A Hybrid Inversion Algorithm Applied in Laser Scattering Particle Size

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A Hybrid Inversion Algorithm Applied in Laser Scattering Particle Size

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- A Hybrid Inversion Algorithm Applied in Laser Scattering Particle Size
- Optics and Precision Engineering Vol. 17, Issue 9, Pages: 2120-2127(2009)
- 作者机构：
  
  华南理工大学材料科学与工程学院
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Received：09 September 2008，
  
  Revised：17 November 2008，
  
  Published Online：25 September 2009，
  
  Published：25 September 2009
- 稿件说明：
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王燕民. 激光粒度测量的综合反演及参数选择[J]. 光学精密工程, 2009,17(9):2120-2127

A Hybrid Inversion Algorithm Applied in Laser Scattering Particle Size[J]. Optics and precision engineering, 2009, 17(9): 2120-2127.
王燕民. 激光粒度测量的综合反演及参数选择[J]. 光学精密工程, 2009,17(9):2120-2127 DOI：

A Hybrid Inversion Algorithm Applied in Laser Scattering Particle Size[J]. Optics and precision engineering, 2009, 17(9): 2120-2127. DOI：

摘要

本论文提出了一种应用于激光粒度测量的无模式综合反演算法，即，二阶段迭法算法。该算法综合采用了改进共轭梯度法和松弛迭代法各自的优点，使用了共轭梯度法作为第一步预迭代，利用其快速收敛性和解的平滑性得到第二步迭代的初始解，而后，采用了改进的松弛迭代法对第一步的初始解进行改进。使用该方法能使解在稳定性和准确性方面得到了一定程度的改进。对算法进行了分块操作，并对所有模块如共轭迭代法，正则化法，松弛迭代法进行分析，指出模块的可行性与必要性，同时进行参数的最优化选择。

Abstract

A hybrid algorithm

which combined the characteristics of the conjugate gradient iteration

regularization and Successive Over Relaxation technique(SOR)

is proposed. The process of convergence can be speeded up and the smoothness of the solution can be enhanced by means of the conjugate gradient iteration as the pre-iteration of next SOR iteration. The solution obtained from the first step treatment is used as the initial solution for the second step. The two-segment method can achieve an accurate and stable final solution to this problem. This method is examined with the national standard particulate samples and the theoretical noisy signal. The results show good properties and is able to distinguish multi-peak particle size distribution (PSD) and robust against the noisy signal.

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Related Institution

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