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Link Functions and Matérn Kernel in the Estimation of Reflectance Spectra from RGB Responses.

Journal of the Optical Society of America. A, Optics, image science, and vision(2013)SCI 3区

Univ Eastern Finland | Univ Helsinki

Cited 26|Views8
Abstract
We evaluate three link functions (square root, logit, and copula) and Matern kernel in the kernel-based estimation of reflectance spectra of the Munsell Matte collection in the 400-700 nm region. We estimate reflectance spectra from RGB camera responses in case of real and simulated responses and show that a combination of link function and a kernel regression model with a Matern kernel decreases spectral errors when compared to a Gaussian mixture model or kernel regression with the Gaussian kernel. Matern kernel produces performance similar to the thin plate spline model, but does not require a parametric polynomial part in the model. (C) 2013 Optical Society of America
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要点】:该论文评估了三种连接函数(平方根、对数和copula)和Matern核在基于核的Munsell Matte系列反射光谱估计中的性能,发现这些方法相较于高斯混合模型或高斯核回归模型能有效降低光谱误差,创新点在于结合了连接函数和Matern核回归模型提高估计精度。

方法】:本文采用三种连接函数和Matern核函数结合核回归模型进行反射光谱估计。

实验】:研究基于Munsell Matte系列在400-700 nm波段的反射光谱,使用实测和模拟的RGB响应数据进行估计,实验结果显示此方法能有效减少光谱估计误差,Matern核在性能上与薄板样条模型相当,但不需要模型中的参数化多项式部分。