roy, S. Mukhopadhyay, “Use of minimized light mode patterns in shadow-casting system for optical parallel logic operations in the enhanced edge of image,” Ind. J. Eng. Mat. Sci. 1, 60–62 (1994).

1994

J. N. Roy, S. Mukhopadhyay, “Use of minimized light mode patterns in shadow-casting system for optical parallel logic operations in the enhanced edge of image,” Ind. J. Eng. Mat. Sci. 1, 60–62 (1994).

1993

G. Le, L. Liu, “Optical one-rule symbolic substitution for pattern processing,” Opt. Commun. 101, 170–173 (1993).
[CrossRef]

1992

1986

1983

Ichioka, Y.

Le, G.

G. Le, L. Liu, “Optical one-rule symbolic substitution for pattern processing,” Opt. Commun. 101, 170–173 (1993).
[CrossRef]

Liu, L.

G. Le, L. Liu, “Optical one-rule symbolic substitution for pattern processing,” Opt. Commun. 101, 170–173 (1993).
[CrossRef]

Mukhopadhyay, S.

J. N. Roy, S. Mukhopadhyay, “Use of minimized light mode patterns in shadow-casting system for optical parallel logic operations in the enhanced edge of image,” Ind. J. Eng. Mat. Sci. 1, 60–62 (1994).

S. Mukhopadhyay, “Optical implementation of a knowledge-based expression in data form,” Opt. Eng. 31, 1284–1286 (1992).
[CrossRef]

S. Mukhopadhyay, “Binary optical data subtraction by using a ternary dibit representation technique in optical arithmetic problems,” Appl. Opt. 31, 4622–4623 (1992).
[CrossRef] [PubMed]

Roy, J. N.

J. N. Roy, S. Mukhopadhyay, “Use of minimized light mode patterns in shadow-casting system for optical parallel logic operations in the enhanced edge of image,” Ind. J. Eng. Mat. Sci. 1, 60–62 (1994).

Tainda, J.

Appl. Opt.

Ind. J. Eng. Mat. Sci.

J. N. Roy, S. Mukhopadhyay, “Use of minimized light mode patterns in shadow-casting system for optical parallel logic operations in the enhanced edge of image,” Ind. J. Eng. Mat. Sci. 1, 60–62 (1994).

J. Opt. Soc. Am.

Opt. Commun.

G. Le, L. Liu, “Optical one-rule symbolic substitution for pattern processing,” Opt. Commun. 101, 170–173 (1993).
[CrossRef]

Opt. Eng.

S. Mukhopadhyay, “Optical implementation of a knowledge-based expression in data form,” Opt. Eng. 31, 1284–1286 (1992).
[CrossRef]

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Figures (5)

Fig. 1
Fig. 1

Images whose edges are to be extracted.

Fig. 2
Fig. 2

Inverted forms of the images shown in Fig. 1.

Fig. 3
Fig. 3

Schematic of the optical setup for obtaining the image edges.

Fig. 4
Fig. 4

Photographs of the (a) triangular, (b) circular, and (c) square images.

Fig. 5
Fig. 5

Photographs of the edges of the (a) triangular, (b) circular, and (c) square images.

Equations (5)

Equations on this page are rendered with MathJax. Learn more.

m 1 = L 4 L 1 = d 3 d 1 ,
m 2 = L 3 L 2 = L 3 L 1 = d 3 d 2 ,
L 4 = d 3 d 1   L 1 ,
L 3 = d 3 d 2   L 1 .
w = L 4 - L 3 = d 3 L 1 d 1 - d 3 L 1 d 2 = d 3 L 1 1 d 1 - 1 d 2 = m 1 - m 2 L 1 .

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