| 書(shū)目名稱(chēng) | Reconstructive Integral Geometry |
| 編輯 | Victor Palamodov |
| 視頻video | http://file.papertrans.cn/825/824261/824261.mp4 |
| 概述 | Covers a gap in the literature which was caused by the fast development in the field over the last 15-20 years.Addressed to researchers in both pure and applied mathematics |
| 叢書(shū)名稱(chēng) | Monographs in Mathematics |
| 圖書(shū)封面 |  |
| 描述 | One hundred years ago (1904) Hermann Minkowski [58] posed a problem: to re- 2 construct an even function I on the sphere 8 from knowledge of the integrals MI (C) = fc Ids over big circles C. Paul Funk found an explicit reconstruction formula for I from data of big circle integrals. Johann Radon studied a similar problem for the Eu- clidean plane and space. The interest in reconstruction problems like Minkowski- Funk‘s and Radon‘s has grown tremendously in the last four decades, stimulated by the spectrum of new modalities of image reconstruction. These are X-ray, MRI, gamma and positron radiography, ultrasound, seismic tomography, electron mi- croscopy, synthetic radar imaging and others. The physical principles of these methods are very different, however their mathematical models and solution meth- ods have very much in common. The umbrella name reconstructive integral geom- etryl is used to specify the variety of these problems and methods. The objective of this book is to present in a uniform way the scope of well- known and recent results and methods in the reconstructive integral geometry. We do not touch here the problems arising in adaptation of analytic methods to numerica |
| 出版日期 | Conference proceedings 2004 |
| 關(guān)鍵詞 | Fourier analyis; Fourier transform; Funk transformation; Image reconstruction; Integral transforms; curva |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-0348-7941-5 |
| isbn_softcover | 978-3-0348-9629-0 |
| isbn_ebook | 978-3-0348-7941-5Series ISSN 1017-0480 Series E-ISSN 2296-4886 |
| issn_series | 1017-0480 |
| copyright | Springer Basel AG 2004 |
|Archiver|手機(jī)版|小黑屋|
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