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计算机进入光谱分析领域,提高了数据处理的效率和精度。但计算的准确度与所采用的数学模型有密切关系。对不同形状的分析曲线,需采用相应的数学表达式描述,这就是拟合概念。分析曲线的拟合与回归,是计算程序的核心(主程序)。本文讨论适用分析曲线的三种拟合数模,并指出其适用范围。一、直线型分析曲线的拟合数模由罗马金公式I=a·C~b与乳剂特性曲线公式S=γlgH-i可推导出在曝光正常部分定量分析关系式:△S=γblgC+a。显然,△S与C为对数函数关系(图1)。令x=lgC,y=△S,则y=γbx+a化为线性关
Computers enter the field of spectroscopy and improve the efficiency and accuracy of data processing. However, the accuracy of the calculation is closely related to the mathematical model used. For different shape of the analysis curve, the corresponding mathematical expression to be described, this is the concept of fitting. The fitting and regression of the analysis curve is at the heart of the calculation program (main program). This article discusses the application of the three analytical curve fitting model, and pointed out the scope of its application. First, the straight-line analysis of the curve fitting mathematical model by Roman gold formula I = a · C ~ b and the emulsion characteristic curve formula S = γlgH-i can be derived in the exposure normal part of the quantitative analysis of the relationship: △ S = γblgC + a . Obviously, △ S and C are logarithmic functions (Figure 1). Let x = lgC, y = △ S, then y = γbx + a into a linear relationship