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Special visual effect of art glazes explained by the radiative transfer equation

机译：辐射转移方程解释了艺术釉的特殊视觉效果

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摘要

We present the first modeling of the light scattered by a paint layer in a bidirectional configuration. The studied medium is composed of small concentrated pigments embedded in an oil binder. The color is modulated by changing the number of paint layers, called glazes. The radiative transfer equation is established for incoherent light scattered by the pigments with use of a collimated illumination. The equation is solved by use of the auxiliary function method. This new method, applied here for the first time to a practical case, allows for exact computations of the scattered flux for any incident and collected directions. Spectroscopic and goniometric measurements are implemented in bidirectional and back-scattered configurations. The excellent agreement between the measurement and the simulation validates the assumptions used for the glaze model and proves the effectiveness of the auxiliary function method.
机译：我们介绍了双向配置中由涂料层散射的光的第一个模型。所研究的介质由嵌入油性粘合剂中的少量浓缩颜料组成。通过更改称为釉料的油漆层数来调制颜色。建立使用准直照明的颜料散射的非相干光的辐射传递方程。该方程通过使用辅助函数法求解。此新方法首次在此处应用于实际情况，它允许对任何入射方向和收集方向的散射通量进行精确计算。光谱和测角测量以双向和反向散射配置进行。测量与模拟之间的出色一致性验证了釉料模型所使用的假设，并证明了辅助函数方法的有效性。

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