| 书目名称 | Reconstructive Integral Geometry |
| 编辑 | Victor Palamodov |
| 视频video | |
| 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 |
| 丛书名称 | Monographs in Mathematics |
| 图书封面 |  |
| 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 |
| 关键词 | 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 |
发表于 2025-3-21 17:15:39
