Yamasaki K, Fujisawa A, Nagashima Y
Research Institute for Applied Mechanics, Kyushu University, Kasuga, Fukuoka 816-8580, Japan.
Rev Sci Instrum. 2017 Sep;88(9):093507. doi: 10.1063/1.5000744.
It is a critical issue to find the best set of fitting function bases in mode structural analysis of two dimensional images like plasma emission profiles. The paper proposes a method to optimize a set of the bases in the case of Fourier-Bessel function series, using their orthonormal property, for more efficient and precise analysis. The method is applied on a tomography image of plasma emission obtained with the Maximum-likelihood expectation maximization method in a linear cylindrical device. The result demonstrates the excellency of the method that realizes the smaller residual error and minimum Akaike information criterion using smaller number of fitting function bases.
在诸如等离子体发射轮廓等二维图像的模式结构分析中，找到最佳的拟合函数基集是一个关键问题。本文提出了一种方法，在傅里叶 - 贝塞尔函数系列的情况下，利用其正交归一特性来优化一组基，以进行更高效和精确的分析。该方法应用于在一个线性圆柱形装置中用最大似然期望最大化方法获得的等离子体发射断层图像。结果证明了该方法的优越性，即使用较少数量的拟合函数基就能实现较小的残差误差和最小的赤池信息准则。
