LEADER 05174nam 22006735 450 001 9910254182503321 005 20220325233530.0 010 $a3-319-22303-8 024 7 $a10.1007/978-3-319-22303-2 035 $a(CKB)3710000000467436 035 $a(EBL)4178474 035 $a(SSID)ssj0001546919 035 $a(PQKBManifestationID)16141572 035 $a(PQKBTitleCode)TC0001546919 035 $a(PQKBWorkID)14795983 035 $a(PQKB)11529929 035 $a(DE-He213)978-3-319-22303-2 035 $a(MiAaPQ)EBC4178474 035 $a(PPN)188458034 035 $a(EXLCZ)993710000000467436 100 $a20150827d2016 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 $evolume II: non-periodic splines /$fby Amir Z. Averbuch, Pekka Neittaanmäki, Valery A. Zheludev 205 $a1st ed. 2016. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2016. 215 $a1 online resource (441 p.) 300 $aDescription based upon print version of record. 311 $a3-319-22302-X 320 $aIncludes bibliographical references at the end of each chapters and index. 327 $aPreface.-1 Introduction: Signals and Transforms -- 2 Introduction: Digital Filters and Filter Banks -- 3 Mixed Convolutions and Zak Transforms -- 4 Non-Periodic Polynomial Splines -- 5 Quasi-Interpolating and Smoothing Local Splines -- 6 Cubic Local Splines on Non-Uniform Grid -- 7 Splines Computation by Subdivision -- 8 Polynomial Spline-Wavelets -- 9 Non-Periodic Discrete Splines -- 10 Non-Periodic Discrete-Spline Wavelets -- 11 Biorthogonal Wavelet Transforms -- 12 Biorthogonal Wavelet Transforms Originating from Splines -- 13 Data Compression Using Wavelet and Local Cosine Transforms -- 14 Wavelet Frames Generated by Perfect Reconstruction Filter Banks -- 15 Biorthogonal Multiwavelets Originated from Hermite Splines -- 16 Multiwavelet Frames Originated from Hermite Splines -- Appendix A - Guide to Spline SoftN -- Glossary -- Index. 330 $aThis book presents various contributions of splines to signal and image processing from a unified perspective that is based on the Zak transform (ZT). It expands the methodology from periodic splines, which were presented in the first volume, to non-periodic splines. Together, these books provide a universal toolbox accompanied by MATLAB software for manipulating polynomial and discrete splines, spline-based wavelets, wavelet packets and wavelet frames for signal/ image processing applications. In this volume, we see that the ZT provides an integral representation of discrete and polynomial splines, which, to some extent, is similar to Fourier integral. The authors explore elements of spline theory and design, and consider different types of polynomial and discrete splines. They describe applications of spline-based wavelets to data compression. These splines are useful for real-time signal processing and, in particular, real-time wavelet and frame transforms. Further topics addressed in this volume include: "global" splines, such as interpolating, self-dual and smoothing, whose supports are infinite; the compactly supported quasi-interpolating and smoothing splines including quasi-interpolating splines on non-uniform grids; and cubic Hermite splines as a source for the design of multiwavelets and multiwavelet frames. Readers from various disciplines including engineering, computer science and mathematical information technology will find the descriptions of algorithms, applications and software in this book especially useful. 606 $aSignal processing 606 $aImage processing 606 $aSpeech processing systems 606 $aOptical data processing 606 $aComputer science$xMathematics 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 science$xMathematics. 615 14$aSignal, Image and Speech Processing. 615 24$aComputer Imaging, Vision, Pattern Recognition and Graphics. 615 24$aComputational Mathematics and Numerical Analysis. 676 $a620 700 $aAverbuch$b Amir Z$4aut$4http://id.loc.gov/vocabulary/relators/aut$0971983 702 $aNeittaanmäki$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 $a9910254182503321 996 $aSpline and Spline Wavelet Methods with Applications to Signal and Image Processing$92209907 997 $aUNINA