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Kubelka-Munk Theory and the MTF of Paper

机译：Kubelka-Munk理论与论文的MTF

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摘要

An experimental analysis of paper optical scattering is reported. The Kubelka-Munk parameters for scattering, S, absorption, K, thickness, L, and background reflectance, R_g, were measured for a variety of papers. Measurements were made of reflectance and transmittance using integrating sphere techniques, and the Kubelka-Munk Eqs. were inverted numerically to generate the corresponding S and K values. The modulation transfer function, MTF, of each paper sample was also measured by projecting a sharp edge onto the paper and measuring the resulting edge spread function. The MTF was calculated as the modulus of the Fourier transform of the derivative of the edge function. The inverse of the frequency at which the MTF = 0.5 was used as an index of the, MTF and called k_p. Values of k_p were compared to values of the Kubelka-Munk parameters. Through a combination of theory and empirical observation, a model was developed to relate k_p to S, K, and L for R_g = 0. The results strongly indicate that an additional parameter is required in order to rationalize the observed MTF of papers. This additional parameter is suggested to be the scattering homogeneity of the paper.
机译：报告了纸光散射的实验分析。测量了各种纸张的Kubelka-Munk散射，S，吸收，K，厚度，L和背景反射率R_g的参数。使用积分球技术和Kubelka-Munk方程对反射率和透射率进行了测量。将其数字化以生成相应的S和K值。还通过将锋利的边缘投射到纸张上并测量所得的边缘扩散函数来测量每个纸张样本的调制传递函数MTF。将MTF计算为边缘函数导数的傅立叶变换的模数。 MTF = 0.5的频率的倒数用作MTF的指标，称为k_p。将k_p的值与Kubelka-Munk参数的值进行比较。通过理论和经验观察相结合，开发了一个模型，将R_g = 0的k_p与S，K和L相关联。结果强烈表明需要一个附加参数来合理化所观察论文的MTF。建议该附加参数是纸张的散射均匀性。

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