Abstract

We propose a method of quantitative color characteristic design for color scanners. We used colorimetric simulation with an optical model and a color conversion circuit to match the scanner color characteristic to an color standard. A compensation matrix is defined using the least-squares method to minimize the objective error for many colors. To determine the matrix, a color space must be selected. We compared the results of conversion using matrices obtained in the CIELAB color space and in the RGB color space. The comparison shows that both conversions are nearly the same. Using computer simulation, we designed a color scanner with excellent conversion performance. The average color difference for 440 colors was ~1.3.

© 1990 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. F. Nagano, S. Misaka, H. Mori, “Desktop Color Document Scanner,” in Proceedings, SID International Symposium, Orlando (Oct. 1985), pp. 40–41.
  2. R. Takeuchi, M. Tsumura, M. Tadauchi, H. Shio, “Color Image Scanner with an RGB Linear Image Sensor,” J. Imaging Technol. 14, 68–72 (1988).
  3. M. Katoh, T. Hamaguchi, T. Satoh, O. Yashima, H. Ishikura, “A Contact Type Color Image Sensor and its Color Reproduction Characterictics,” in Proceedings, IGC, 2 Electronic Imaging ’89 West, Pasadena (Mar. 1989), pp. 556–561.
  4. S. Suzuki, T. Tsuda, M. Mori, “A Filter-Alternating Color Scanner,” in Proceedings, IGC, 2 Electronic Imaging ’88 East, Boston (Oct. 1988), pp. 1018–1023.
  5. R. H. Wallis, “Appendix B. Multidimensional Mappings, and Least-Squares Curve Fitting of Surfaces,” Film Recording of Digital Color Image, Los Angeles, USCIPI Report 570 (1975), pp. 174–178.
  6. D. W. Marquardt, “An Algorithm for Least-Squares Estimation of Nonlinear Parameters,” SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 11, 431–441 (1963).
    [CrossRef]

1988 (1)

R. Takeuchi, M. Tsumura, M. Tadauchi, H. Shio, “Color Image Scanner with an RGB Linear Image Sensor,” J. Imaging Technol. 14, 68–72 (1988).

1963 (1)

D. W. Marquardt, “An Algorithm for Least-Squares Estimation of Nonlinear Parameters,” SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 11, 431–441 (1963).
[CrossRef]

Hamaguchi, T.

M. Katoh, T. Hamaguchi, T. Satoh, O. Yashima, H. Ishikura, “A Contact Type Color Image Sensor and its Color Reproduction Characterictics,” in Proceedings, IGC, 2 Electronic Imaging ’89 West, Pasadena (Mar. 1989), pp. 556–561.

Ishikura, H.

M. Katoh, T. Hamaguchi, T. Satoh, O. Yashima, H. Ishikura, “A Contact Type Color Image Sensor and its Color Reproduction Characterictics,” in Proceedings, IGC, 2 Electronic Imaging ’89 West, Pasadena (Mar. 1989), pp. 556–561.

Katoh, M.

M. Katoh, T. Hamaguchi, T. Satoh, O. Yashima, H. Ishikura, “A Contact Type Color Image Sensor and its Color Reproduction Characterictics,” in Proceedings, IGC, 2 Electronic Imaging ’89 West, Pasadena (Mar. 1989), pp. 556–561.

Marquardt, D. W.

D. W. Marquardt, “An Algorithm for Least-Squares Estimation of Nonlinear Parameters,” SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 11, 431–441 (1963).
[CrossRef]

Misaka, S.

F. Nagano, S. Misaka, H. Mori, “Desktop Color Document Scanner,” in Proceedings, SID International Symposium, Orlando (Oct. 1985), pp. 40–41.

Mori, H.

F. Nagano, S. Misaka, H. Mori, “Desktop Color Document Scanner,” in Proceedings, SID International Symposium, Orlando (Oct. 1985), pp. 40–41.

Mori, M.

S. Suzuki, T. Tsuda, M. Mori, “A Filter-Alternating Color Scanner,” in Proceedings, IGC, 2 Electronic Imaging ’88 East, Boston (Oct. 1988), pp. 1018–1023.

Nagano, F.

F. Nagano, S. Misaka, H. Mori, “Desktop Color Document Scanner,” in Proceedings, SID International Symposium, Orlando (Oct. 1985), pp. 40–41.

Satoh, T.

M. Katoh, T. Hamaguchi, T. Satoh, O. Yashima, H. Ishikura, “A Contact Type Color Image Sensor and its Color Reproduction Characterictics,” in Proceedings, IGC, 2 Electronic Imaging ’89 West, Pasadena (Mar. 1989), pp. 556–561.

Shio, H.

R. Takeuchi, M. Tsumura, M. Tadauchi, H. Shio, “Color Image Scanner with an RGB Linear Image Sensor,” J. Imaging Technol. 14, 68–72 (1988).

Suzuki, S.

S. Suzuki, T. Tsuda, M. Mori, “A Filter-Alternating Color Scanner,” in Proceedings, IGC, 2 Electronic Imaging ’88 East, Boston (Oct. 1988), pp. 1018–1023.

Tadauchi, M.

R. Takeuchi, M. Tsumura, M. Tadauchi, H. Shio, “Color Image Scanner with an RGB Linear Image Sensor,” J. Imaging Technol. 14, 68–72 (1988).

Takeuchi, R.

R. Takeuchi, M. Tsumura, M. Tadauchi, H. Shio, “Color Image Scanner with an RGB Linear Image Sensor,” J. Imaging Technol. 14, 68–72 (1988).

Tsuda, T.

S. Suzuki, T. Tsuda, M. Mori, “A Filter-Alternating Color Scanner,” in Proceedings, IGC, 2 Electronic Imaging ’88 East, Boston (Oct. 1988), pp. 1018–1023.

Tsumura, M.

R. Takeuchi, M. Tsumura, M. Tadauchi, H. Shio, “Color Image Scanner with an RGB Linear Image Sensor,” J. Imaging Technol. 14, 68–72 (1988).

Wallis, R. H.

R. H. Wallis, “Appendix B. Multidimensional Mappings, and Least-Squares Curve Fitting of Surfaces,” Film Recording of Digital Color Image, Los Angeles, USCIPI Report 570 (1975), pp. 174–178.

Yashima, O.

M. Katoh, T. Hamaguchi, T. Satoh, O. Yashima, H. Ishikura, “A Contact Type Color Image Sensor and its Color Reproduction Characterictics,” in Proceedings, IGC, 2 Electronic Imaging ’89 West, Pasadena (Mar. 1989), pp. 556–561.

J. Imaging Technol. (1)

R. Takeuchi, M. Tsumura, M. Tadauchi, H. Shio, “Color Image Scanner with an RGB Linear Image Sensor,” J. Imaging Technol. 14, 68–72 (1988).

SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. (1)

D. W. Marquardt, “An Algorithm for Least-Squares Estimation of Nonlinear Parameters,” SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 11, 431–441 (1963).
[CrossRef]

Other (4)

F. Nagano, S. Misaka, H. Mori, “Desktop Color Document Scanner,” in Proceedings, SID International Symposium, Orlando (Oct. 1985), pp. 40–41.

M. Katoh, T. Hamaguchi, T. Satoh, O. Yashima, H. Ishikura, “A Contact Type Color Image Sensor and its Color Reproduction Characterictics,” in Proceedings, IGC, 2 Electronic Imaging ’89 West, Pasadena (Mar. 1989), pp. 556–561.

S. Suzuki, T. Tsuda, M. Mori, “A Filter-Alternating Color Scanner,” in Proceedings, IGC, 2 Electronic Imaging ’88 East, Boston (Oct. 1988), pp. 1018–1023.

R. H. Wallis, “Appendix B. Multidimensional Mappings, and Least-Squares Curve Fitting of Surfaces,” Film Recording of Digital Color Image, Los Angeles, USCIPI Report 570 (1975), pp. 174–178.

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (14)

Fig. 1
Fig. 1

Model of the color scanner.

Fig. 2
Fig. 2

NTSC-RGB response.

Fig. 3
Fig. 3

Conversion performance without negative response.

Fig. 4
Fig. 4

CIELAB color space.

Fig. 5
Fig. 5

Fluorescent lamp spectrum.

Fig. 6
Fig. 6

RGB filter transmittance.

Fig. 7
Fig. 7

CCD sensor sensitivity.

Fig. 8
Fig. 8

Ultraviolet and heat absorbing filter transmittance.

Fig. 9
Fig. 9

JIS color chips.

Fig. 10
Fig. 10

Selected colors.

Fig. 11
Fig. 11

Calculation process.

Fig. 12
Fig. 12

LAB and RGB matrices conversion performances.

Fig. 13
Fig. 13

Synthesized spectral response.

Fig. 14
Fig. 14

Conversion performance for twenty colors.

Tables (1)

Tables Icon

Table I Color Selection

Equations (8)

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

O i = D ( λ ) L ( λ ) F i ( λ ) C ( λ ) S ( λ ) d λ ,
( R G B ) = ( m 1 m 2 m 3 m 4 m 5 m 6 m 7 m 8 m 9 ) ( O 1 O 2 O 3 ) ,
M = ( P n O n t ) ( O n O n t ) - 1 ,
( X Y Z ) = ( 0.607 0.174 0.201 0.299 0.587 0.114 0 0.066 1.117 ) ( R G B ) .
L * = 116 ( Y / Y n ) 1 / 3 - 16 ,
a * = 500 [ ( X / X n ) 1 / 3 - ( Y / Y n ) 1 / 3 ] ,
b * = 200 [ ( Y / Y n ) 1 / 3 - ( Z / Z n ) 1 / 3 ] .
E * = ( L * 1 - L * 2 ) 2 + ( a * 1 - a * 2 ) 2 + ( b * 1 - b * 2 ) 2 ,

Metrics