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Saturday, August 1, 2020 | History

4 edition of Discrete Tomography found in the catalog.

Discrete Tomography

Foundations, Algorithms, and Applications (Applied and Numerical Harmonic Analysis)

  • 82 Want to read
  • 15 Currently reading

Published by Birkhauser .
Written in English

    Subjects:
  • Image processing,
  • Medical imaging,
  • Imaging Systems,
  • Differential Geometry,
  • Mathematics,
  • Technology & Industrial Arts,
  • Science/Mathematics,
  • Engineering - Electrical & Electronic,
  • Computers / Computer Science,
  • Geometry - Differential,
  • Geometric tomography

  • Edition Notes

    ContributionsGabor T. Herman (Editor), Attila Kuba (Editor), John J. Benedetto (Series Editor)
    The Physical Object
    FormatHardcover
    Number of Pages479
    ID Numbers
    Open LibraryOL8074646M
    ISBN 100817641017
    ISBN 109780817641016

    Among the Bayesian algorithms there is a promising one that uses the statistical model with the Besov space prior and Haar wavelet functions. 23 Examples of successful discrete tomography. Advances in Discrete Tomography and Its Applications is a unified presentation of new methods, algorithms, and select applications that are the foundations of multidimensional image reconstruction.

    Following an introduction that reports the recent literature of the field, the book explores various mathematical and computational problems of discrete tomography including new applications. thogonal discrete X-rays. keywords:combinatorial problem, discrete tomography, binary matrix, polyomino, periodic constraint, discrete X-rays. 1 Introduction The present paper studies the possibility of determining the geometrical as-pects of a discrete physical Cited by: 2.

    Reconstruction of Binary Matrices under Adjacency Contraints; Part 2 Discrete Tomography Reconstruction Algorithms.\/span>\"@ en\/a> ; \u00A0\u00A0\u00A0\n schema:description\/a> \" \"Advances in Discrete Tomography and its Applications\" is a unified presentation of new methods, algorithms, and select applications that are the foundations of. Bounds for discrete tomography solutions. and image processing will find the book to be a useful guide and reference to state-of-the-art research, methods, and applications.


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Discrete Tomography Download PDF EPUB FB2

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 to current research, methods, and applications.4/5(1).

"This book is the first book on discrete tomography. The editors have collected very aptly papers representing all possible directions in discrete tomography. For anyone entering the area of discrete tomography [the book] is a must as it is comprehensive and covers all major aspects of this field.".

* 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 to current research, methods, and : $ Advances in Discrete Tomography and Its Applications is a unified presentation of new methods, algorithms, and select applications that are the foundations of multidimensional image reconstruction by discrete tomographic methods.

The self-contained chapters, written by leading mathematicians, engineers, and computer scientists, present cutting-edge research and results in the : Hardcover. About the Author. Artyom M. Grigoryan, Ph.D., is currently an associate professor at the Department of Electrical Engineering, University of Texas at San Antonio.

He has authored or co-authored three books, including Brief Notes in Advanced DSP: Fourier Analysis with MATLAB® () and Multidimensional Discrete Unitary Transforms: Representation: Cited by: 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 to current research.

Advances in Discrete Tomography and Its Applications is a unified presentation of new methods, algorithms, and select applications that are Discrete Tomography book foundations of multidimensional image reconstruction by discrete tomographic methods.

The self-contained chapters, written by leading mathematicians, engineers, and computer scientists, present cutting-edge research and results in the field.

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. Discrete Tomography: Foundations, Algorithms, and Applications (Applied and Numerical Harmonic Analysis) Pdf Kindle Free Download.

Free Torrent Download Discrete Tomography: Foundations, Algorithms, and Applications (Applied and Numerical Harmonic Analysis) Pdf ebook. This volume presents the proceedings of the 10th International Workshop on Combinatorial Image Analysis, held December 1–3,in Auckland, New Zealand.

Prior meetings took place in Paris (France, ), Ube (Japan, ), Washington DC (USA. 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.

Chapter 2 - Discrete Tomography of Model Sets: Reconstruction and Uniqueness By Uwe Grimm, School of Mathematics and Statistics The Open University Milton Keynes, UK, Peter Gritzmann, Zentrum Mathematik Technische Universität München Garching, Germany, Christian Huck, Fakultät für Mathematik Universität Bielefeld, Germany.

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 Manufacturer: CRC Press. Open Library is an open, editable library catalog, building towards a web page for every book ever published.

Discrete Tomography by Gabor T. Herman,Birkhäuser, Brand: Birkhäuser edition, paperback. Discrete Tomography through Distribution Theory By Fumio Hazama∗ Abstract Discrete tomography concerns with the problem of reconstruction of a function f on Zn from various sums f t+v = P x∈t+v f(x), v ∈ Z n, where t is a fixed finite subset of Zn.

In this paper we focus on the structure of the set of functions satisfying f t+v = 0 for. Kuba’s excellent book [13]. The rst part of this book deals with the founda-tions of discrete tomography. Though I shall usually cite more direct sources, I derived my understanding of the material in the current chapter through the expositions in this book.

As mentioned, the rst section will deal with binary matrices and their row and column. Geometric tomography deals with the retrieval of information about a geometric object from data concerning its projections (shadows) on planes or cross-sections by planes.

It is a geometric relative of computerized tomography, which reconstructs an image from X-rays of a human patient. 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 present cutting-edge research and results in the field. 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 Price: $ This book describes the theory and practice of iterative methods for tomographic image reconstruction and related for X-ray computed tomography were formed using iterative methods.

And even earlier than that, Muehllehner and Wetzel described an iterative method for is a “continuous-to-discrete” (C-D) mapping from the set of File Size: KB.

Request PDF | Tomography | We define tomography as the process of producing an image of a distribution (of some physical property) from estimates of its line integrals along | Find, read and.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.Discrete tomography is concerned with the reconstruction of discrete-valued functions from projections.

Historically, the field originated from several branches of mathematics like, for example, the combinatorial problem to determine binary matrices from its row and column sums (see the survey [14]).Cited by: