确定恒星表面有效温度的曲面拟合方法

恒星表面有效温度是恒星的一个重要物理参量，是恒星光谱差异的决定因素。本文提出了一种确定恒星表面有效温度的曲面拟合方法，所使用的拟合曲面模型是多项式的指数函数。首先对历史光谱数据进行PCA处理，再根据PCA特征数据与其表面温度的对应关系计算拟合曲面。通过实验，我们发现使用2维PCA数据和指数为3次多项式，根为10的指数函数模型所得到的拟合曲面，不仅有效好的拟合精度而且有很好的鲁棒性。本文的研究结果对恒星表面有效温度的自动测量具有重要的意义。

A Surface Fitting Technique for Determing the Stellar Effective Temperature

The effective temperature of a star is one of the most important parameters,which determine the continuum and spectral lines in the stellar spectrum.A surface fitting technique is proposed to estimate the stellar effective temperature in this paper.Firstly the model spectrum data is processed by the PCA,then a surface,which is a exponential function of a polynomial with base 10,is used to fit the points defined by the PCA data and corresponding effective temperatures,and the effective temperature of other star is determined by the fitting surface.The experiments verify the efficiency of this technique,and show that the exponential function of a cubic polynomial with base 10 in two-dimensional PCA is best in numerical accuracy and robustness.