在此篇論文中，我們採用線性基底重建光譜的方式進行人造光源頻譜的重建，並提出二種計算「重建係數」的方法，首先，以標準光、輔助標準光及部份代表性螢光燈為資料庫，並比較二種重建係數求取方法的好壞，而選擇重建效果較好的拉格朗日乘數法作為此篇研究的重點。我們以目前市面上的人造光源頻譜作為資料庫，依據主成份分析法(PCA)取得基底，並計算其變異比例值，決定採用的基底數量，以拉格朗日乘數法求得的係數進行重建，最後再以完美符合指數值(GFC)評估重建前後頻譜相似度。

We suggest linear bases to reconstruct artificial light sources spectrum, and propose two kinds of methods to calculate ‘reconstruction coefficient’. At first, regard standard light, auxiliary standard light and fluorescent light as the database, and compare these two reconstruction methods to select which is better one. Obtain bases according to the principal component analysis approach (PCA) as the database in our artificial light sources spectrum on the market at present. The number of bases is determined by the percent of the total variance. Finally, we reconstruct spectrum with coefficient obtained by Lagrange multiplier method and estimate the spectrum similarity between before and after reconstruction with goodness-fitting coefficient.

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