Application of regularizing Kaczmarz algorithm in shale Nano-CT reconstruction
文献类型：期刊论文
| 作者 | Tang Wei1,2,3; Wang YanFei1,2,3 |
| 刊名 | CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION
 |
| 出版日期 | 2018-11-01 |
| 卷号 | 61期号:11页码:4598-4612 |
| 关键词 | X-Ray computerized tomography CT reconstruction Phase retrieval Tikhonov regularization |
| ISSN号 | 0001-5733 |
| DOI | 10.6038/cjg2018L0679 |
| 英文摘要 | X-Ray computerized tomography (CT) is a non-destructive and effective method to study the size, shape, 3D pore structures and interconnections of pores in shale. The main methods of CT reconstruction are FBP (Filtered Back Projection), ART (Algebraic Reconstruction Technique) and methods based on statistic models. FBP is most widely used in industry. The results obtained by this method contains artifact which is difficult to remove. Kaczmarz method, which has explicit geometric meaning, is one kind of ART methods. This method project the solution to the hyperplanes determined by the rows of matrix in a fixed order. Obviously the convergence rate depends on the order of the matrix's row, and it is no so efficient. If we project the solution in each step to the center of the projection points from different hyperplanes, which is known as block projection, we can improve the efficiency of computing greatly. Because the coefficient matrix is highly sparse and the observations are not only incomplete but also contaminated, the problem is not well-posed in the sense of Hadamard. Regularization method is an effective method to solve ill-posed problem. Many forms of regularization methods can be used to solve this problem. We transform the regularized normal equation to the equivalent augmented regularized normal system of equations to solve large dimensionality ill-posed problem. At the same time, we can find some constrains when we deal with the real problem like the absorption of pixels around the sample should equal to zero, the absorption of pixels should not be negative and so on. If we add these kind of constrains, we will get a better result. Our proposed data-constrained regularized Kaczmarz algorithm can perform better than the FBP methods and other projection methods in the numerical test and practical data test, hence the new method is promising for the future practical data processing. |
| WOS关键词 | IMAGE-RECONSTRUCTION |
| WOS研究方向 | Geochemistry & Geophysics |
| 语种 | 英语 |
| WOS记录号 | WOS:000450699100023 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.iggcas.ac.cn/handle/132A11/89618]  |
| 专题 | 地质与地球物理研究所_中国科学院油气资源研究重点实验室 |
| 通讯作者 | Wang YanFei |
| 作者单位 | 1.Chinese Acad Sci, Inst Geol & Geophys, Key Lab Petr Resources Res, Beijing 100029, Peoples R China 2.Chinese Acad Sci, Inst Earth Sci, Beijing 100029, Peoples R China 3.Univ Chinese Acad Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Tang Wei,Wang YanFei. Application of regularizing Kaczmarz algorithm in shale Nano-CT reconstruction[J]. CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION,2018,61(11):4598-4612. |
| APA | Tang Wei,&Wang YanFei.(2018).Application of regularizing Kaczmarz algorithm in shale Nano-CT reconstruction.CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION,61(11),4598-4612. |
| MLA | Tang Wei,et al."Application of regularizing Kaczmarz algorithm in shale Nano-CT reconstruction".CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION 61.11(2018):4598-4612. |
入库方式： OAI收割
来源：地质与地球物理研究所
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