Focusing on mathematical methods in computer tomography, Image Processing: Tensor Transform and Discrete Tomography with MATLAB (R) 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 (R)-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.
Product Identifiers
Publisher
Taylor & Francis Inc
ISBN-13
9781466509948
eBay Product ID (ePID)
117464739
Product Key Features
Author
Merughan M. Grigoryan, Artyom M. Grigoryan
Publication Name
Image Processing: Tensor Transform and Discrete Tomography with Matlab (R)
Format
Hardcover
Language
English
Subject
Computer Science
Publication Year
2012
Type
Textbook
Number of Pages
466 Pages
Dimensions
Item Height
229mm
Item Width
152mm
Item Weight
771g
Additional Product Features
Title_Author
Artyom M. Grigoryan, Merughan M. Grigoryan
Country/Region of Manufacture
United States
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