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Author: Gabor T. Herman
Publisher: Springer Science & Business Media
ISBN: 1461215684
Category : Medical
Languages : en
Pages : 491
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Book Description
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.
Author: Gabor T. Herman
Publisher: Springer Science & Business Media
ISBN: 1461215684
Category : Medical
Languages : en
Pages : 491
Get Book Here
Book Description
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.
Author: Artyom M. Grigoryan
Publisher: CRC Press
ISBN: 1351832379
Category : Technology & Engineering
Languages : en
Pages : 468
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Book Description
Focusing on mathematical methods in computer tomography, Image Processing: Tensor Transform and Discrete Tomography with MATLAB® introduces novel approaches to help in solving the problem of image reconstruction on the Cartesian lattice. Specifically, it discusses methods of image processing along parallel rays to more quickly and accurately reconstruct images from a finite number of projections, thereby avoiding overradiation of the body during a computed tomography (CT) scan. The book presents several new ideas, concepts, and methods, many of which have not been published elsewhere. New concepts include methods of transferring the geometry of rays from the plane to the Cartesian lattice, the point map of projections, the particle and its field function, and the statistical model of averaging. The authors supply numerous examples, MATLAB®-based programs, end-of-chapter problems, and experimental results of implementation. The main approach for image reconstruction proposed by the authors differs from existing methods of back-projection, iterative reconstruction, and Fourier and Radon filtering. In this book, the authors explain how to process each projection by a system of linear equations, or linear convolutions, to calculate the corresponding part of the 2-D tensor or paired transform of the discrete image. They then describe how to calculate the inverse transform to obtain the reconstruction. The proposed models for image reconstruction from projections are simple and result in more accurate reconstructions. Introducing a new theory and methods of image reconstruction, this book provides a solid grounding for those interested in further research and in obtaining new results. It encourages readers to develop effective applications of these methods in CT.
Author: Jake K. Aggarwal
Publisher: Springer Science & Business Media
ISBN: 3642210724
Category : Computers
Languages : en
Pages : 509
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Book Description
This volume constitutes the refereed proceedings of the 14th International Workshop on Combinatorial Image Analysis, IWCIA 2011, held in Madrid, Spain, in May 2011. The 25 revised full papers and 13 poster papers presented together with 4 invited contributions were carefully reviewed and selected from 60 submissions. The papers are organized in topical sections such as combinatorial problems in the discrete plane and space related to image analysis; lattice polygons and polytopes; discrete/combinatorial geometry and topology and their use in image analysis; digital geometry of curves and surfaces; tilings and patterns; combinatorial pattern matching; image representation, segmentation, grouping, and reconstruction; methods for image compression; discrete tomography; applications of integer programming, linear programming, and computational geometry to problems of image analysis; parallel architectures and algorithms for image analysis; fuzzy and stochastic image analysis; grammars and models for image or scene analysis and recognition, cellular automata; mathematical morphology and its applications to image analysis; applications in medical imaging, biometrics, and others.
Author: Ralf Reulke
Publisher: Springer Science & Business Media
ISBN: 3540351531
Category : Computers
Languages : en
Pages : 493
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Book Description
This volume constitutes the refereed proceedings of the 11th International Workshop on Combinatorial Image Analysis, IWCIA 2006, held in Berlin, June 2006. The book presents 34 revised full papers together with two invited papers, covering topics including combinatorial image analysis; grammars and models for analysis and recognition of scenes and images; combinatorial topology and geometry for images; digital geometry of curves and surfaces; algebraic approaches to image processing, and more.
Author: Reneta P. Barneva
Publisher: Springer
ISBN: 3319071483
Category : Computers
Languages : en
Pages : 284
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Book Description
This volume constitutes the refereed proceedings of the 16th International Workshop on Combinatorial Image Analysis, IWCIA 2014, held in Brno, Czech Republic, in May 2014. The 20 revised full papers and 3 invited papers presented were carefully reviewed and selected from numerous submissions. The topics covered include discrete geometry and topology in imaging science, new results in image representation, segmentation, grouping, and reconstruction, medical image processing.
Author: Michael Baake
Publisher: Cambridge University Press
ISBN: 1108514499
Category : Mathematics
Languages : en
Pages : 408
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Book Description
Quasicrystals are non-periodic solids that were discovered in 1982 by Dan Shechtman, Nobel Prize Laureate in Chemistry 2011. The mathematics that underlies this discovery or that proceeded from it, known as the theory of Aperiodic Order, is the subject of this comprehensive multi-volume series. This second volume begins to develop the theory in more depth. A collection of leading experts, among them Robert V. Moody, cover various aspects of crystallography, generalising appropriately from the classical case to the setting of aperiodically ordered structures. A strong focus is placed upon almost periodicity, a central concept of crystallography that captures the coherent repetition of local motifs or patterns, and its close links to Fourier analysis. The book opens with a foreword by Jeffrey C. Lagarias on the wider mathematical perspective and closes with an epilogue on the emergence of quasicrystals, written by Peter Kramer, one of the founders of the field.
Author: Michael Baake
Publisher: Cambridge University Press
ISBN: 0521869927
Category : Mathematics
Languages : en
Pages : 407
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Book Description
The second volume in a series exploring the mathematics of aperiodic order. Covers various aspects of crystallography.
Author: Sanjay Ranka
Publisher: Springer
ISBN: 3642148344
Category : Computers
Languages : en
Pages : 633
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Book Description
This book constitutes the first part of the refereed proceedings of the Third International Conference, IC3 2010, held in Noida, India, in August 2010. The 23 revised full papers presented were carefully reviewed and selected from numerous submissions.
Author: Bodo Rosenhahn
Publisher: Springer
ISBN: 3319458868
Category : Computers
Languages : en
Pages : 455
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Book Description
This book constitutes the refereed proceedings of the 38th German Conference on Pattern Recognition, GCPR 2016, held in Hannover, Germany, in September 2016. The 36 revised full papers presented were carefully reviewed and selected from 85 submissions. The papers are organized in topical sections on image processing, learning, optimization, segmentation, applications, image analysis, motion and tracking.
Author: Valentin E. Brimkov
Publisher: Springer
ISBN: 3319591088
Category : Computers
Languages : en
Pages : 367
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Book Description
This book constitutes the proceedings of the 18th International Workshop on Combinatorial Image Analysis, IWCIA 2017, held in Plovdiv, Bulgaria, in June 2017. The 27 revised full papers presented were carefully reviewed and selected from 47 submissions. The workshop is organized in topical sections of theoretical foundations and theory of applications, namely: discrete geometry and topology; tilings and patterns; grammars, models and other technical tools for image analysis; image segmentation, classification; reconstruction; compression; texture analysis; bioimaging.
