東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Spline and spline wavelet methods wi...

Averbuch, Amir Z.

Linked to FindBook

Google Book

Amazon

博客來

Spline and spline wavelet methods with applications to signal and image processing.. Volume II,. Non-periodic splines

Record Type:	Electronic resources : Monograph/item
Title/Author:	Spline and spline wavelet methods with applications to signal and image processing./ by Amir Z. Averbuch, Pekka Neittaanmaki, Valery A. Zheludev.
remainder title:	Non-periodic splines
Author:	Averbuch, Amir Z.
other author:	Neittaanmaki, Pekka.
Published:	Cham :Springer International Publishing : : 2016.,
Description:	xxv, 426 p. :ill., digital ;24 cm.
[NT 15003449]:	Preface -- 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.
Contained By:	Springer eBooks
Subject:	Spline theory. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-22303-2
ISBN:	9783319223032$q(electronic bk.)

Spline and spline wavelet methods with applications to signal and image processing.. Volume II,. Non-periodic splines
Averbuch, Amir Z.

Spline and spline wavelet methods with applications to signal and image processing.Volume II,Non-periodic splines[electronic resource] /Non-periodic splinesby Amir Z. Averbuch, Pekka Neittaanmaki, Valery A. Zheludev. - Cham :Springer International Publishing :2016. - xxv, 426 p. :ill., digital ;24 cm.

Preface -- 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.

This 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.

ISBN: 9783319223032$q(electronic bk.)

Standard No.: 10.1007/978-3-319-22303-2doiSubjects--Topical Terms:

622233
Spline theory.

LC Class. No.: QA224

Dewey Class. No.: 511.4223

Spline and spline wavelet methods with applications to signal and image processing.. Volume II,. Non-periodic splines
LDR:03524nmm a2200349 a 4500 001 2028624
003 DE-He213
005 20160715141124.0
006 m d
007 cr nn 008maaau
008 160908s2016 gw s 0 eng d
020 $a 9783319223032$q(electronic bk.)
020 $a 9783319223025$q(paper)
024 7 $a 10.1007/978-3-319-22303-2 $2 doi
035 $a 978-3-319-22303-2
040 $a GP $c GP
041 0 $a eng
050 4 $a QA224
072 7 $a TTBM $2 bicssc
072 7 $a UYS $2 bicssc
072 7 $a TEC008000 $2 bisacsh
072 7 $a COM073000 $2 bisacsh
082 0 4 $a 511.4223 $2 23
090 $a QA224 $b .A952 2016
100 1 $a Averbuch, Amir Z. $3 2062824
245 1 0 $a Spline and spline wavelet methods with applications to signal and image processing. $n Volume II, $p Non-periodic splines $h [electronic resource] / $c by Amir Z. Averbuch, Pekka Neittaanmaki, Valery A. Zheludev.
246 3 0 $a Non-periodic splines
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2016.
300 $a xxv, 426 p. : $b ill., digital ; $c 24 cm.
505 0 $a Preface -- 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.
520 $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) 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.
650 0 $a Spline theory. $3 622233
650 0 $a Wavelets (Mathematics) $3 532597
650 1 4 $a Engineering. $3 586835
650 2 4 $a Signal, Image and Speech Processing. $3 891073
650 2 4 $a Computer Imaging, Vision, Pattern Recognition and Graphics. $3 890871
650 2 4 $a Computational Mathematics and Numerical Analysis. $3 891040
700 1 $a Neittaanmaki, Pekka. $3 907407
700 1 $a Zheludev, Valery A. $3 2062825
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-22303-2
950 $a Engineering (Springer-11647)