LEADER 03467nam 2200565Ia 450 001 9910741153703321 005 20250609111425.0 010 $a9781447151678 010 $a1447151674 024 7 $a10.1007/978-1-4471-5167-8 035 $a(OCoLC)854599812 035 $a(MiFhGG)GVRL6WMN 035 $a(CKB)2670000000530442 035 $a(MiAaPQ)EBC1398374 035 $a(MiFhGG)9781447151678 035 $a(MiAaPQ)EBC4071911 035 $a(EXLCZ)992670000000530442 100 $a20130603d2013 uy 0 101 0 $aeng 135 $aurun|---uuuua 181 $ctxt 182 $cc 183 $acr 200 10$aMastering the discrete Fourier transform in one, two or several dimensions $epitfalls and artifacts /$fIsaac Amidror 205 $a1st ed. 2013. 210 $aLondon ;$aNew York $cSpringer$dc2013 215 $a1 online resource (xii, 375 pages) $cillustrations 225 0 $aComputational imaging and vision ;$vv. 43 300 $a"ISSN: 1381-6446." 311 08$a9781447151661 311 08$a1447151666 311 08$a9781447161318 311 08$a1447161319 320 $aIncludes bibliographical references and index. 327 $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. 330 $aThe discrete Fourier transform (DFT) is an extremely useful tool that finds application in many different disciplines. However, its use requires caution. The aim of this book is to explain the DFT and its various artifacts and pitfalls and to show how to avoid these (whenever possible), or at least how to recognize them in order to avoid misinterpretations. This concentrated treatment of the DFT artifacts and pitfalls in a single volume is, indeed, new, and it makes this book a valuable source of information for the widest possible range of DFT users. Special attention is given to the one and two dimensional cases due to their particular importance, but the discussion covers the general multidimensional case, too. The book favours a pictorial, intuitive approach which is supported by mathematics, and the discussion is accompanied by a large number of figures and illustrative examples, some of which are visually attractive and even spectacular.   Mastering the Discrete Fourier Transform in One, Two or Several Dimensions is intended for scientists, engineers, students and any readers who wish to widen their knowledge of the DFT and its practical use. This book will also be very useful for ?naive? users from various scientific or technical disciplines who have to use the DFT for their respective applications. The prerequisite mathematical background is limited to an elementary familiarity with calculus and with the continuous and discrete Fourier theory. 410 0$aComputational imaging and vision ;$vvolume 43. 606 $aFourier transformations 606 $aFourier analysis 615 0$aFourier transformations. 615 0$aFourier analysis. 676 $a515.723 700 $aAmidror$b Isaac$0537214 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910741153703321 996 $aMastering the discrete Fourier transform in one, two or several dimensions$93554538 997 $aUNINA