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| 超声逆散射成像问题中的截断完全最小二乘法 | |
| 引用本文： | 刘超,刘凤荣,汪元美. 超声逆散射成像问题中的截断完全最小二乘法[J]. 计算机研究与发展, 2004, 41(7): 1188-1193 |
| 作者姓名： | 刘超 刘凤荣 汪元美 |
| 作者单位： | 浙江大学生物医学工程系,杭州,310027;郑州防空兵学院,郑州,450052;郑州防空兵学院,郑州,450052;浙江大学生物医学工程系,杭州,310027 |
| 基金项目： | 国家自然科学基金项目 ( 60 0 2 72 0 3 0 ) |
| 摘 要： | 在超声逆散射成像问题中，由于要反复迭代求物体内部的全场与未知函数，使得方程组的系数矩阵与数据项均存在误差，将同时考虑系数矩阵和数据项均存在误差的截断完全最小二乘正则化方法运用于超声逆散射成像问题中．数值仿真结果显示，截断完全最小二乘法与传统的Tikhanov的正则化方法相比，可以提高数据的拟合程度，也即提高了成像的质量． |
| 关 键 词： | 超声 逆散射 成像 截断完全最小二乘 正则化 |
Application of Truncated Total Least Squares in Ultrasound Inverse Scattering Imaging |
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| LIU Chao ,,LIU Feng-Rong ,and WANG Yuan-Mei. Application of Truncated Total Least Squares in Ultrasound Inverse Scattering Imaging[J]. Journal of Computer Research and Development, 2004, 41(7): 1188-1193 | |
| Authors: | LIU Chao LIU Feng-Rong and WANG Yuan-Mei |
| Affiliation: | LIU Chao 1,2,LIU Feng-Rong 2,and WANG Yuan-Mei 1 1 |
| Abstract: | In ultrasound inverse scattering imaging,in order to improve imaging quality,the approximate total field and the unknown function should iteratively be solved. Hence,the coefficient matrices and the data of the linear equation system are both contaminated by error or noise. A truncated total least squares method is proposed,in which the error or noise in both sides of the linear equation system is considered simultaneously to solve the ultrasound inverse scattering imaging problem. Simulation results show that the truncated total least squares method can improve the goodness of fit and the quality of imaging. |
| Keywords: | ultrasound inverse scattering imaging truncated total least squares regularization |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |