LEADER 05371nam 22006855 450 001 9910299467403321 005 20200702015013.0 010 $a94-017-8926-6 024 7 $a10.1007/978-94-017-8926-4 035 $a(CKB)2560000000149344 035 $a(EBL)1698040 035 $a(OCoLC)876858122 035 $a(SSID)ssj0001205077 035 $a(PQKBManifestationID)11668251 035 $a(PQKBTitleCode)TC0001205077 035 $a(PQKBWorkID)11191942 035 $a(PQKB)10372268 035 $a(MiAaPQ)EBC1698040 035 $a(DE-He213)978-94-017-8926-4 035 $a(PPN)178318124 035 $a(EXLCZ)992560000000149344 100 $a20140408d2014 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aSpline and Spline Wavelet Methods with Applications to Signal and Image Processing $eVolume I: Periodic Splines /$fby Amir Z. Averbuch, Pekka Neittaanmaki, Valery A. Zheludev 205 $a1st ed. 2014. 210 1$aDordrecht :$cSpringer Netherlands :$cImprint: Springer,$d2014. 215 $a1 online resource (514 p.) 300 $aDescription based upon print version of record. 311 $a94-017-8925-8 320 $aIncludes bibliographical references at the end of each chapters and index. 327 $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. 330 $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. 606 $aSignal processing 606 $aImage processing 606 $aSpeech processing systems 606 $aOptical data processing 606 $aComputer mathematics 606 $aSignal, Image and Speech Processing$3https://scigraph.springernature.com/ontologies/product-market-codes/T24051 606 $aComputer Imaging, Vision, Pattern Recognition and Graphics$3https://scigraph.springernature.com/ontologies/product-market-codes/I22005 606 $aComputational Mathematics and Numerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M1400X 615 0$aSignal processing. 615 0$aImage processing. 615 0$aSpeech processing systems. 615 0$aOptical data processing. 615 0$aComputer mathematics. 615 14$aSignal, Image and Speech Processing. 615 24$aComputer Imaging, Vision, Pattern Recognition and Graphics. 615 24$aComputational Mathematics and Numerical Analysis. 676 $a621.3670151142 700 $aAverbuch$b Amir Z$4aut$4http://id.loc.gov/vocabulary/relators/aut$0971983 702 $aNeittaanmaki$b Pekka$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aZheludev$b Valery A$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a9910299467403321 996 $aSpline and Spline Wavelet Methods with Applications to Signal and Image Processing$92209907 997 $aUNINA