光电积分测色的希耳伯特空间投影法

A PROJECTION METHOD OF HILBERTSPACE FOR PHOTOELECTRICINTEGERAL COLORIMETRY

本文在光电积分测色的基础上提出了一种颜色测量的希耳伯特空间投影法该法的基本模型是：将ＣＩＥ标准色度观察者的，或彩色传感器的光谱三刺激值均视为希耳伯特空间的不同向量，色刺激函数向量在光谱三刺激值向量上的投影便是其相应的三刺激值该投影法可使近似满足卢瑟条件的彩色传感器的测量准确度提高约５～１０倍，同时也指出了利用多个彩色传感器进行光电积分测量的投影方法该法也为不同测色系统之间的信息转换提供了理论依据本文还利用三洋株式会社生产的集成彩色传感器ＡＭ－３３ＲＧＢ。

 projection method of Hilbert space was introduced in this paper on basis of photoelectric integeral colorimetryThe basic model of the method is:the spectral tristimulus values of CIE standard observer can be described as vectors in Hilbert spaceThe projections that the color stimulus function vector project on the vectros of spectral tristimulus values is tristimulus valuesIt can increase the accuracy of chromatometer which can not strictly satisfy the Luther condition about 5～10 times,and can offer a measurement method of using more than 3 sensorsIt can be used for message exchange between different co-ordinate systemIntegrated color sensor AM-33RGB was used in a simulated experiment to verify the method in this paper