000 03660nam a22005535i 4500
001 978-1-4471-5167-8
003 DE-He213
005 20200421112051.0
007 cr nn 008mamaa
008 130718s2013 xxk| s |||| 0|eng d
020 _a9781447151678
_9978-1-4471-5167-8
024 7 _a10.1007/978-1-4471-5167-8
_2doi
050 4 _aQA403.5-404.5
072 7 _aPBKF
_2bicssc
072 7 _aMAT034000
_2bisacsh
082 0 4 _a515.2433
_223
100 1 _aAmidror, Isaac.
_eauthor.
245 1 0 _aMastering the Discrete Fourier Transform in One, Two or Several Dimensions
_h[electronic resource] :
_bPitfalls and Artifacts /
_cby Isaac Amidror.
264 1 _aLondon :
_bSpringer London :
_bImprint: Springer,
_c2013.
300 _aXII, 375 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aComputational Imaging and Vision,
_x1381-6446 ;
_v43
505 0 _aIntroduction -- 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.
520 _aThe 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. The book favours a pictorial, intuitive approach which is supported by mathematics, and the discussion is accompanied by a large number of figures and illustrative examples, some of which are visually attractive and even spectacular.   Mastering the Discrete Fourier Transform in One, Two or Several Dimensions is intended for scientists, engineers, students and any readers who wish to widen their knowledge of the DFT and its practical use. This book will also be very useful for 'naive' users from various scientific or technical disciplines who have to use the DFT for their respective applications. The prerequisite mathematical background is limited to an elementary familiarity with calculus and with the continuous and discrete Fourier theory.
650 0 _aMathematics.
650 0 _aComputer science
_xMathematics.
650 0 _aFourier analysis.
650 0 _aComputer mathematics.
650 0 _aVisualization.
650 0 _aMathematics
_xStudy and teaching.
650 1 4 _aMathematics.
650 2 4 _aFourier Analysis.
650 2 4 _aMathematical Applications in Computer Science.
650 2 4 _aVisualization.
650 2 4 _aDiscrete Mathematics in Computer Science.
650 2 4 _aMath Applications in Computer Science.
650 2 4 _aMathematics Education.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781447151661
830 0 _aComputational Imaging and Vision,
_x1381-6446 ;
_v43
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4471-5167-8
912 _aZDB-2-SCS
942 _cEBK
999 _c57172
_d57172