TY - BOOK AU - Amidror,Isaac TI - Mastering the discrete fourier transform in one, two or several dimensions: pitfalls and artifacts T2 - Computational imaging and vision SN - 9781447151661 U1 - 515.723 23 PY - 2013/// CY - London PB - Springer-Verlag KW - Fourier transformations. KW - MATHEMATICS / Functional Analysis. KW - Mathematics N1 - Includes bibliographical references and index; 1. Introduction -- 2. Background and basic notions -- 3. Data reorganizations for the DFT and the IDFT -- 4. True units along the axes when plotting the DFT -- 5. Issues related to aliasing -- 6. Issues related to leakage -- 7. Issues related to resolution and range -- 8. Miscellaneous issues -- Appendices-- References-- Index N2 - 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 ER -