论文标题
颜色滤清器设计的统一优化方法
Unifying Optimization Methods for Color Filter Design
论文作者
论文摘要
通过优化,我们可以解决一个过滤器,当相机通过此过滤器查看世界时,它是更比色的。以前解决了最能满足路德条件的过滤器:过滤后的摄像机光谱敏感性大约是从CIE XYZ颜色匹配函数的线性转换。针对滤波器最大化的滤波器(一种与摄像机传感器和人类视觉传感器跨越的矢量空间的接近度有关的措施),对过滤器进行了优化的最新方法。优化的路德(Luther)和Vora滤波器彼此不同。 在本文中,我们首先观察到,如果我们使用XYZ颜色匹配函数的正顺序基础,则定义Vora-value的函数等效于路德 - 条件优化,即我们线性地将XYZ敏感性转换为一组正式基础。在此公式中,路德优化算法显示出几乎优化了Vora-value。此外,实验表明,与Vora-value滤光片优化相比,修改的正顺式路德方法可以找到相同的颜色过滤器。值得注意的是,我们修改的算法在配方方面更简单,并且比直接Vora-value方法更快。
Through optimization we can solve for a filter that when the camera views the world through this filter, it is more colorimetric. Previous work solved for the filter that best satisfied the Luther condition: the camera spectral sensitivities after filtering were approximately a linear transform from the CIE XYZ color matching functions. A more recent method optimized for the filter that maximized the Vora-Value (a measure which relates to the closeness of the vector spaces spanned by the camera sensors and human vision sensors). The optimized Luther- and Vora-filters are different from one another. In this paper we begin by observing that the function defining the Vora-Value is equivalent to the Luther-condition optimization if we use the orthonormal basis of the XYZ color matching functions, i.e. we linearly transform the XYZ sensitivities to a set of orthonormal basis. In this formulation, the Luther-optimization algorithm is shown to almost optimize the Vora-Value. Moreover, experiments demonstrate that the modified orthonormal Luther-method finds the same color filter compared to the Vora-Value filter optimization. Significantly, our modified algorithm is simpler in formulation and also converges faster than the direct Vora-Value method.