| 非负约束全变差正则化方法在动态光散射颗粒粒度分布反演中的应用 |
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| 引用本文： | 王田田,申晋,刘伟,孙贤明.非负约束全变差正则化方法在动态光散射颗粒粒度分布反演中的应用[J].山东理工大学学报,2012(2):29-32. |
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| 作者姓名： | 王田田 申晋 刘伟 孙贤明 |
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| 作者单位： | 山东理工大学电气与电子工程学院 |
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| 基金项目： | 国家自然科学基金资助项目(60877050) |
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| 摘 要： | 将非负约束全变差正则化方法应用于颗粒粒度分布反演,并用固定点迭代法求解所构造的非线性最优化问题.模拟结果表明,在无噪声或加入0.01的噪声的情况下,全变差正则化均能较好地反演出单峰和双峰分布.通过对150nm的标准聚苯乙烯乳胶颗粒和由60nm与200nm组成的混合颗粒的反演验证了算法的性能.
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| 关 键 词： | 动态光散射 粒度分布 全变差正则化 非负约束 |
Application of nonnegative constraint total variation regularization method to particle size distribution inversion from dynamic light scattering data |
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| WANG Tian-tian,SHEN Jin,LIU Wei,SUN Xian-ming.Application of nonnegative constraint total variation regularization method to particle size distribution inversion from dynamic light scattering data[J].Journal of Shandong University of Technology:Science and Technology,2012(2):29-32. |
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| Authors: | WANG Tian-tian SHEN Jin LIU Wei SUN Xian-ming |
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| Institution: | (School of Electrical and Electronic Engineering,Shandong University of Technology,Zibo 255091,China) |
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| Abstract: | Nonnegative constraint total variation regularization was applied to inversion of particle size distribution.The lagged diffusivity fixed point method was used to solve the constructed nonlinear optimization problem.Simulation results show that total variation regularization can obtain well unimodal and bimodal distribution in no noise or in the noise level of 0.01.Finally,we verified the performance of this algorithm by inversion of 150nm polystyrene particles,60nm and 200nm mixed particles. |
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| Keywords: | dynamic light scattering particle size distribution total variation regularization nonnegative constraint |
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