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020 _a9789401789264
_9978-94-017-8926-4
024 7 _a10.1007/978-94-017-8926-4
_2doi
035 _ato000546565
040 _aSpringer
_cSpringer
_dRU-ToGU
050 4 _aTK5102.9
050 4 _aTA1637-1638
050 4 _aTK7882.S65
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072 7 _aTEC008000
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072 7 _aCOM073000
_2bisacsh
082 0 4 _a621.382
_223
100 1 _aAverbuch, Amir Z.
_eauthor.
_9455907
245 1 0 _aSpline and Spline Wavelet Methods with Applications to Signal and Image Processing
_helectronic resource
_bVolume I: Periodic Splines /
_cby Amir Z. Averbuch, Pekka Neittaanmaki, Valery A. Zheludev.
260 _aDordrecht :
_bSpringer Netherlands :
_bImprint: Springer,
_c2014.
300 _aXXV, 496 p. 185 illus., 128 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
505 0 _a1 Introduction: Signals and transforms -- 2 Introduction: Periodic filters and filter banks -- 3 Mixed circular convolutions and Zak transforms -- 4 Periodic polynomial splines -- 5 Polynomial smoothing splines -- 6 Calculation of splines values by subdivision -- 7 Spline algorithms for deconvolution and inversion of heat equation -- 8 Periodic spline wavelets and wavelet packets -- 9 Discrete-time periodic wavelet packets -- 10 Deconvolution by regularized matching pursuit -- 11 Block-based inversion of the heat equations -- 12 Hydro-acoustic target detection -- 13 Periodic discrete splines -- 14 Discrete periodic spline wavelets and wavelet Packets -- 15 Biorthogonal wavelet transforms -- 16 Biorthogonal wavelet transforms originating from splines -- 17 Wavelet frames generated by spline based p-filter banks -- 18 Application of periodic frames to image restoration -- Appendix: Guide to SplineSoftP -- Glossary -- Index.
520 _aThis volume provides universal methodologies accompanied by Matlab software to manipulate numerous signal and image processing applications. It is done with discrete and polynomial periodic splines. Various contributions of splines to signal and image processing from a unified perspective are presented. This presentation is based on Zak transform and on Spline Harmonic Analysis (SHA) methodology. SHA combines approximation capabilities of splines with the computational efficiency of the Fast Fourier transform. SHA reduces the design of different spline types such as splines, spline wavelets (SW), wavelet frames (SWF) and wavelet packets (SWP) and their manipulations by simple operations. Digital filters, produced by wavelets design process, give birth to subdivision schemes. Subdivision schemes enable to perform fast explicit computation of splines' values at dyadic and triadic rational points. This is used for signals and images upsampling. In addition to the design of a diverse library of splines, SW, SWP and SWF, this book describes their applications to practical problems. The applications include upsampling, image denoising, recovery from blurred images, hydro-acoustic target detection, to name a few. The SWF are utilized for image restoration that were degraded by noise, blurring and loss of significant number of pixels. The book is accompanied by a Matlab based software that demonstrates and implements all the presented algorithms. The book combines extensive theoretical exposure with detailed description of algorithms, applications and software. The Matlab software can be downloaded from http://extras.springer.com.
650 0 _aengineering.
_9224332
650 0 _aComputer vision.
_9274100
650 0 _aComputer science
_xMathematics.
_9304486
650 1 4 _aEngineering.
_9224332
650 2 4 _aSignal, Image and Speech Processing.
_9274103
650 2 4 _aComputer Imaging, Vision, Pattern Recognition and Graphics.
_9274101
650 2 4 _aComputational Mathematics and Numerical Analysis.
_9303505
700 1 _aNeittaanmäki, Pekka.
_eauthor.
_981646
700 1 _aZheludev, Valery A.
_eauthor.
_9455908
710 2 _aSpringerLink (Online service)
_9143950
773 0 _tSpringer eBooks
856 4 0 _uhttp://dx.doi.org/10.1007/978-94-017-8926-4
912 _aZDB-2-ENG
999 _c404350