| 用于病态反问题求解的正则化方法算例分析 |
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| 引用本文： | 彭黎辉.用于病态反问题求解的正则化方法算例分析[J].云南民族大学学报(自然科学版),2011,20(2):79-85. |
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| 作者姓名： | 彭黎辉 |
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| 作者单位： | 清华大学,信息科学技术学院,自动化系,北京,100084 |
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| 摘 要： | 以成像技术为背景,采用算例分析的形式介绍了用于病态反问题求解的正则化方法,重点介绍了Tikhonov正则化方法及Landweber迭代方法,包括其基本原理及对应的普滤波窗函数等.
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| 关 键 词： | 反问题 病态性 正则化 Tikhonov方法 Landweber迭代 |
A Case Study of the Regularization Methods for Ill-Posed Inverse Problems |
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| PENG Li-hui.A Case Study of the Regularization Methods for Ill-Posed Inverse Problems[J].Journal of Yunnan Nationalities University:Natural Sciences Edition,2011,20(2):79-85. |
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| Authors: | PENG Li-hui |
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| Institution: | PENG Li-hui(Department of Automation,National Laboratory for Information Science and Technology,Tsinghua University,Beijing 100084,China) |
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| Abstract: | Inverse problem,as a branch of mathematics,is associated with the reversal of the cause-effect sequence and consists of finding the unknown causes of known consequences.A case study,which is based on the characterizations of the ill-posedness with inverse problems and the essence behind the regularization method for ill-posed inverse problem solving,is presented in this paper.The Tikhonov regularization method and the Landweber iteration are introduced.The spectral filters for the corresponding regularizati... |
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| Keywords: | inverse problem ill-posedness regularization Tikhonov method Landweber iteration |
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