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Author Amidror, Isaac, author

Title Mastering the discrete Fourier transform in one, two or several dimensions : pitfalls and artifacts / Isaac Amidror
Published London ; New York : Springer, [2013]
©2013
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Description 1 online resource (xii, 375 pages) : illustrations
Series Computational imaging and vision, 1381-6446 ; v. 43
Computational imaging and vision ; v. 43
Contents Introduction -- Background and basic notions -- Data reorganizations for the DFT and the IDFT -- True units along the axes when plotting the DFT -- Issues related to aliasing -- Issues related to leakage -- Issues related to resolution and range -- Miscellaneous issues -- Appendices
Summary The discrete Fourier transform (DFT) is an extremely useful tool that finds application in many different disciplines. However, its use requires caution. The aim of this book is to explain the DFT and its various artifacts and pitfalls and to show how to avoid these (whenever possible), or at least how to recognize them in order to avoid misinterpretations. This concentrated treatment of the DFT artifacts and pitfalls in a single volume is, indeed, new, and it makes this book a valuable source of information for the widest possible range of DFT users. Special attention is given to the one and two dimensional cases due to their particular importance, but the discussion covers the general multidimensional case, too
Analysis Mathematics
Computational complexity
Computer science
Fourier analysis
Visualization
Mathematical Applications in Computer Science
Discrete Mathematics in Computer Science
Math Applications in Computer Science
Mathematics Education
Bibliography Includes bibliographical references and index
Notes Print version record
Subject Fourier transformations.
Form Electronic book
ISBN 9781447151678 (electronic book)
1447151674 (electronic book)
1447151666
9781447151661