A proposal of Fourier-Bessel expansion with optimized ensembles of bases to analyse two dimensional image.

A proposal of Fourier-Bessel expansion with optimized ensembles of bases to analyse two dimensional image.
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提出了利用优化的基群进行傅立叶-贝塞尔展开来分析二维图像的建议。

DOI:
10.1063/1.5000744
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发表时间:
2017
期刊:
The Review of scientific instruments
影响因子:
--
通讯作者:
Y. Nagashima
Y. Nagashima
中科院分区:
--
文献类型:
--
作者:
K. Yamasaki;A. Fujisawa;Y. Nagashima

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在等离子体发射轮廓等二维图像的模态结构分析中,寻找最佳的拟合函数基是一个关键问题。本文提出了一种利用傅里叶-贝塞尔函数序列的正交性来优化一组基的方法,以提高分析的效率和精度。将该方法应用于用最大似然期望最大化法在线性圆柱形器件中获得的等离子体发射层析成像。结果表明,该方法使用较少的拟合函数库实现了较小的残差和最小的赤池信息准则。
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.
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DOI: --
发表时间: 2010
影响因子: 1.6
作者:
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DOI: 10.1038/nphys1029
发表时间: 2008-09-01
期刊: NATURE PHYSICS
影响因子: 19.6
作者:
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