Spline and spline wavelet methods with applications to signal and image processing. Volume II, Non-periodic splines /
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| Author / Creator: | Averbuch, Amir, 1947- author. |
|---|---|
| Imprint: | Cham : Springer, [2015] ©2016 |
| Description: | 1 online resource |
| Language: | English |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11247903 |
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| 100 | 1 | |a Averbuch, Amir, |d 1947- |e author. |0 http://id.loc.gov/authorities/names/n88668014 | |
| 245 | 1 | 0 | |a Spline and spline wavelet methods with applications to signal and image processing. |n Volume II, |p Non-periodic splines / |c Amir Z. Averbuch, Pekka Neittaanmäki, Valery A. Zheludev. |
| 246 | 3 | 0 | |a Non-periodic splines |
| 264 | 1 | |a Cham : |b Springer, |c [2015] | |
| 264 | 4 | |c ©2016 | |
| 300 | |a 1 online resource | ||
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| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Online resource; title from PDF title page (SpringerLink, viewed September 2, 2015). | |
| 505 | 0 | |a Preface1 Introduction: Signals and Transforms2 Introduction: Digital Filters and Filter Banks3 Mixed Convolutions and Zak Transforms4 Non-Periodic Polynomial Splines5 Quasi-Interpolating and Smoothing Local Splines6 Cubic Local Splines on Non-Uniform Grid7 Splines Computation by Subdivision8 Polynomial Spline-Wavelets9 Non-Periodic Discrete Splines10 Non-Periodic Discrete-Spline Wavelets11 Biorthogonal Wavelet Transforms12 Biorthogonal Wavelet Transforms Originating from Splines13 Data Compression Using Wavelet and Local Cosine Transforms14 Wavelet Frames Generated by Perfect Reconstruction Filter Banks15 Biorthogonal Multiwavelets Originated from Hermite Splines16 Multiwavelet Frames Originated from Hermite SplinesAppendix A -- Guide to Spline SoftNGlossaryIndex. | |
| 520 | 3 | |a This book presents various contributions of splines to signal and image processing from a unified perspective that is based on the Zak transform (ZT). | |
| 520 | 3 | |a It expands the methodology from periodic splines, which were presented in the first volume, to non-periodic splines. | |
| 520 | 3 | |a 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. | |
| 520 | 3 | |a 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. | |
| 520 | 3 | |a The authors explore elements of spline theory and design, and consider different types of polynomial and discrete splines. | |
| 520 | 3 | |a They describe applications of spline-based wavelets to data compression. | |
| 520 | 3 | |a These splines are useful for real-time signal processing and, in particular, real-time wavelet and frame transforms. | |
| 520 | 3 | |a 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. | |
| 520 | 3 | |a 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. | |
| 650 | 0 | |a Spline theory. |0 http://id.loc.gov/authorities/subjects/sh85126830 | |
| 650 | 0 | |a Wavelets (Mathematics) |0 http://id.loc.gov/authorities/subjects/sh91006163 | |
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| 650 | 7 | |a Spline theory. |2 fast |0 (OCoLC)fst01130287 | |
| 650 | 7 | |a Wavelets (Mathematics) |2 fast |0 (OCoLC)fst01172896 | |
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| 700 | 1 | |a Neittaanmäki, P. |q (Pekka), |e author. |0 http://id.loc.gov/authorities/names/n83149130 | |
| 700 | 1 | |a Zheludev, Valery A., |e author. |0 http://id.loc.gov/authorities/names/nb2014013123 | |
| 776 | 0 | 8 | |i Print version: |a Averbuch, Amir, 1947- |t Spline and spline wavelet methods with applications to signal and image processing. Volume II, Non-periodic splines. |d Cham : Springer, [2015] |z 331922302X |z 9783319223025 |w (OCoLC)913557132 |
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