Theoretical analysis of subtractive color mixture characteristics III-Realistic colorants and single tristimulus dimension
Continuing our work to further understand the characteristics of stimulus values of a single tristimulus dimension in colors obtained by subtractive color mixture, discussions proceed related to realistic colorants. New theorems are intended to provide for the establishment of bounds for realistic c...
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| Published in | Color research and application Vol. 30; no. 5; pp. 354 - 362 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
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01.10.2005
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| Abstract | Continuing our work to further understand the characteristics of stimulus values of a single tristimulus dimension in colors obtained by subtractive color mixture, discussions proceed related to realistic colorants. New theorems are intended to provide for the establishment of bounds for realistic colorants in mixtures when stimulus measurements of the constituent single‐colorant samples and the illuminant are obtainable. Related to the new theorems, a formulation is derived for the calculation of the bounds of realistic colorants whose spectral transmittances are represented by weighted combinations of basic functions. By solving the formulation, numerical illustrations are provided for various conditions. The results contribute toward a comprehensive modeling of subtractive color mixture. © 2005 Wiley Periodicals, Inc. Col Res Appl, 30, 354–362, 2005; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/col. |
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| AbstractList | Abstract
Continuing our work to further understand the characteristics of stimulus values of a single tristimulus dimension in colors obtained by subtractive color mixture, discussions proceed related to realistic colorants. New theorems are intended to provide for the establishment of bounds for realistic colorants in mixtures when stimulus measurements of the constituent single‐colorant samples and the illuminant are obtainable. Related to the new theorems, a formulation is derived for the calculation of the bounds of realistic colorants whose spectral transmittances are represented by weighted combinations of basic functions. By solving the formulation, numerical illustrations are provided for various conditions. The results contribute toward a comprehensive modeling of subtractive color mixture. © 2005 Wiley Periodicals, Inc. Col Res Appl, 30, 354–362, 2005; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/col. Continuing our work to further understand the characteristics of stimulus values of a single tristimulus dimension in colors obtained by subtractive color mixture, discussions proceed related to realistic colorants. New theorems are intended to provide for the establishment of bounds for realistic colorants in mixtures when stimulus measurements of the constituent single‐colorant samples and the illuminant are obtainable. Related to the new theorems, a formulation is derived for the calculation of the bounds of realistic colorants whose spectral transmittances are represented by weighted combinations of basic functions. By solving the formulation, numerical illustrations are provided for various conditions. The results contribute toward a comprehensive modeling of subtractive color mixture. © 2005 Wiley Periodicals, Inc. Col Res Appl, 30, 354–362, 2005; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/col. |
| Author | Ohta, Noboru Matsushiro, Nobuhito |
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| Cites_doi | 10.1002/col.10143 10.1364/JOSA.44.000530 10.1007/BF01009452 10.1007/978-1-349-00958-9 10.1002/col.20043 10.1021/ac60325a010 |
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| References | Kirkpatrick S. Optimization by simulated annealing: quantitative studies. J Statist Phys 1984; 34: 975-986. Matsushiro N, Ohta N. Theoretical analysis of subtractive color mixture characteristics. Color Res Appl 2003; 28: 175-181. Ohta N. Estimating absorption bands of component dyes by means of principal component analysis. Anal Chem 1973; 45: 553-557. Morris RH, Morrissey JH. An objective method for determination of equivalent neutral densities of color film images, II. Determination of primary equivalent neutral densities. J Opt Soc Am 1954; 44: 530-534. Wyszecki G, Stiles WS. Color Science, 2nd edition New york: John Wiley and Sons; 1982. 31 p. Ohta N. Optimization of spectral sensitivities. Phot Sci Eng 1983; 27: 193-201. Bouma PJ. Physical Aspects of Color, 2nd edition London: Macmillian; 1971. Ohta N. Colorimetric analysis in the design of color films: a perspective. J Imag Sci Tech 1992; 36: 63-72. Berkovitz LD. Convexity and Optimization in Rn. Wiley Inter-Science 2002; 210-215. Matsushiro N, Ohta N. Theoretical analysis of subtractive color mixture characteristics II. Color Res Appl 2004; 29: 354-359. 2003; 28 1992; 36 1982 1971 1980 2002 2004; 29 1954; 44 1973; 45 1983; 27 1984; 34 e_1_2_1_6_2 Bouma PJ (e_1_2_1_8_2) 1971 Allen E (e_1_2_1_5_2) 1980 e_1_2_1_4_2 Wyszecki G (e_1_2_1_7_2) 1982 Ohta N (e_1_2_1_3_2) 1992; 36 e_1_2_1_2_2 e_1_2_1_11_2 e_1_2_1_1_2 Ohta N (e_1_2_1_10_2) 1983; 27 Berkovitz LD (e_1_2_1_9_2) 2002 |
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| Title | Theoretical analysis of subtractive color mixture characteristics III-Realistic colorants and single tristimulus dimension |
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