Abstract

The gamut boundary description (GBD) of multiprimary color displays (MPD) is important for color gamut mapping. Dependent primary color (DPC) is the color stimulus of a controllable color channel represented by an additive mixture of positive amounts of other primary colors. We propose a method to obtain the GBD of a MPD with one DPC. Further, the ideal color volume in CIE xyY and CIE L*a*b* color space with complete-controlling white channel is about 218.8% and 144% compared with the one of digital light processing with incomplete-controlling white channel. The white channel with complete control will not only increase brightness, but also expand color volume.

© 2009 Optical Society of America

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References

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  1. S. Wen, “Design of relative primary luminances for four-primary displays,” Displays 26, 171-176 (2005).
    [CrossRef]
  2. S. Roth, I. Ben-David, M. Ben-Chorin, D. Eliav, and O. Ben-David, “10.2: Wide gamut, high brightness multiple primaries single panel projection displays,” Society for Information Display Symposium Digest of Technical Papers 34, 118-121 (2003).
    [CrossRef]
  3. T. Ajito, T. Obi, M. Yamaguchi, and N. Ohyama, “Expanded color gamut reproduced by six-primary projection display,” Proc. SPIE 3954, 130-137 (2000).
    [CrossRef]
  4. T. Ajito, T. Obi, M. Yamaguchi, and N. Ohyama, “Multiprimary color display for liquid crystal display projectors using diffraction grating,” Opt. Eng. (Bellingham) 38, 1883-1888 (1999).
    [CrossRef]
  5. Y. Murakami, N. Hatano, J. Takiue, M. Yamaguchi, and N. Ohyama, “Evaluation of smooth tonal change reproduction on multiprimary display: comparison of color conversion algorithms,” Proc. SPIE 5289, 275-283 (2004).
    [CrossRef]
  6. M. Yamaguchi, T. Teraji, K. Ohsawa, T. Uchiyama, H. Motomura, Y. Murakami, and N. Ohyama, “Color image reproduction based on multispectral and multiprimary imaging: experimental evaluation,” Proc. SPIE 4663, 15-26 (2001).
    [CrossRef]
  7. Y.-C. Yang, K. Song, S. Rho, N.-S. Rho, S. Hong, K. B. Deul, M. Hong, K. Chung, W. Choe, S. Lee, C. Y. Kim, S.-H. Lee, and H.-R. Kim, “31.1: Development of six primary-color LCD,” Society for Information Display Symposium Digest of Technical Papers 36, 1210-1213 (2005).
    [CrossRef]
  8. T. Ajito, K. Ohsawa, T. Obi, M. Yamaguchi, and N. Ohyma, “Color conversion method for multiprimary display using matrix switching,” Opt. Rev. 8, 191-197 (2001).
    [CrossRef]
  9. J. Morovič, “Fast computation of multi-primary color gamut,” in Color Imaging Conference: Color Science and Engineering Systems, Technologies and Applications (Society for Imaging Science and Technology, 2007), pp. 228-232.
  10. J. Morovič and M. R. Luo, “Calculating medium and image gamut boundaries for gamut mapping,” Color Res. Appl. 25, 394-401 (2000).
    [CrossRef]
  11. J. Morovič, Color Gamut Mapping (Wiley, 2008), Chap. 8.
    [CrossRef]
  12. M. Ou-Yang and S.-W. Huang, “Design considerations between color gamut and brightness for multi-primary color displays,” J. Disp. Technol. 3, 71-82 (2007).
    [CrossRef]
  13. G. Joachim, S. Eva, S. Klaus, and Z. Peter, “Toward image-dependent gamut mapping: fast and accurate gamut boundary determination,” Proc. SPIE 5667, 201-210 (2005).
    [CrossRef]
  14. P. Paolo and S. Raimondo, “Gamut boundary determination for a color printer using the Face Triangulation Method,” Proc. SPIE 5008, 542-547 (2003).
    [CrossRef]
  15. M. Ou-Yang and S.-W. Huang, “Determination of gamut boundary description for multi-primary color displays,” Opt. Express 15, 13388-13403 (2007).
    [CrossRef] [PubMed]
  16. X. Zhao, “Generic device color gamut description,” Color Res. Appl. 32, 394-408 (2007).
    [CrossRef]
  17. G. Wyszecki and W. S. Stiles, Color Science: Concepts and Methods, Quantitative Data and Formulae (Wiley, 1982).

2007 (3)

M. Ou-Yang and S.-W. Huang, “Design considerations between color gamut and brightness for multi-primary color displays,” J. Disp. Technol. 3, 71-82 (2007).
[CrossRef]

X. Zhao, “Generic device color gamut description,” Color Res. Appl. 32, 394-408 (2007).
[CrossRef]

M. Ou-Yang and S.-W. Huang, “Determination of gamut boundary description for multi-primary color displays,” Opt. Express 15, 13388-13403 (2007).
[CrossRef] [PubMed]

2005 (3)

G. Joachim, S. Eva, S. Klaus, and Z. Peter, “Toward image-dependent gamut mapping: fast and accurate gamut boundary determination,” Proc. SPIE 5667, 201-210 (2005).
[CrossRef]

S. Wen, “Design of relative primary luminances for four-primary displays,” Displays 26, 171-176 (2005).
[CrossRef]

Y.-C. Yang, K. Song, S. Rho, N.-S. Rho, S. Hong, K. B. Deul, M. Hong, K. Chung, W. Choe, S. Lee, C. Y. Kim, S.-H. Lee, and H.-R. Kim, “31.1: Development of six primary-color LCD,” Society for Information Display Symposium Digest of Technical Papers 36, 1210-1213 (2005).
[CrossRef]

2004 (1)

Y. Murakami, N. Hatano, J. Takiue, M. Yamaguchi, and N. Ohyama, “Evaluation of smooth tonal change reproduction on multiprimary display: comparison of color conversion algorithms,” Proc. SPIE 5289, 275-283 (2004).
[CrossRef]

2003 (2)

S. Roth, I. Ben-David, M. Ben-Chorin, D. Eliav, and O. Ben-David, “10.2: Wide gamut, high brightness multiple primaries single panel projection displays,” Society for Information Display Symposium Digest of Technical Papers 34, 118-121 (2003).
[CrossRef]

P. Paolo and S. Raimondo, “Gamut boundary determination for a color printer using the Face Triangulation Method,” Proc. SPIE 5008, 542-547 (2003).
[CrossRef]

2001 (2)

M. Yamaguchi, T. Teraji, K. Ohsawa, T. Uchiyama, H. Motomura, Y. Murakami, and N. Ohyama, “Color image reproduction based on multispectral and multiprimary imaging: experimental evaluation,” Proc. SPIE 4663, 15-26 (2001).
[CrossRef]

T. Ajito, K. Ohsawa, T. Obi, M. Yamaguchi, and N. Ohyma, “Color conversion method for multiprimary display using matrix switching,” Opt. Rev. 8, 191-197 (2001).
[CrossRef]

2000 (2)

J. Morovič and M. R. Luo, “Calculating medium and image gamut boundaries for gamut mapping,” Color Res. Appl. 25, 394-401 (2000).
[CrossRef]

T. Ajito, T. Obi, M. Yamaguchi, and N. Ohyama, “Expanded color gamut reproduced by six-primary projection display,” Proc. SPIE 3954, 130-137 (2000).
[CrossRef]

1999 (1)

T. Ajito, T. Obi, M. Yamaguchi, and N. Ohyama, “Multiprimary color display for liquid crystal display projectors using diffraction grating,” Opt. Eng. (Bellingham) 38, 1883-1888 (1999).
[CrossRef]

Ajito, T.

T. Ajito, K. Ohsawa, T. Obi, M. Yamaguchi, and N. Ohyma, “Color conversion method for multiprimary display using matrix switching,” Opt. Rev. 8, 191-197 (2001).
[CrossRef]

T. Ajito, T. Obi, M. Yamaguchi, and N. Ohyama, “Expanded color gamut reproduced by six-primary projection display,” Proc. SPIE 3954, 130-137 (2000).
[CrossRef]

T. Ajito, T. Obi, M. Yamaguchi, and N. Ohyama, “Multiprimary color display for liquid crystal display projectors using diffraction grating,” Opt. Eng. (Bellingham) 38, 1883-1888 (1999).
[CrossRef]

Ben-Chorin, M.

S. Roth, I. Ben-David, M. Ben-Chorin, D. Eliav, and O. Ben-David, “10.2: Wide gamut, high brightness multiple primaries single panel projection displays,” Society for Information Display Symposium Digest of Technical Papers 34, 118-121 (2003).
[CrossRef]

Ben-David, I.

S. Roth, I. Ben-David, M. Ben-Chorin, D. Eliav, and O. Ben-David, “10.2: Wide gamut, high brightness multiple primaries single panel projection displays,” Society for Information Display Symposium Digest of Technical Papers 34, 118-121 (2003).
[CrossRef]

Ben-David, O.

S. Roth, I. Ben-David, M. Ben-Chorin, D. Eliav, and O. Ben-David, “10.2: Wide gamut, high brightness multiple primaries single panel projection displays,” Society for Information Display Symposium Digest of Technical Papers 34, 118-121 (2003).
[CrossRef]

Choe, W.

Y.-C. Yang, K. Song, S. Rho, N.-S. Rho, S. Hong, K. B. Deul, M. Hong, K. Chung, W. Choe, S. Lee, C. Y. Kim, S.-H. Lee, and H.-R. Kim, “31.1: Development of six primary-color LCD,” Society for Information Display Symposium Digest of Technical Papers 36, 1210-1213 (2005).
[CrossRef]

Chung, K.

Y.-C. Yang, K. Song, S. Rho, N.-S. Rho, S. Hong, K. B. Deul, M. Hong, K. Chung, W. Choe, S. Lee, C. Y. Kim, S.-H. Lee, and H.-R. Kim, “31.1: Development of six primary-color LCD,” Society for Information Display Symposium Digest of Technical Papers 36, 1210-1213 (2005).
[CrossRef]

Deul, K. B.

Y.-C. Yang, K. Song, S. Rho, N.-S. Rho, S. Hong, K. B. Deul, M. Hong, K. Chung, W. Choe, S. Lee, C. Y. Kim, S.-H. Lee, and H.-R. Kim, “31.1: Development of six primary-color LCD,” Society for Information Display Symposium Digest of Technical Papers 36, 1210-1213 (2005).
[CrossRef]

Eliav, D.

S. Roth, I. Ben-David, M. Ben-Chorin, D. Eliav, and O. Ben-David, “10.2: Wide gamut, high brightness multiple primaries single panel projection displays,” Society for Information Display Symposium Digest of Technical Papers 34, 118-121 (2003).
[CrossRef]

Eva, S.

G. Joachim, S. Eva, S. Klaus, and Z. Peter, “Toward image-dependent gamut mapping: fast and accurate gamut boundary determination,” Proc. SPIE 5667, 201-210 (2005).
[CrossRef]

Hatano, N.

Y. Murakami, N. Hatano, J. Takiue, M. Yamaguchi, and N. Ohyama, “Evaluation of smooth tonal change reproduction on multiprimary display: comparison of color conversion algorithms,” Proc. SPIE 5289, 275-283 (2004).
[CrossRef]

Hong, M.

Y.-C. Yang, K. Song, S. Rho, N.-S. Rho, S. Hong, K. B. Deul, M. Hong, K. Chung, W. Choe, S. Lee, C. Y. Kim, S.-H. Lee, and H.-R. Kim, “31.1: Development of six primary-color LCD,” Society for Information Display Symposium Digest of Technical Papers 36, 1210-1213 (2005).
[CrossRef]

Hong, S.

Y.-C. Yang, K. Song, S. Rho, N.-S. Rho, S. Hong, K. B. Deul, M. Hong, K. Chung, W. Choe, S. Lee, C. Y. Kim, S.-H. Lee, and H.-R. Kim, “31.1: Development of six primary-color LCD,” Society for Information Display Symposium Digest of Technical Papers 36, 1210-1213 (2005).
[CrossRef]

Huang, S.-W.

M. Ou-Yang and S.-W. Huang, “Determination of gamut boundary description for multi-primary color displays,” Opt. Express 15, 13388-13403 (2007).
[CrossRef] [PubMed]

M. Ou-Yang and S.-W. Huang, “Design considerations between color gamut and brightness for multi-primary color displays,” J. Disp. Technol. 3, 71-82 (2007).
[CrossRef]

Joachim, G.

G. Joachim, S. Eva, S. Klaus, and Z. Peter, “Toward image-dependent gamut mapping: fast and accurate gamut boundary determination,” Proc. SPIE 5667, 201-210 (2005).
[CrossRef]

Kim, C. Y.

Y.-C. Yang, K. Song, S. Rho, N.-S. Rho, S. Hong, K. B. Deul, M. Hong, K. Chung, W. Choe, S. Lee, C. Y. Kim, S.-H. Lee, and H.-R. Kim, “31.1: Development of six primary-color LCD,” Society for Information Display Symposium Digest of Technical Papers 36, 1210-1213 (2005).
[CrossRef]

Kim, H.-R.

Y.-C. Yang, K. Song, S. Rho, N.-S. Rho, S. Hong, K. B. Deul, M. Hong, K. Chung, W. Choe, S. Lee, C. Y. Kim, S.-H. Lee, and H.-R. Kim, “31.1: Development of six primary-color LCD,” Society for Information Display Symposium Digest of Technical Papers 36, 1210-1213 (2005).
[CrossRef]

Klaus, S.

G. Joachim, S. Eva, S. Klaus, and Z. Peter, “Toward image-dependent gamut mapping: fast and accurate gamut boundary determination,” Proc. SPIE 5667, 201-210 (2005).
[CrossRef]

Lee, S.

Y.-C. Yang, K. Song, S. Rho, N.-S. Rho, S. Hong, K. B. Deul, M. Hong, K. Chung, W. Choe, S. Lee, C. Y. Kim, S.-H. Lee, and H.-R. Kim, “31.1: Development of six primary-color LCD,” Society for Information Display Symposium Digest of Technical Papers 36, 1210-1213 (2005).
[CrossRef]

Lee, S.-H.

Y.-C. Yang, K. Song, S. Rho, N.-S. Rho, S. Hong, K. B. Deul, M. Hong, K. Chung, W. Choe, S. Lee, C. Y. Kim, S.-H. Lee, and H.-R. Kim, “31.1: Development of six primary-color LCD,” Society for Information Display Symposium Digest of Technical Papers 36, 1210-1213 (2005).
[CrossRef]

Luo, M. R.

J. Morovič and M. R. Luo, “Calculating medium and image gamut boundaries for gamut mapping,” Color Res. Appl. 25, 394-401 (2000).
[CrossRef]

Morovic, J.

J. Morovič and M. R. Luo, “Calculating medium and image gamut boundaries for gamut mapping,” Color Res. Appl. 25, 394-401 (2000).
[CrossRef]

J. Morovič, Color Gamut Mapping (Wiley, 2008), Chap. 8.
[CrossRef]

J. Morovič, “Fast computation of multi-primary color gamut,” in Color Imaging Conference: Color Science and Engineering Systems, Technologies and Applications (Society for Imaging Science and Technology, 2007), pp. 228-232.

Motomura, H.

M. Yamaguchi, T. Teraji, K. Ohsawa, T. Uchiyama, H. Motomura, Y. Murakami, and N. Ohyama, “Color image reproduction based on multispectral and multiprimary imaging: experimental evaluation,” Proc. SPIE 4663, 15-26 (2001).
[CrossRef]

Murakami, Y.

Y. Murakami, N. Hatano, J. Takiue, M. Yamaguchi, and N. Ohyama, “Evaluation of smooth tonal change reproduction on multiprimary display: comparison of color conversion algorithms,” Proc. SPIE 5289, 275-283 (2004).
[CrossRef]

M. Yamaguchi, T. Teraji, K. Ohsawa, T. Uchiyama, H. Motomura, Y. Murakami, and N. Ohyama, “Color image reproduction based on multispectral and multiprimary imaging: experimental evaluation,” Proc. SPIE 4663, 15-26 (2001).
[CrossRef]

Obi, T.

T. Ajito, K. Ohsawa, T. Obi, M. Yamaguchi, and N. Ohyma, “Color conversion method for multiprimary display using matrix switching,” Opt. Rev. 8, 191-197 (2001).
[CrossRef]

T. Ajito, T. Obi, M. Yamaguchi, and N. Ohyama, “Expanded color gamut reproduced by six-primary projection display,” Proc. SPIE 3954, 130-137 (2000).
[CrossRef]

T. Ajito, T. Obi, M. Yamaguchi, and N. Ohyama, “Multiprimary color display for liquid crystal display projectors using diffraction grating,” Opt. Eng. (Bellingham) 38, 1883-1888 (1999).
[CrossRef]

Ohsawa, K.

M. Yamaguchi, T. Teraji, K. Ohsawa, T. Uchiyama, H. Motomura, Y. Murakami, and N. Ohyama, “Color image reproduction based on multispectral and multiprimary imaging: experimental evaluation,” Proc. SPIE 4663, 15-26 (2001).
[CrossRef]

T. Ajito, K. Ohsawa, T. Obi, M. Yamaguchi, and N. Ohyma, “Color conversion method for multiprimary display using matrix switching,” Opt. Rev. 8, 191-197 (2001).
[CrossRef]

Ohyama, N.

Y. Murakami, N. Hatano, J. Takiue, M. Yamaguchi, and N. Ohyama, “Evaluation of smooth tonal change reproduction on multiprimary display: comparison of color conversion algorithms,” Proc. SPIE 5289, 275-283 (2004).
[CrossRef]

M. Yamaguchi, T. Teraji, K. Ohsawa, T. Uchiyama, H. Motomura, Y. Murakami, and N. Ohyama, “Color image reproduction based on multispectral and multiprimary imaging: experimental evaluation,” Proc. SPIE 4663, 15-26 (2001).
[CrossRef]

T. Ajito, T. Obi, M. Yamaguchi, and N. Ohyama, “Expanded color gamut reproduced by six-primary projection display,” Proc. SPIE 3954, 130-137 (2000).
[CrossRef]

T. Ajito, T. Obi, M. Yamaguchi, and N. Ohyama, “Multiprimary color display for liquid crystal display projectors using diffraction grating,” Opt. Eng. (Bellingham) 38, 1883-1888 (1999).
[CrossRef]

Ohyma, N.

T. Ajito, K. Ohsawa, T. Obi, M. Yamaguchi, and N. Ohyma, “Color conversion method for multiprimary display using matrix switching,” Opt. Rev. 8, 191-197 (2001).
[CrossRef]

Ou-Yang, M.

M. Ou-Yang and S.-W. Huang, “Design considerations between color gamut and brightness for multi-primary color displays,” J. Disp. Technol. 3, 71-82 (2007).
[CrossRef]

M. Ou-Yang and S.-W. Huang, “Determination of gamut boundary description for multi-primary color displays,” Opt. Express 15, 13388-13403 (2007).
[CrossRef] [PubMed]

Paolo, P.

P. Paolo and S. Raimondo, “Gamut boundary determination for a color printer using the Face Triangulation Method,” Proc. SPIE 5008, 542-547 (2003).
[CrossRef]

Peter, Z.

G. Joachim, S. Eva, S. Klaus, and Z. Peter, “Toward image-dependent gamut mapping: fast and accurate gamut boundary determination,” Proc. SPIE 5667, 201-210 (2005).
[CrossRef]

Raimondo, S.

P. Paolo and S. Raimondo, “Gamut boundary determination for a color printer using the Face Triangulation Method,” Proc. SPIE 5008, 542-547 (2003).
[CrossRef]

Rho, N.-S.

Y.-C. Yang, K. Song, S. Rho, N.-S. Rho, S. Hong, K. B. Deul, M. Hong, K. Chung, W. Choe, S. Lee, C. Y. Kim, S.-H. Lee, and H.-R. Kim, “31.1: Development of six primary-color LCD,” Society for Information Display Symposium Digest of Technical Papers 36, 1210-1213 (2005).
[CrossRef]

Rho, S.

Y.-C. Yang, K. Song, S. Rho, N.-S. Rho, S. Hong, K. B. Deul, M. Hong, K. Chung, W. Choe, S. Lee, C. Y. Kim, S.-H. Lee, and H.-R. Kim, “31.1: Development of six primary-color LCD,” Society for Information Display Symposium Digest of Technical Papers 36, 1210-1213 (2005).
[CrossRef]

Roth, S.

S. Roth, I. Ben-David, M. Ben-Chorin, D. Eliav, and O. Ben-David, “10.2: Wide gamut, high brightness multiple primaries single panel projection displays,” Society for Information Display Symposium Digest of Technical Papers 34, 118-121 (2003).
[CrossRef]

Song, K.

Y.-C. Yang, K. Song, S. Rho, N.-S. Rho, S. Hong, K. B. Deul, M. Hong, K. Chung, W. Choe, S. Lee, C. Y. Kim, S.-H. Lee, and H.-R. Kim, “31.1: Development of six primary-color LCD,” Society for Information Display Symposium Digest of Technical Papers 36, 1210-1213 (2005).
[CrossRef]

Stiles, W. S.

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

Takiue, J.

Y. Murakami, N. Hatano, J. Takiue, M. Yamaguchi, and N. Ohyama, “Evaluation of smooth tonal change reproduction on multiprimary display: comparison of color conversion algorithms,” Proc. SPIE 5289, 275-283 (2004).
[CrossRef]

Teraji, T.

M. Yamaguchi, T. Teraji, K. Ohsawa, T. Uchiyama, H. Motomura, Y. Murakami, and N. Ohyama, “Color image reproduction based on multispectral and multiprimary imaging: experimental evaluation,” Proc. SPIE 4663, 15-26 (2001).
[CrossRef]

Uchiyama, T.

M. Yamaguchi, T. Teraji, K. Ohsawa, T. Uchiyama, H. Motomura, Y. Murakami, and N. Ohyama, “Color image reproduction based on multispectral and multiprimary imaging: experimental evaluation,” Proc. SPIE 4663, 15-26 (2001).
[CrossRef]

Wen, S.

S. Wen, “Design of relative primary luminances for four-primary displays,” Displays 26, 171-176 (2005).
[CrossRef]

Wyszecki, G.

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

Yamaguchi, M.

Y. Murakami, N. Hatano, J. Takiue, M. Yamaguchi, and N. Ohyama, “Evaluation of smooth tonal change reproduction on multiprimary display: comparison of color conversion algorithms,” Proc. SPIE 5289, 275-283 (2004).
[CrossRef]

M. Yamaguchi, T. Teraji, K. Ohsawa, T. Uchiyama, H. Motomura, Y. Murakami, and N. Ohyama, “Color image reproduction based on multispectral and multiprimary imaging: experimental evaluation,” Proc. SPIE 4663, 15-26 (2001).
[CrossRef]

T. Ajito, K. Ohsawa, T. Obi, M. Yamaguchi, and N. Ohyma, “Color conversion method for multiprimary display using matrix switching,” Opt. Rev. 8, 191-197 (2001).
[CrossRef]

T. Ajito, T. Obi, M. Yamaguchi, and N. Ohyama, “Expanded color gamut reproduced by six-primary projection display,” Proc. SPIE 3954, 130-137 (2000).
[CrossRef]

T. Ajito, T. Obi, M. Yamaguchi, and N. Ohyama, “Multiprimary color display for liquid crystal display projectors using diffraction grating,” Opt. Eng. (Bellingham) 38, 1883-1888 (1999).
[CrossRef]

Yang, Y.-C.

Y.-C. Yang, K. Song, S. Rho, N.-S. Rho, S. Hong, K. B. Deul, M. Hong, K. Chung, W. Choe, S. Lee, C. Y. Kim, S.-H. Lee, and H.-R. Kim, “31.1: Development of six primary-color LCD,” Society for Information Display Symposium Digest of Technical Papers 36, 1210-1213 (2005).
[CrossRef]

Zhao, X.

X. Zhao, “Generic device color gamut description,” Color Res. Appl. 32, 394-408 (2007).
[CrossRef]

Proc. SPIE (1)

M. Yamaguchi, T. Teraji, K. Ohsawa, T. Uchiyama, H. Motomura, Y. Murakami, and N. Ohyama, “Color image reproduction based on multispectral and multiprimary imaging: experimental evaluation,” Proc. SPIE 4663, 15-26 (2001).
[CrossRef]

Color Res. Appl. (2)

J. Morovič and M. R. Luo, “Calculating medium and image gamut boundaries for gamut mapping,” Color Res. Appl. 25, 394-401 (2000).
[CrossRef]

X. Zhao, “Generic device color gamut description,” Color Res. Appl. 32, 394-408 (2007).
[CrossRef]

Displays (1)

S. Wen, “Design of relative primary luminances for four-primary displays,” Displays 26, 171-176 (2005).
[CrossRef]

J. Disp. Technol. (1)

M. Ou-Yang and S.-W. Huang, “Design considerations between color gamut and brightness for multi-primary color displays,” J. Disp. Technol. 3, 71-82 (2007).
[CrossRef]

Opt. Eng. (Bellingham) (1)

T. Ajito, T. Obi, M. Yamaguchi, and N. Ohyama, “Multiprimary color display for liquid crystal display projectors using diffraction grating,” Opt. Eng. (Bellingham) 38, 1883-1888 (1999).
[CrossRef]

Opt. Express (1)

Opt. Rev. (1)

T. Ajito, K. Ohsawa, T. Obi, M. Yamaguchi, and N. Ohyma, “Color conversion method for multiprimary display using matrix switching,” Opt. Rev. 8, 191-197 (2001).
[CrossRef]

Proc. SPIE (4)

Y. Murakami, N. Hatano, J. Takiue, M. Yamaguchi, and N. Ohyama, “Evaluation of smooth tonal change reproduction on multiprimary display: comparison of color conversion algorithms,” Proc. SPIE 5289, 275-283 (2004).
[CrossRef]

T. Ajito, T. Obi, M. Yamaguchi, and N. Ohyama, “Expanded color gamut reproduced by six-primary projection display,” Proc. SPIE 3954, 130-137 (2000).
[CrossRef]

G. Joachim, S. Eva, S. Klaus, and Z. Peter, “Toward image-dependent gamut mapping: fast and accurate gamut boundary determination,” Proc. SPIE 5667, 201-210 (2005).
[CrossRef]

P. Paolo and S. Raimondo, “Gamut boundary determination for a color printer using the Face Triangulation Method,” Proc. SPIE 5008, 542-547 (2003).
[CrossRef]

Society for Information Display Symposium Digest of Technical Papers (2)

S. Roth, I. Ben-David, M. Ben-Chorin, D. Eliav, and O. Ben-David, “10.2: Wide gamut, high brightness multiple primaries single panel projection displays,” Society for Information Display Symposium Digest of Technical Papers 34, 118-121 (2003).
[CrossRef]

Y.-C. Yang, K. Song, S. Rho, N.-S. Rho, S. Hong, K. B. Deul, M. Hong, K. Chung, W. Choe, S. Lee, C. Y. Kim, S.-H. Lee, and H.-R. Kim, “31.1: Development of six primary-color LCD,” Society for Information Display Symposium Digest of Technical Papers 36, 1210-1213 (2005).
[CrossRef]

Other (3)

J. Morovič, “Fast computation of multi-primary color gamut,” in Color Imaging Conference: Color Science and Engineering Systems, Technologies and Applications (Society for Imaging Science and Technology, 2007), pp. 228-232.

J. Morovič, Color Gamut Mapping (Wiley, 2008), Chap. 8.
[CrossRef]

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

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Figures (7)

Fig. 1
Fig. 1

(a) Light intensity (Y) curves of the primary colors, net-white, and total white. (b) Normalized Y curves of the primary colors, net-white, and total white. (c) Color volume in CIE xyY space without white enhancement. (d) Color volume in CIE xyY space with white enhancement and incomplete control.

Fig. 2
Fig. 2

Apex conditions are relative to the location of the dependent primary color in CIE xy color space.

Fig. 3
Fig. 3

(a), (b), (c) Different locations of DPC are discussed. (d) The location of DPC is the same as the one in (c), but is discussed at the other light intensity Y larger than the one in (c).

Fig. 4
Fig. 4

Block diagram of the experimental apparatus. The experiments use two LCD projectors for a four-primary color system, where one projector provides the three primary colors red(R), green(G), blue(B), and another projector provides the fourth primary color cyan (C).

Fig. 5
Fig. 5

Photo of the equipment in Fig. 4, showing that projector I and projector II are LCD projectors (Professional EX-2700 Series).

Fig. 6
Fig. 6

(a) Measured data marked with points are compared with the simulated gamut boundaries marked with lines at all light intensities. (b) The measured data marked with points compared with the simulated gamut boundary marked with a line at the light intensity Y are equal to 900, 2700, 4600, 6600, 8600, 10600 lx.

Fig. 7
Fig. 7

(a), (b) Color volume of the white channel with incomplete control is drawn in CIE xyY and CIE L * a * b * color space. (c), (d) The color volume of the white channel with full control is drawn in CIE xyY and CIE L * a * b * color space. Here the white color enhancement is a DPC.

Equations (13)

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x m = i = 1 n m i x i i = 1 n m i ,
y m = i = 1 n m i y i i = 1 n m i ,
G = ( x g , y g ) = ( k = i j Y k y k x k k = i j Y k y k , k = i j Y k y k y k k = i j Y k y k ) ,
M 1 = ( k = i j Y k y g x g + Y k = i j Y k y i 1 x i 1 k = i j Y k y g + Y k = i j Y k y i 1 , k = i j Y k y g y g + Y k = i j Y k y i 1 y i 1 k = i j Y k y g + Y k = i j Y k y i 1 ) ,
M 2 = ( k = i j Y k y g x g + Y k = i j Y k y j + 1 x j + 1 k = i j Y k y g + Y k = i j Y k y j + 1 , k = i j Y k y g y g + Y k = i j Y k y j + 1 y j + 1 k = i j Y k y g + Y k = i j Y k y j + 1 ) ,
M d = ( k = i j Y k y g x g + Y k = i j Y k y d x d k = i j Y k y g + Y k = i j Y k y d , k = i j Y k y g y g + Y k = i j Y k y j + 1 y d k = i j Y k y g + Y k = i j Y k y d ) ,
( x n , y n ) = ( X n X n + Y n + Z n , Y n X n + Y n + Z n ) ,
X n = i = 1 N x i y i Y i ,
Y n = i = 1 N Y i ,
Z n = i = 1 N ( 1 y i x i y i 1 ) Y i ,
L * = 116 [ f ( Y Y n ) 16 116 ] ,
a * = 500 [ f ( X X n ) f ( Y Y n ) ] ,
b * = 200 [ f ( Y Y n ) f ( Z Z n ) ] ,

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