Discrete Tomography

Discrete Tomography

Author: Gabor T. Herman

Publisher: Springer Science & Business Media

ISBN: 9781461215684

Category: Medical

Page: 479

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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 example arises in the electron microscopy of biological macromolecules, where we may assume that the object to be reconstructed is composed of ice, protein, and RNA. One can also apply electron mi croscopy to determine the presenceor absence ofatoms in crystallinestruc tures, which is again a two-valued situation.
Discrete Tomography
Language: en
Pages: 479
Authors: Gabor T. Herman, Attila Kuba
Categories: Medical
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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
Advances in Discrete Tomography and Its Applications
Language: en
Pages: 392
Authors: Gabor T. Herman, Attila Kuba
Categories: Technology & Engineering
Type: BOOK - Published: 2008-01-19 - Publisher: Springer Science & Business Media

The book provides a unified presentation of new methods, algorithms, and select applications that are the foundations of multidimensional image construction and reconstruction. The self-contained survey chapters, written by leading mathematicians, engineers, and computer scientists, present cutting-edge research and results in the field. Three main areas are covered: theoretical results,
Discrete Mathematical Problems with Medical Applications
Language: en
Pages: 219
Authors: Dingzhu Du, Panos M. Pardalos, Jie Wang
Categories: Mathematics
Type: BOOK - Published: 2000-01-01 - Publisher: American Mathematical Soc.

This volume presents selected papers from a three-day workshop held during the DIMACS special years on Mathematical Support for Molecular Biology. Participants from the world over attended, giving the workshop an important international component. The study of discrete mathematics and optimization with medical applications is emerging as an important new
Discrete Geometry for Computer Imagery
Language: en
Pages: 526
Authors: Isabelle Debled-Rennesson, Eric Domenjoud, Bertrand Kerautret, Philippe Even
Categories: Computers
Type: BOOK - Published: 2011-03-29 - Publisher: Springer

This book constitutes the refereed proceedings of the 16th IAPR International Conference on Discrete Geometry for Computer Imagery, DGCI 2011, held in Nancy, France, in April 2011. The 20 revised full papers and 20 revised poster papers presented together with 3 invited lectures were carefully reviewed and selected from numerous
Discrete Geometry for Computer Imagery
Language: en
Pages: 423
Authors: Elena Barcucci, Andrea Frosini, Simone Rinaldi
Categories: Computers
Type: BOOK - Published: 2014-09-03 - Publisher: Springer

This book constitutes the thoroughly refereed proceedings of the 18th International Conference on Discrete Geometry for Computer Imagery, DGCI 2014, held in Siena, Italy, September 2014. The 34 revised full papers presented were carefully selected from 60 submissions. The papers are organized in topical sections on Models for Discrete Geometry,