---

＜電子ブック＞
Discrete Tomography : Foundations, Algorithms, and Applications / edited by Gabor T. Herman, Attila Kuba
(Applied and Numerical Harmonic Analysis. ISSN:22965017)

版	1st ed. 1999.
出版者	Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser
出版年	1999
本文言語	英語
大きさ	XXII, 479 p : online resource
著者標目	Herman, Gabor T editor Kuba, Attila editor SpringerLink (Online service)
件　名	LCSH:Radiology LCSH:Computer vision LCSH:Signal processing LCSH:Computer science -- Mathematics  全ての件名で検索 LCSH:Discrete mathematics LCSH:Image processing -- Digital techniques  全ての件名で検索 FREE:Radiology FREE:Computer Vision FREE:Signal, Speech and Image Processing FREE:Mathematical Applications in Computer Science FREE:Discrete Mathematics in Computer Science FREE:Computer Imaging, Vision, Pattern Recognition and Graphics
一般注記	Foundations -- Discrete Tomography: A Historical Overview -- Sets of Uniqueness and Additivity in Integer Lattices -- Tomographic Equivalence and Switching Operations -- Uniqueness and Complexity in Discrete Tomography -- Reconstruction of Plane Figures from Two Projections -- Reconstruction of Two-Valued Functions and Matrices -- Reconstruction of Connected Sets from Two Projections -- Algorithms -- Binary Tomography Using Gibbs Priors -- Probabilistic Modeling of Discrete Images -- Multiscale Bayesian Methods for Discrete Tomography -- An Algebraic Solution for Discrete Tomography -- Binary Steering of Nonbinary Iterative Algorithms -- Reconstruction of Binary Images via the EM Algorithm -- Compact Object Reconstruction -- Applications -- CT-Assisted Engineering and Manufacturing -- 3D Reconstruction from Sparse Radiographic Data -- Heart Chamber Reconstruction from Biplane Angiography -- Discrete Tomography in Electron Microscopy -- Tomography on the 3D-Torus and Crystals -- A Recursive Algorithm for Diffuse Planar Tomography -- From Orthogonal Projections to Symbolic Projections The visualization, construction, and reconstruction of multidimensional images are of intense interest in science and engineering today, and discrete tomography—which deals with the special case in which the object to be reconstructed has a small number of possible values—offers some significant new analytical and computational tools. Discrete Tomography: Foundations, Algorithms, and Applications provides a critical survey of new methods, algorithms, and select applications that are the foundations of multidimensional image construction and reconstruction. The survey chapters, written by leading international authorities, are self-contained adn present the latest research and results in the field. The book covers three main areas: important theoretical results, available algorithms to utilize for reconstruction, and key applications where new results are indicative of greater utility. Following a thorough historical overview of the field, the book provides a journey through the various mathematical and computational problems of discrete tomography. This is followed by a section on numerous algorithmic techniques that can be used to achieve real reconstructions from image projections. Topics and Features: * historical overview and summary chapter * uniqueness and complexity in discrete tomography * probabilistic modeling of discrete images * binary tomography using Gibb priors * discrete tomography on the 3-D torus and crystals * binary steering * 3-D tomographic reconstruction from sparse radiographic data * symbolic projections The book is an essential resource for the latest developments and tools in discrete tomography. Professionals, researchers, and practitioners in mathematics, computer imaging, scientific visualization, computer engineering, and multidimensional image processing will find the book an authoritative guide and reference tocurrent research, methods, and applications. HTTP:URL=https://doi.org/10.1007/978-1-4612-1568-4

 類似資料