Multidimensional polyhedral gamut representation of reflective objects and its application to design of color input devices

大多数反射物体（如自然物体和彩色硬拷贝）的光谱反射率相对平滑，可以用几个高精度的主成分近似。虽然由这些主分量所跨越的子空间表示反射对象存在于其中的空间，但是它不提供对象分布或色域的限制。在这个项目中，我们提出了表示的反射对象的色域作为一个凸多面体的子空间由几个主成分。介绍了基于光谱反射率数据库的多面体色域表示的概念及其在条件等色系综计算中的应用。计算了同色异谱系综在不同光源和观察者情况下的颜色失配体积，并与理论值进行了比较。

The spectral reflectance of most reflective objects, such as natural objects and color hardcopy, is relatively smooth and can be approximated by several principal components with high accuracy. Although the subspace spanned by those principal components represents a space in which reflective objects exist, it does not provide the limit of the object distribution or the gamut. In this project we proposed to represent the gamut of reflective objects as a convex polyhedron in the subspace spanned by several principal components. The concept of the polyhedral gamut representation based on the spectral reflectance database and its application to the calculation of metamer ensembles are described. The color-mismatch volume caused by different illuminant and/or observer for a metamer ensemble is also calculated and compared with the theoretical ones.