书目名称 | Mathematical Methods in Tomography |
副标题 | Proceedings of a Con |
编辑 | Gabor T. Herman,Alfred K. Louis,Frank Natterer |
视频video | |
丛书名称 | Lecture Notes in Mathematics |
图书封面 |  |
描述 | The conference was devoted to the discussion of present andfuturetechniques in medical imaging, including 3D x-ray CT,ultrasound anddiffraction tomography, and biomagnetic ima-ging. The mathematical models, their theoretical aspects andthe development of algorithms were treated. The proceedingscontains surveys on reconstruction in inverse obstaclescat-tering, inversion in 3D, and constrained least squares pro-blems.Research papers include besides the mentioned imagingtechniquespresentations on image reconstruction in Hilbertspaces, singular value decompositions, 3D cone beam recon-struction, diffuse tomography,regularization of ill-posedproblems, evaluation reconstruction algorithmsand applica-tions in non-medical fields.Contents: Theoretical Aspects:J.Boman: Helgason‘ s support theorem for Radon transforms-anewproof and a generalization -P.Maass: Singular value de-compositions forRadon transforms- W.R.Madych: Image recon-struction in Hilbert space -R.G.Mukhometov: A problem of in-tegral geometry for a family of rays with multiple reflec-tions -V.P.Palamodov: Inversion formulas for the three-di-mensional ray transform - Medical Imaging Techniques:V.Friedrich: Backscattered Photons |
出版日期 | Conference proceedings 1991 |
关键词 | Inverse Problems; Medical; Radon Transform; Tomography; algorithms; computed tomography (CT); optimization |
版次 | 1 |
doi | https://doi.org/10.1007/BFb0084502 |
isbn_softcover | 978-3-540-54970-3 |
isbn_ebook | 978-3-540-46615-4Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
issn_series | 0075-8434 |
copyright | Springer-Verlag Berlin Heidelberg 1991 |