Mathematical Methods in Image Reconstruction (Monographs on Mathematical Modelin

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Level
Technical
ISBN
9780898716221
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關於產品

Product Identifiers

Publisher
Society for Industrial AND Applied Mathematics
ISBN-10
0898716225
ISBN-13
9780898716221
eBay Product ID (ePID)
62269760

Product Key Features

Number of Pages
228 Pages
Publication Name
Mathematical Methods in Image Reconstruction
Language
English
Subject
Computer Graphics
Publication Year
2006
Type
Textbook
Author
Frank Wübbeling, Frank Natterer
Subject Area
Computers
Series
Mathematical Modeling and Computation Ser.
Format
Trade Paperback

Dimensions

Item Height
0.8 in
Item Weight
14.8 Oz
Item Length
9 in
Item Width
6 in

Additional Product Features

Intended Audience
Scholarly & Professional
Dewey Edition
21
Dewey Decimal
621.367
Table Of Content
Chapter 1: Introduction Chapter 2: Integral Geometry Chapter 3: Tomography Chapter 4: Stability and Resolution Chapter 5: Reconstruction Algorithms Chapter 6: Problems That Have Peculiarities Chapter 7: Nonlinear Tomography.
Synopsis
Since the advent of computerized tomography in radiology, many imaging techniques have been introduced in medicine, science, and technology. This book describes the state of the art of the mathematical theory and numerical analysis of imaging. The authors survey and provide a unified view of imaging techniques, provide the necessary mathematical background and common framework, and give a detailed analysis of the numerical algorithms. This book not only reflects the theoretical progress and the growth of the field in the last 10 years but also serves as an excellent reference. It will provide readers with a superior understanding of the mathematical principles behind imaging and will enable them to write state-of-the-art software as a result. Mathematical Methods in Image Reconstruction provides a very detailed description of two-dimensional algorithms. For three-dimensional algorithms, the authors derive exact and approximate inversion formulas for specific imaging devices and describe their algorithmic implementation (which by and large parallels the two-dimensional algorithms). Integral geometry is surveyed as far as is necessary for imaging purposes; imaging techniques based on or related to integral geometry are briefly described in the section on tomography. Some of the applications covered in the book include computerized tomography, magnetic resonance imaging, emission tomography, electron microscopy, ultrasound transmission tomography, industrial tomography, seismic tomography, impedance tomography, and NIR imaging. The authors provide the necessary mathematical background and common mathematical framework needed to understand the book. Knowledge of tomography literature from the 1980s will be useful to the reader., Describes the state of the art of the mathematical theory and numerical analysis of imaging. The authors survey and provide a unified view of imaging techniques, provide the necessary mathematical background and common framework, and give a detailed analysis of the numerical algorithms.

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