Abstract

We propose to use optical multichannel correlation in various chromatic systems to obtain a setup for recognition of polychromatic three-dimensional (3-D) objects based on Fourier-transform profilometry. Because red-green-blue color components are not able to split the luminance information of objects in a defined component, when the 3-D objects are brighter than the reference objects the correlation result gives false alarms. We demonstrate that it is possible to use different color spaces that can split luminance from chromatic information to yield adequate recognition of polychromatic 3-D objects. We show experimental results that prove the utility of the proposed method.

© 2004 Optical Society of America

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References

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    [CrossRef]
  4. E. Paquet, P. García-Martínez, J. García, “Tridimensional invariant correlation based on phase-coded and sine-coded range images,” J. Opt. 29, 35–39 (1998).
    [CrossRef]
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    [CrossRef]
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    [CrossRef]
  9. T. Kim, T. Poon, “Extraction of 3-D location of matched 3-D object using power fringe-adjusted filtering and Wigner analysis,” Opt. Eng. 38, 2176–2183 (1999).
    [CrossRef]
  10. B. Javidi, E. Tajahuerce, “Three-dimensional object recognition by use of digital holography,” Opt. Lett. 25, 610–612 (2000).
    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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  27. M. Corbalán, M. S. Millán, M. J. Yzuel, “Color measurement in standard CIELAB coordinates using a 3CCD camera: correction for the influence of the light source,” Opt. Eng. 39, 1470–1476 (2000).
    [CrossRef]

2003

J. J. Esteve-Taboada, J. García, “Detection and orientation evaluation for three-dimensional objects,” Opt. Commun. 217, 123–131 (2003).
[CrossRef]

2002

M. Corbalán, M. S. Millán, M. J. Yzuel, “Color pattern recognition with CIELAB coordinates,” Opt. Eng. 41, 130–138 (2002).
[CrossRef]

J. J. Esteve-Taboada, J. García, C. Ferreira, “Optical recognition of three-dimensional objects with scale invariance using a classical convergent correlator,” Opt. Eng. 41, 1324–1330 (2002).
[CrossRef]

2000

M. Corbalán, M. S. Millán, M. J. Yzuel, “Color measurement in standard CIELAB coordinates using a 3CCD camera: correction for the influence of the light source,” Opt. Eng. 39, 1470–1476 (2000).
[CrossRef]

B. Javidi, E. Tajahuerce, “Three-dimensional object recognition by use of digital holography,” Opt. Lett. 25, 610–612 (2000).
[CrossRef]

1999

1998

J. Rosen, “Three-dimensional electro-optical correlation,” J. Opt. Soc. Am. A 15, 430–436 (1998).
[CrossRef]

J. Rosen, “Three-dimensional joint transform correlator,” Appl. Opt. 37, 7538–7544 (1998).
[CrossRef]

E. Paquet, P. García-Martínez, J. García, “Tridimensional invariant correlation based on phase-coded and sine-coded range images,” J. Opt. 29, 35–39 (1998).
[CrossRef]

1995

E. Paquet, M. Rioux, H. H. Arsenault, “Invariant pattern recognition for range images using the phase Fourier transform and a neural network,” Opt. Eng. 34, 1178–1183 (1995).
[CrossRef]

M. S. Millán, M. Corbalán, J. Romero, M. J. Yzuel, “Optical pattern recognition based on color vision models,” Opt. Lett. 20, 1722–1724 (1995).
[CrossRef] [PubMed]

1989

M. S. Millán, J. Campos, C. Ferreira, M. J. Yzuel, “Matched filter and phase only filter performance in colour image recognition,” Opt. Commun. 73, 277–284 (1989).
[CrossRef]

1988

1987

E. Badiqué, Y. Komiya, N. Ohyama, J. Tsujiuchy, T. Honda, “Colour image correlation,” Opt. Commun. 61, 181–186 (1987).
[CrossRef]

1986

F. T. S. Yu, B. Javidi, “Experiments on real-time polychromatic signal detection by matched spatial filtering,” Opt. Commun. 56, 384–388 (1986).
[CrossRef]

R. M. Boynton, “A system of photometry and colorimetry based on cone excitations,” Color Res. Appl. 11, 244–252 (1986).
[CrossRef]

1984

F. T. S. Yu, “Color image recognition by spectral-spatial matched filtering,” Opt. Eng. 23, 690–694 (1984).
[CrossRef]

1983

1980

1966

1964

A. VanderLugt, “Signal detection by complex spatial filtering,” IEEE Trans. Inf. Theory IT-10, 139–145 (1964).

Arsenault, H. H.

E. Paquet, M. Rioux, H. H. Arsenault, “Invariant pattern recognition for range images using the phase Fourier transform and a neural network,” Opt. Eng. 34, 1178–1183 (1995).
[CrossRef]

Badiqué, E.

Benzschawel, T.

Boynton, R. M.

R. M. Boynton, “A system of photometry and colorimetry based on cone excitations,” Color Res. Appl. 11, 244–252 (1986).
[CrossRef]

Campos, J.

M. S. Millán, J. Campos, C. Ferreira, M. J. Yzuel, “Matched filter and phase only filter performance in colour image recognition,” Opt. Commun. 73, 277–284 (1989).
[CrossRef]

Choi, T. S.

V. Kober, T. S. Choi, “Color optical pattern recognition based on projection preprocessing,” in Algorithms, Devices, and Systems for Optical Information Processing, B. Javidi, D. Psaltis, eds., Proc. SPIE3159, 144–152 (1999).
[CrossRef]

Corbalán, M.

M. Corbalán, M. S. Millán, M. J. Yzuel, “Color pattern recognition with CIELAB coordinates,” Opt. Eng. 41, 130–138 (2002).
[CrossRef]

M. Corbalán, M. S. Millán, M. J. Yzuel, “Color measurement in standard CIELAB coordinates using a 3CCD camera: correction for the influence of the light source,” Opt. Eng. 39, 1470–1476 (2000).
[CrossRef]

M. S. Millán, M. Corbalán, J. Romero, M. J. Yzuel, “Optical pattern recognition based on color vision models,” Opt. Lett. 20, 1722–1724 (1995).
[CrossRef] [PubMed]

Esteve-Taboada, J. J.

J. J. Esteve-Taboada, J. García, “Detection and orientation evaluation for three-dimensional objects,” Opt. Commun. 217, 123–131 (2003).
[CrossRef]

J. J. Esteve-Taboada, J. García, C. Ferreira, “Optical recognition of three-dimensional objects with scale invariance using a classical convergent correlator,” Opt. Eng. 41, 1324–1330 (2002).
[CrossRef]

J. J. Esteve-Taboada, D. Mas, J. García, “Three-dimensional object recognition by Fourier transform profilometry,” Appl. Opt. 38, 4760–4765 (1999).
[CrossRef]

Ferreira, C.

J. J. Esteve-Taboada, J. García, C. Ferreira, “Optical recognition of three-dimensional objects with scale invariance using a classical convergent correlator,” Opt. Eng. 41, 1324–1330 (2002).
[CrossRef]

M. S. Millán, J. Campos, C. Ferreira, M. J. Yzuel, “Matched filter and phase only filter performance in colour image recognition,” Opt. Commun. 73, 277–284 (1989).
[CrossRef]

P. García, C. Ferreira, J. García, “Color optical pattern recognition using nonlinear morphological correlation,” in 18th Congress of the International Commission for Optics, A. J. Glass, J. W. Goodman, M. Chang, A. H. Guenther, T. Asakura, eds., Proc. SPIE3749, 204–206 (1999).
[CrossRef]

García, J.

J. J. Esteve-Taboada, J. García, “Detection and orientation evaluation for three-dimensional objects,” Opt. Commun. 217, 123–131 (2003).
[CrossRef]

J. J. Esteve-Taboada, J. García, C. Ferreira, “Optical recognition of three-dimensional objects with scale invariance using a classical convergent correlator,” Opt. Eng. 41, 1324–1330 (2002).
[CrossRef]

J. J. Esteve-Taboada, D. Mas, J. García, “Three-dimensional object recognition by Fourier transform profilometry,” Appl. Opt. 38, 4760–4765 (1999).
[CrossRef]

E. Paquet, P. García-Martínez, J. García, “Tridimensional invariant correlation based on phase-coded and sine-coded range images,” J. Opt. 29, 35–39 (1998).
[CrossRef]

P. García, C. Ferreira, J. García, “Color optical pattern recognition using nonlinear morphological correlation,” in 18th Congress of the International Commission for Optics, A. J. Glass, J. W. Goodman, M. Chang, A. H. Guenther, T. Asakura, eds., Proc. SPIE3749, 204–206 (1999).
[CrossRef]

García, P.

P. García, C. Ferreira, J. García, “Color optical pattern recognition using nonlinear morphological correlation,” in 18th Congress of the International Commission for Optics, A. J. Glass, J. W. Goodman, M. Chang, A. H. Guenther, T. Asakura, eds., Proc. SPIE3749, 204–206 (1999).
[CrossRef]

García-Martínez, P.

E. Paquet, P. García-Martínez, J. García, “Tridimensional invariant correlation based on phase-coded and sine-coded range images,” J. Opt. 29, 35–39 (1998).
[CrossRef]

Goodman, J. W.

Guth, S. L.

Honda, T.

Javidi, B.

B. Javidi, E. Tajahuerce, “Three-dimensional object recognition by use of digital holography,” Opt. Lett. 25, 610–612 (2000).
[CrossRef]

F. T. S. Yu, B. Javidi, “Experiments on real-time polychromatic signal detection by matched spatial filtering,” Opt. Commun. 56, 384–388 (1986).
[CrossRef]

Kim, T.

T. Poon, T. Kim, “Optical image recognition of three-dimensional objects,” Appl. Opt. 38, 370–381 (1999).
[CrossRef]

T. Kim, T. Poon, “Extraction of 3-D location of matched 3-D object using power fringe-adjusted filtering and Wigner analysis,” Opt. Eng. 38, 2176–2183 (1999).
[CrossRef]

Kober, V.

V. Kober, T. S. Choi, “Color optical pattern recognition based on projection preprocessing,” in Algorithms, Devices, and Systems for Optical Information Processing, B. Javidi, D. Psaltis, eds., Proc. SPIE3159, 144–152 (1999).
[CrossRef]

Komiya, Y.

Mas, D.

Massof, R. W.

Millán, M. S.

M. Corbalán, M. S. Millán, M. J. Yzuel, “Color pattern recognition with CIELAB coordinates,” Opt. Eng. 41, 130–138 (2002).
[CrossRef]

M. Corbalán, M. S. Millán, M. J. Yzuel, “Color measurement in standard CIELAB coordinates using a 3CCD camera: correction for the influence of the light source,” Opt. Eng. 39, 1470–1476 (2000).
[CrossRef]

M. S. Millán, M. Corbalán, J. Romero, M. J. Yzuel, “Optical pattern recognition based on color vision models,” Opt. Lett. 20, 1722–1724 (1995).
[CrossRef] [PubMed]

M. S. Millán, J. Campos, C. Ferreira, M. J. Yzuel, “Matched filter and phase only filter performance in colour image recognition,” Opt. Commun. 73, 277–284 (1989).
[CrossRef]

Mutoh, K.

Ohyama, N.

Paquet, E.

E. Paquet, P. García-Martínez, J. García, “Tridimensional invariant correlation based on phase-coded and sine-coded range images,” J. Opt. 29, 35–39 (1998).
[CrossRef]

E. Paquet, M. Rioux, H. H. Arsenault, “Invariant pattern recognition for range images using the phase Fourier transform and a neural network,” Opt. Eng. 34, 1178–1183 (1995).
[CrossRef]

Poon, T.

T. Kim, T. Poon, “Extraction of 3-D location of matched 3-D object using power fringe-adjusted filtering and Wigner analysis,” Opt. Eng. 38, 2176–2183 (1999).
[CrossRef]

T. Poon, T. Kim, “Optical image recognition of three-dimensional objects,” Appl. Opt. 38, 370–381 (1999).
[CrossRef]

Rioux, M.

E. Paquet, M. Rioux, H. H. Arsenault, “Invariant pattern recognition for range images using the phase Fourier transform and a neural network,” Opt. Eng. 34, 1178–1183 (1995).
[CrossRef]

Romero, J.

Rosen, J.

Stiles, W. S.

G. Wyszecki, W. S. Stiles, Color Science: Concepts and Methods, Quantitative Data and Formulae (Wiley, New York, 1982).

Tajahuerce, E.

Takeda, M.

Tsujiuchy, J.

VanderLugt, A.

A. VanderLugt, “Signal detection by complex spatial filtering,” IEEE Trans. Inf. Theory IT-10, 139–145 (1964).

Weaver, C. S.

Wyszecki, G.

G. Wyszecki, W. S. Stiles, Color Science: Concepts and Methods, Quantitative Data and Formulae (Wiley, New York, 1982).

Yu, F. T. S.

F. T. S. Yu, B. Javidi, “Experiments on real-time polychromatic signal detection by matched spatial filtering,” Opt. Commun. 56, 384–388 (1986).
[CrossRef]

F. T. S. Yu, “Color image recognition by spectral-spatial matched filtering,” Opt. Eng. 23, 690–694 (1984).
[CrossRef]

Yzuel, M. J.

M. Corbalán, M. S. Millán, M. J. Yzuel, “Color pattern recognition with CIELAB coordinates,” Opt. Eng. 41, 130–138 (2002).
[CrossRef]

M. Corbalán, M. S. Millán, M. J. Yzuel, “Color measurement in standard CIELAB coordinates using a 3CCD camera: correction for the influence of the light source,” Opt. Eng. 39, 1470–1476 (2000).
[CrossRef]

M. S. Millán, M. Corbalán, J. Romero, M. J. Yzuel, “Optical pattern recognition based on color vision models,” Opt. Lett. 20, 1722–1724 (1995).
[CrossRef] [PubMed]

M. S. Millán, J. Campos, C. Ferreira, M. J. Yzuel, “Matched filter and phase only filter performance in colour image recognition,” Opt. Commun. 73, 277–284 (1989).
[CrossRef]

Appl. Opt.

Color Res. Appl.

R. M. Boynton, “A system of photometry and colorimetry based on cone excitations,” Color Res. Appl. 11, 244–252 (1986).
[CrossRef]

IEEE Trans. Inf. Theory

A. VanderLugt, “Signal detection by complex spatial filtering,” IEEE Trans. Inf. Theory IT-10, 139–145 (1964).

J. Opt.

E. Paquet, P. García-Martínez, J. García, “Tridimensional invariant correlation based on phase-coded and sine-coded range images,” J. Opt. 29, 35–39 (1998).
[CrossRef]

J. Opt. Soc. Am.

J. Opt. Soc. Am. A

Opt. Commun.

E. Badiqué, Y. Komiya, N. Ohyama, J. Tsujiuchy, T. Honda, “Colour image correlation,” Opt. Commun. 61, 181–186 (1987).
[CrossRef]

F. T. S. Yu, B. Javidi, “Experiments on real-time polychromatic signal detection by matched spatial filtering,” Opt. Commun. 56, 384–388 (1986).
[CrossRef]

M. S. Millán, J. Campos, C. Ferreira, M. J. Yzuel, “Matched filter and phase only filter performance in colour image recognition,” Opt. Commun. 73, 277–284 (1989).
[CrossRef]

J. J. Esteve-Taboada, J. García, “Detection and orientation evaluation for three-dimensional objects,” Opt. Commun. 217, 123–131 (2003).
[CrossRef]

Opt. Eng.

E. Paquet, M. Rioux, H. H. Arsenault, “Invariant pattern recognition for range images using the phase Fourier transform and a neural network,” Opt. Eng. 34, 1178–1183 (1995).
[CrossRef]

T. Kim, T. Poon, “Extraction of 3-D location of matched 3-D object using power fringe-adjusted filtering and Wigner analysis,” Opt. Eng. 38, 2176–2183 (1999).
[CrossRef]

M. Corbalán, M. S. Millán, M. J. Yzuel, “Color measurement in standard CIELAB coordinates using a 3CCD camera: correction for the influence of the light source,” Opt. Eng. 39, 1470–1476 (2000).
[CrossRef]

M. Corbalán, M. S. Millán, M. J. Yzuel, “Color pattern recognition with CIELAB coordinates,” Opt. Eng. 41, 130–138 (2002).
[CrossRef]

F. T. S. Yu, “Color image recognition by spectral-spatial matched filtering,” Opt. Eng. 23, 690–694 (1984).
[CrossRef]

J. J. Esteve-Taboada, J. García, C. Ferreira, “Optical recognition of three-dimensional objects with scale invariance using a classical convergent correlator,” Opt. Eng. 41, 1324–1330 (2002).
[CrossRef]

Opt. Lett.

Other

V. Kober, T. S. Choi, “Color optical pattern recognition based on projection preprocessing,” in Algorithms, Devices, and Systems for Optical Information Processing, B. Javidi, D. Psaltis, eds., Proc. SPIE3159, 144–152 (1999).
[CrossRef]

P. García, C. Ferreira, J. García, “Color optical pattern recognition using nonlinear morphological correlation,” in 18th Congress of the International Commission for Optics, A. J. Glass, J. W. Goodman, M. Chang, A. H. Guenther, T. Asakura, eds., Proc. SPIE3749, 204–206 (1999).
[CrossRef]

G. Wyszecki, W. S. Stiles, Color Science: Concepts and Methods, Quantitative Data and Formulae (Wiley, New York, 1982).

J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, Singapore, 1996).

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Figures (9)

Fig. 1
Fig. 1

(a) Gray-scale version of the first input scene. (b) Description of the colors of the 3-D objects (here and in the figures that follow, the letters W, R, G, and B refer to the colors white, red, green, and blue).

Fig. 2
Fig. 2

(a) Gray-scale version of the second input scene. (b) Description of the colors of the 3-D objects.

Fig. 3
Fig. 3

(a) Gray-scale version of the third input scene. (b) Description of the colors of the 3-D objects.

Fig. 4
Fig. 4

(a) Gray-scale version of the fourth input scene. (b) Description of the colors of the 3-D objects.

Fig. 5
Fig. 5

Whole experimental setup for recognition of 3-D objects by use of a modified JTC: SLM, spatial light modulator; L1, lens.

Fig. 6
Fig. 6

(a), (b), (c) Experimental correlation signals obtained in channels R, G, and B, respectively, when the input scene in Fig. 1 is considered. (d) Result of multiplication of the RGB correlation signals.

Fig. 7
Fig. 7

(a), (b), (c) Experimental correlation signals obtained in channels R, G, and B, respectively, when the input scene in Fig. 2 is considered. (d) Result of multiplication of the RGB correlation signals.

Fig. 8
Fig. 8

(a), (b), (c) Experimental correlation signals obtained channels A, T, and D, respectively, when the input scene in Fig. 2 is considered. (d) Result of multiplication of the ATD correlation signals.

Fig. 9
Fig. 9

(a), (b), (c) Experimental correlation signals obtained in CIELAB channels L, C*, and h*, when the input scene in Fig. 2 is considered. (d) Result of multiplication of the L, C*, and h* correlation signals.

Tables (3)

Tables Icon

Table 1 Decomposition of the Colors of the 3-D Objects in the RGB Chromatic Componentsa

Tables Icon

Table 2 Correlation Peak Values Obtained in the ATD Chromatic Channels for All the Input Scenesa and Their Product for All Channelsb

Tables Icon

Table 3 Correlation Peak Values Obtained in the CIELAB Chromatic Channel for All the Input Scenesa and Their Product for All Channelsb

Equations (9)

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

gx, y=rx, yn=- An expi2πnf0x+nϕx, y,
ϕx, y=-2πf0dhx, yL-hx, y,
ATD=0.59670.365400.9553-1.28360-0.024800.0483RGB.
L*=116YY01/3-16,
a*=500XX01/3-YY01/3,
b*=200YY01/3-ZZ01/3,
C*=a*2+b*21/2,
h*=arctanb*/a*.
XYZ=1.210.260.230.710.98-0.02-0.010.031.70RGB.

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