Abstract

We present an optical method for nondirectional edge extraction/enhancement in color images. The method is based on the capability of twisted-nematic LCDs to traduce the image information in changes of the state of polarization of light, which allows us to generate simultaneously two replicas of the digital image displayed on the LCD: a true-color (“positive”) image and a complementary-color (“negative”) one. In our setup the imaging system consists of a lens plus a pupil mask formed with concentric apertures and orthogonal polarizers. This layout allows us to simultaneously image a well-focused positive replica (due to the circular aperture) superimposed to a slightly defocused negative one (due to the annular aperture). It is not difficult to demonstrate that this generates a nondirectional (Laplacian) edge enhancement. Unlike Fourier, our proposal works with incoherent illumination and does not require precise alignment, and thus, it could be a useful tool for edge extraction/enhancement in large images in real-time applications. Validation experiments are presented.

© 2011 Optical Society of America

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2011 (2)

2010 (3)

2007 (1)

J. Mazzaferri and S. Ledesma, Opt. Commun. 272, 367 (2007).
[CrossRef]

2004 (1)

T. E. Gureyev, A. W. Stevenson, Ya. I. Nesterets, and S. W. Wilkins, Opt. Commun. 240, 81 (2004).
[CrossRef]

2001 (1)

L. Ding and A. Goshtasby, Pattern Recogn. 34, 721 (2001).
[CrossRef]

1999 (1)

S.-Y. Zhu, K. N. Plataniotis, and A. N. Venetsanopoulos, Opt. Eng. 38, 612 (1999).
[CrossRef]

1986 (1)

J. Canny, IEEE Trans. Pattern Anal. Machine Intell. PAMI-8, 679 (1986).
[CrossRef]

1980 (1)

D. Marr and E. Hildreth, Proc. R. Soc. B 207, 187 (1980).
[CrossRef]

1960 (1)

Alonso, J. R.

Ayubi, G. A.

Canny, J.

J. Canny, IEEE Trans. Pattern Anal. Machine Intell. PAMI-8, 679 (1986).
[CrossRef]

Di Martino, J. M.

Ding, L.

L. Ding and A. Goshtasby, Pattern Recogn. 34, 721 (2001).
[CrossRef]

Fernández, A.

Ferrari, J. A.

Flores, J. L.

Garcia-Torales, G.

J. L. Flores, J. A. Ferrari, and G. Garcia-Torales, Opt. Commun. 284, 5630 (2011).
[CrossRef]

J. A. Ferrari, J. L. Flores, and G. Garcia-Torales, Opt. Commun. 283, 2803 (2010).
[CrossRef]

Goshtasby, A.

L. Ding and A. Goshtasby, Pattern Recogn. 34, 721 (2001).
[CrossRef]

Gureyev, T. E.

T. E. Gureyev, A. W. Stevenson, Ya. I. Nesterets, and S. W. Wilkins, Opt. Commun. 240, 81 (2004).
[CrossRef]

Hildreth, E.

D. Marr and E. Hildreth, Proc. R. Soc. B 207, 187 (1980).
[CrossRef]

Ledesma, S.

J. Mazzaferri and S. Ledesma, Opt. Commun. 272, 367 (2007).
[CrossRef]

Li, D.

J. Zeng and D. Li, in 2010 International Symposium on Intelligence Information Processing and Trusted Computing (IPTC) (IEEE, 2010), p. 520.
[CrossRef]

Marr, D.

D. Marr and E. Hildreth, Proc. R. Soc. B 207, 187 (1980).
[CrossRef]

Mazzaferri, J.

J. Mazzaferri and S. Ledesma, Opt. Commun. 272, 367 (2007).
[CrossRef]

Nesterets, Ya. I.

T. E. Gureyev, A. W. Stevenson, Ya. I. Nesterets, and S. W. Wilkins, Opt. Commun. 240, 81 (2004).
[CrossRef]

Plataniotis, K. N.

S.-Y. Zhu, K. N. Plataniotis, and A. N. Venetsanopoulos, Opt. Eng. 38, 612 (1999).
[CrossRef]

Stevenson, A. W.

T. E. Gureyev, A. W. Stevenson, Ya. I. Nesterets, and S. W. Wilkins, Opt. Commun. 240, 81 (2004).
[CrossRef]

Venetsanopoulos, A. N.

S.-Y. Zhu, K. N. Plataniotis, and A. N. Venetsanopoulos, Opt. Eng. 38, 612 (1999).
[CrossRef]

Welford, W. T.

Wilkins, S. W.

T. E. Gureyev, A. W. Stevenson, Ya. I. Nesterets, and S. W. Wilkins, Opt. Commun. 240, 81 (2004).
[CrossRef]

Zeng, J.

J. Zeng and D. Li, in 2010 International Symposium on Intelligence Information Processing and Trusted Computing (IPTC) (IEEE, 2010), p. 520.
[CrossRef]

Zhu, S.-Y.

S.-Y. Zhu, K. N. Plataniotis, and A. N. Venetsanopoulos, Opt. Eng. 38, 612 (1999).
[CrossRef]

Appl. Opt. (2)

IEEE Trans. Pattern Anal. Machine Intell. (1)

J. Canny, IEEE Trans. Pattern Anal. Machine Intell. PAMI-8, 679 (1986).
[CrossRef]

J. Opt. Soc. Am. (1)

Opt. Commun. (4)

J. Mazzaferri and S. Ledesma, Opt. Commun. 272, 367 (2007).
[CrossRef]

J. A. Ferrari, J. L. Flores, and G. Garcia-Torales, Opt. Commun. 283, 2803 (2010).
[CrossRef]

J. L. Flores, J. A. Ferrari, and G. Garcia-Torales, Opt. Commun. 284, 5630 (2011).
[CrossRef]

T. E. Gureyev, A. W. Stevenson, Ya. I. Nesterets, and S. W. Wilkins, Opt. Commun. 240, 81 (2004).
[CrossRef]

Opt. Eng. (1)

S.-Y. Zhu, K. N. Plataniotis, and A. N. Venetsanopoulos, Opt. Eng. 38, 612 (1999).
[CrossRef]

Opt. Express (1)

Pattern Recogn. (1)

L. Ding and A. Goshtasby, Pattern Recogn. 34, 721 (2001).
[CrossRef]

Proc. R. Soc. B (1)

D. Marr and E. Hildreth, Proc. R. Soc. B 207, 187 (1980).
[CrossRef]

Other (3)

http://arttattler.com/designcoldwarmodern.html.

http://www2.ambientdesign.com/gallery/showimage.php?i=708.

J. Zeng and D. Li, in 2010 International Symposium on Intelligence Information Processing and Trusted Computing (IPTC) (IEEE, 2010), p. 520.
[CrossRef]

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Figures (3)

Fig. 1
Fig. 1

Proposed setup.

Fig. 2
Fig. 2

Experimental results using Picasso’s picture Dove of Peace as test image.

Fig. 3
Fig. 3

Experimental results using an image created by Byron Callas as test image.

Equations (4)

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I ± ( x , y ) = + + P ± ( x , y ) I ± ( x + x , y + y ) d x d y ,
I ± ( x , y ) = I ± ( x , y ) + a 20 ± 2 I ± ( x , y ) + higher derivatives ,
I out ( x , y ) = a I + ( x , y ) + b I ( x , y ) b I 0 + ( a b ) I + ( x , y ) ( b a 20 a a 20 + ) 2 I + ( x , y ) ,
I out ( x , y ) b I 0 b ( a 20 a 20 + ) 2 I + ( x , y ) .

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