The Calculation of Weighting Factors for Calculation of Tristimulus Values

  • Ohkubo Kazuaki
    Lighting Research Laboratory, Matsushita Electric Industrial Co., Ltd
  • Sobagaki Hiroaki
    Osaka Life Electronics Research Center, Electrotechnical Laboratory

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Other Title
  • 三刺激値計算のための重価係数の求めかた
  • 3刺激値計算のための重価係数の求めかた
  • 3 シゲキチ ケイサン ノ タメ ノ ジュウカ ケイスウ ノ モトメ カ タ

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Abstract

For reflecting or transmitting object colours, the CIE tristimulus vslues of a colour stimulus are obtained by multiplying, at each wavelength, the value of the weigthing factors by that of each of the spectral reflectance or the spectral transmittance of the object colour. Then each set of products is integrated over the wavelength range corresponding to the entire visible spectrum, 380 to 780nm. The integration may be carried out by numerical summation at a wavelength interval, equal to 5nm. The weigthing factors are obtained by multiplying, at each wavelength, the value of the relative spectral power distribution of the illuminant by the CIE colour-matching functions.<BR>In practical applications, all the required data may not be available because of measurement at greater intervals intervals than 5nm, equal to the 10nm or 20nm intervals data. In this paper, the method for the calculation of the weigthing factors for the 10nm or 20nm intervals measurenent data using interpolation is reported.

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