| 基于精细积分思想的反演简单迭代算法 |
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| 引用本文： | 刘李楠,殷兴辉,赵晓萌. 基于精细积分思想的反演简单迭代算法[J]. 河海大学学报(自然科学版), 2015, 43(6): 594-598 |
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| 作者姓名： | 刘李楠 殷兴辉 赵晓萌 |
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| 作者单位： | 海军蚌埠士官学校四系, 安徽 蚌埠 233012; 河海大学计算机与信息学院, 江苏 南京 210098,河海大学计算机与信息学院, 江苏 南京 210098,安徽科技学院数理与信息工程学院, 安徽 滁州 233100 |
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| 基金项目： | 安徽省级高校自然科学基金(KJ2012Z 056)；安徽科技学院青年基金(ZRC2014442) |
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| 摘 要： | 为了提高走时层析成像中反演算法的性能,采用一种基于精细积分的简单迭代算法。反演计算归结为一个简单的迭代求解过程,对过程中出现的逆矩阵求解利用精细积分思想,确保迭代收敛且能收敛到方程的真解,同时具备较高的迭代速度。检测板模型恢复测试以及实际资料反演结果表明:该方法计算过程简单,在迭代次数较少时即能得到分辨率较高的波速剖面图;与目前常用的一些方法相比,本文方法在反演图像分辨率和迭代效率上都具有一定的优势。
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| 关 键 词： | 层析成像；反演算法；简单迭代算法；奇异值分解法；共轭梯度法；精细积分；检测板 |
| 收稿时间： | 2014-12-10 |
Simple iterative inversion algorithm based on precise integration method |
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| LIU Linan,YIN Xinghui and ZHAO Xiaomeng. Simple iterative inversion algorithm based on precise integration method[J]. Journal of Hohai University (Natural Sciences ), 2015, 43(6): 594-598 |
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| Authors: | LIU Linan YIN Xinghui ZHAO Xiaomeng |
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| Affiliation: | The Fourth Department, Bengbu Naval Petty Officer Academy, Bengbu 233012, China; College of Computer and Information, Hohai University, Nanjing 210098, China,College of Computer and Information, Hohai University, Nanjing 210098, China and College of Mathematics, Physics and Information Engineering, Anhui Science and Technology University, Chuzhou 233100, China |
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| Abstract: | In order to improve the performance of the inversion algorithm for travel time tomography, a simple iterative algorithm based on the precise integration method was used. The improved algorithm could be considered a simple iterative process. The precise integration method was used to solve the inverse matrix to ensure convergence and obtain the true solution to the equation at a higher speed of iteration. The checkerboard model recovery test and real data inversion results show that the calculation process of the improved algorithm is simple, and the algorithm can obtain the velocity profile with higher resolution and fewer iterations. Compared with some commonly used methods, this algorithm has higher image resolution and greater iteration efficiency. |
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| Keywords: | tomography inversion algorithm simple iterative algorithm singular value decomposition conjugate gradient method precise integration checkerboard |
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