Two-dimensional charged particle image inversion using a polar basis function expansion
Two-dimensional charged particle image inversion using a polar basis function expansion
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DOI：
10.1063/1.1807578
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发表时间：
2004-11-01
影响因子：
1.6
通讯作者：
Powis, I
中科院分区：
文献类型：
--
作者：
Garcia, GA;Nahon, L;Powis, I
我们提出了一种反演方法称为pBasex旨在重建原来的牛顿球的扩展带电粒子从其二维投影拟合一组基函数与一个已知的逆阿贝尔积分。基函数已适应光电离过程的极对称性，以优化能量和角分辨率，同时最大限度地减少CPU时间和对检测系统可能给出的笛卡尔噪声的响应。这里提出的方法只适用于具有唯一对称轴的系统，尽管它可以适用于克服这种限制。它已经在模拟和实验噪声图像上进行了测试，并与傅里叶-汉克尔算法和[Dribinski Rev. Sci.仪器。73，2634（2002）]，并且在涉及奇数勒让德多项式的情况下似乎给出更好的性能，而在仅存在偶数项的图像中，该方法已被示出为更快和更简单，而不损害其精度。(C)2004年，美国物理学会。
We present an inversion method called pBasex aimed at reconstructing the original Newton sphere of expanding charged particles from its two-dimensional projection by fitting a set of basis functions with a known inverse Abel integral. The basis functions have been adapted to the polar symmetry of the photoionization process to optimize the energy and angular resolution while minimizing the CPU time and the response to the cartesian noise that could be given by the detection system. The method presented here only applies to systems with a unique axis of symmetry although it can be adapted to overcome this restriction. It has been tested on both simulated and experimental noisy images and compared to the Fourier-Hankel algorithm and the original Cartesian basis set used by [Dribinski Rev. Sci. Instrum. 73, 2634 (2002)], and appears to give a better performance where odd Legendre polynomials are involved, while in the images where only even terms are present the method has been shown to be faster and simpler without compromising its accuracy. (C) 2004 American Institute of Physics.