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＜電子ブック＞
Computational Radiology and Imaging : Therapy and Diagnostics / edited by Christoph Börgers, Frank Natterer
(The IMA Volumes in Mathematics and its Applications. ISSN:21983224 ; 110)

版	1st ed. 1999.
出版者	(New York, NY : Springer New York : Imprint: Springer)
出版年	1999
本文言語	英語
大きさ	X, 288 p : online resource
著者標目	Börgers, Christoph editor Natterer, Frank editor SpringerLink (Online service)
件　名	LCSH:Biomathematics LCSH:Mathematical analysis FREE:Mathematical and Computational Biology FREE:Analysis
一般注記	The radiation therapy planning problem -- Mathematical models for medical imaging -- Articles by Workshop Speakers -- Tomography through the transport equation -- A general framework for iterative reconstruction algorithms in optical tomography, using a finite element method -- Scattered radiation in nuclear medicine: A case study on the Boltzmann transport equation -- Mathematical aspects of radiation therapy treatment planning: Continuous inversion versus full discretization and optimization versus feasibility -- Early results on general vertex sets and truncated projections in cone-beam tomography -- Mathematical problems in microwave medical imaging -- Image reconstruction from experimental data in diffusion tomography -- The Application of the x-ray transform to 3D conformal radiotherapy -- Optimization methods for radiation therapy plans -- Fully three-dimensional reconstruction in electron microscopy The articles collected in this volume are based on lectures given at the IMA Workshop, "Computational Radiology and Imaging: Therapy and Diagnostics", March 17-21, 1997. Introductory articles by the editors have been added. The focus is on inverse problems involving electromagnetic radiation and particle beams, with applications to X-ray tomography, nuclear medicine, near-infrared imaging, microwave imaging, electron microscopy, and radiation therapy planning. Mathematical and computational tools and models which play important roles in this volume include the X-ray transform and other integral transforms, the linear Boltzmann equation and, for near-infrared imaging, its diffusion approximation, iterative methods for large linear and non-linear least-squares problems, iterative methods for linear feasibility problems, and optimization methods. The volume is intended not only for mathematical scientists and engineers working on these and related problems, but also for non-specialists. It contains much introductory expository material, and a large number of references. Many unsolved computational and mathematical problems of substantial practical importance are pointed out HTTP:URL=https://doi.org/10.1007/978-1-4612-1550-9

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