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Titlebook: Discrete Tomography; Foundations, Algorit Gabor T. Herman,Attila Kuba Book 1999 Springer Science+Business Media New York 1999 3-D torus.bay

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发表于 2025-3-21 17:49:02 | 显示全部楼层 |阅读模式
书目名称Discrete Tomography
副标题Foundations, Algorit
编辑Gabor T. Herman,Attila Kuba
视频video
丛书名称Applied and Numerical Harmonic Analysis
图书封面Titlebook: Discrete Tomography; Foundations, Algorit Gabor T. Herman,Attila Kuba Book 1999 Springer Science+Business Media New York 1999 3-D torus.bay
描述Goals of the Book Overthelast thirty yearsthere has been arevolutionindiagnostic radiology as a result oftheemergenceofcomputerized tomography (CT), which is the process of obtaining the density distribution within the human body from multiple x-ray projections. Since an enormous variety of possible density values may occur in the body, a large number of projections are necessary to ensure the accurate reconstruction oftheir distribution. There are other situations in which we desire to reconstruct an object from its projections, but in which we know that the object to be recon­ structed has only a small number of possible values. For example, a large fraction of objects scanned in industrial CT (for the purpose of nonde­ structive testing or reverse engineering) are made of a single material and so the ideal reconstruction should contain only two values: zero for air and the value associated with the material composing the object. Similar as­ sumptions may even be made for some specific medical applications; for example, in angiography ofthe heart chambers the value is either zero (in­ dicating the absence of dye) or the value associated with the dye in the chamber. Another exampl
出版日期Book 1999
关键词3-D torus; bayesian methods; binary tomography; computer imaging; diffuse planar tomography; discrete ima
版次1
doihttps://doi.org/10.1007/978-1-4612-1568-4
isbn_softcover978-1-4612-7196-3
isbn_ebook978-1-4612-1568-4Series ISSN 2296-5009 Series E-ISSN 2296-5017
issn_series 2296-5009
copyrightSpringer Science+Business Media New York 1999
The information of publication is updating

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Cerebral Arteriovenous Malformations,rices from their row and column sums (projections) is also considered. It is shown that this problem can be transformed into the solved problem of the reconstruction of (0,1)-matrices. In the same way as in the case of two-valued functions, necessary and sufficient conditions are given to decide the
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Chemotherapy in Cancer Treatmentumber of its discrete projections over a limited range of angles, again making extensive use of the discrete Fourier transform in doing so. We compute the object directly as a linear combination of the projections. The well-known ill-posedness of the limited-angle tomography problem manifests itself
发表于 2025-3-22 10:21:58 | 显示全部楼层
Multidisciplinary Cancer Conferences, important applications in CT-assisted engineering and manufacturing that can benefit from the techniques of discrete tomography, and discuss some of the technical challenges faced in extracting boundaries with the degree of accuracy demanded for engineering and manufacturing applications.
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Tomographic Equivalence and Switching Operationspictures on the square grid are tomographically equivalent if and only if one picture can be transformed to the other by a finite sequence of rectangular 4-switches. We present a few different versions of this theorem, describe an application, and also give a proof of the result. We then show that t
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Reconstruction of Two-Valued Functions and Matricesrices from their row and column sums (projections) is also considered. It is shown that this problem can be transformed into the solved problem of the reconstruction of (0,1)-matrices. In the same way as in the case of two-valued functions, necessary and sufficient conditions are given to decide the
发表于 2025-3-23 09:27:09 | 显示全部楼层
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