Optimized Basis Function for Spectral Reflectance Recovery from Tristimulus Values
Optimized Basis Function for Spectral Reflectance Recovery from Tristimulus Values
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从三刺激值恢复光谱反射率的优化基函数
DOI：
10.1007/s10043-014-0019-8
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发表时间：
2014
期刊：
影响因子：
1.2
通讯作者：
唐延东
中科院分区：
文献类型：
--
作者：
吴登禄;田建东;唐延东
光谱反射率是材料的重要物理性质。它在色彩恒常性、照明建模和色彩再现中起着重要作用。光谱反射率基函数是影响光谱反射率恢复的重要因素。以往的方法主要是采用主成分分析（PCA）及其改进方法计算反射光谱数据集的基函数。在本文中，我们提出了一种新的方法来解决这个问题。具体来说，我们提出了一个新的成本函数和一些约束条件，通过最小化成本函数将问题转化为优化问题。与PCA方法产生的正交基函数近似的反射光谱，我们的方法产生的非正交基函数更好地近似的反射光谱。实验结果表明，我们推导出的基函数比PCA方法得到的反射光谱恢复。
Spectral reflectance is a significant physical property of materials. It plays an important role in color constancy, illumination modeling, and color reproduction. Spectral reflectance basis functions are the most important impact factors for spectral reflectance recovery. Previous methods mainly calculated basis functions for the reflectance spectra data sets by employing the principle component analysis (PCA) and its improved methods. In this paper, we present a new method to solve this problem. Specifically, we propose a new cost function and some constraint conditions to convert the problem into an optimization problem by minimizing the cost function. Unlike the PCA method which yields the orthogonal basis functions for approximating the reflectance spectra, our method yields the nonorthogonal basis functions for better approximating the reflectance spectra. Experimental results show that our derived basis functions are better than those obtained by the PCA method for reflectance spectra recovery.