| 书目名称 | The Method of Approximate Inverse: Theory and Applications |
| 编辑 | Thomas Schuster |
| 视频video | |
| 概述 | Includes supplementary material: |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | .Inverse problems arise whenever one tries to calculate a required quantity from given measurements of a second quantity that is associated to the first one. Besides medical imaging and non-destructive testing, inverse problems also play an increasing role in other disciplines such as industrial and financial mathematics. Hence, there is a need for stable and efficient solvers. The book is concerned with the method of approximate inverse which is a regularization technique for stably solving inverse problems in various settings such as L.2.-spaces, Hilbert spaces or spaces of distributions. The performance and functionality of the method is demonstrated on several examples from medical imaging and non-destructive testing such as computerized tomography, Doppler tomography, SONAR, X-ray diffractometry and thermoacoustic computerized tomography. The book addresses graduate students and researchers interested in the numerical analysis of inverse problems and regularization techniques or in efficient solvers for the applications mentioned above.. |
| 出版日期 | Book 2007 |
| 关键词 | Doppler tomography; Inverse problem; approximate inverse; numerical analysis; reconstruction kernel; regu |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-540-71227-5 |
| isbn_softcover | 978-3-540-71226-8 |
| isbn_ebook | 978-3-540-71227-5Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer-Verlag Berlin Heidelberg 2007 |
发表于 2025-3-21 18:39:59
