Reconstruction of abel-transformable images: The Gaussian basis-set expansion abel transform method
Reconstruction of abel-transformable images: The Gaussian basis-set expansion abel transform method
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DOI：
10.1063/1.1482156
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发表时间：
2002-07-01
影响因子：
1.6
通讯作者：
Reisler, H
中科院分区：
文献类型：
--
作者：
Dribinski, V;Ossadtchi, A;Reisler, H
在这篇文章中，我们提出了一种新的方法来重建三维（3D）图像与圆柱对称从他们的二维投影。该方法是基于扩展的投影在一个基本的功能集，是已知的良好表现的功能的分析投影。然后，原始3D图像可以被重建为这些行为良好的函数的线性组合，这些函数具有类似高斯的形状，具有与投影相同的展开系数。在寻找展开系数的过程中，使用正则化来实现对有噪投影的更可靠的重建。该方法是有效的，计算成本低，特别适合于转换在光离子和光电子成像实验中获得的投影。它可以用于任何具有圆柱对称性的图像，需要最少的用户输入，并且在通常使用的Fourier-Hankel Abel变换方法失败时的某些情况下提供可靠的重建。(C)2002年美国物理学会。
In this article we present a new method for reconstructing three-dimensional (3D) images with cylindrical symmetry from their two-dimensional projections. The method is based on expanding the projection in a basis set of functions that are analytical projections of known well-behaved functions. The original 3D image can then be reconstructed as a linear combination of these well-behaved functions, which have a Gaussian-like shape, with the same expansion coefficients as the projection. In the process of finding the expansion coefficients, regularization is used to achieve a more reliable reconstruction of noisy projections. The method is efficient and computationally cheap and is particularly well suited for transforming projections obtained in photoion and photoelectron imaging experiments. It can be used for any image with cylindrical symmetry, requires minimal user's input, and provides a reliable reconstruction in certain cases when the commonly used Fourier-Hankel Abel transform method fails. (C) 2002 American Institute of Physics.