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Framelets and Wavelets - Bin Han

Framelets and Wavelets

Algorithms, Analysis, and Applications

(Autor)

Buch | Hardcover
XXXIII, 724 Seiten
2018 | 1st ed. 2017
Springer International Publishing (Verlag)
978-3-319-68529-8 (ISBN)
CHF 164,75 inkl. MwSt
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Marking a distinct departure from the perspectives of frame theory and discrete transforms, this book provides a comprehensive mathematical and algorithmic introduction to wavelet theory. As such, it can be used as either a textbook or reference guide.

As a textbook for graduate mathematics students and beginning researchers, it offers detailed information on the basic theory of framelets and wavelets, complemented by self-contained elementary proofs, illustrative examples/figures, and supplementary exercises.

Further, as an advanced reference guide for experienced researchers and practitioners in mathematics, physics, and engineering, the book addresses in detail a wide range of basic and advanced topics (such as multiwavelets/multiframelets in Sobolev spaces and directional framelets) in wavelet theory, together with systematic mathematical analysis, concrete algorithms, and recent developments in and applications of framelets and wavelets.

Lastly, the book can also be used to teach on or study selected special topics in approximation theory, Fourier analysis, applied harmonic analysis, functional analysis, and wavelet-based signal/image processing.

Bin Han been working in the area of applied harmonic analysis and approximation theory, in particular, on wavelets and framelets with applications since 1992. He received his PhD in mathematics at the University of Alberta in 1998 and worked as a PDF at Princeton University in 1999. Bin Han is professor of mathematics at the University of Alberta.

Preface.- Chapter 1. Discrete Framelet Transforms.- Chapter 2. Wavelet Filter Banks.- Chapter 3. Framelet Filter Banks.- Chapter 4. Analysis of Affine Systems and Dual Framelets.- Chapter 5. Analysis of Refinable Vector Functions.- Chapter 6. Framelets and Wavelets Derived from Refinable Functions.- Chapter 7. Applications of Framelets and Wavelets.- Appendix A. Basics on Fourier Analysis.- Notes and Acknowledgments.- Bibliography.- Index.

Erscheinungsdatum
Reihe/Serie Applied and Numerical Harmonic Analysis
Zusatzinfo XXXIII, 724 p. 73 illus.
Verlagsort Cham
Sprache englisch
Maße 155 x 235 mm
Gewicht 1246 g
Themenwelt Informatik Grafik / Design Digitale Bildverarbeitung
Informatik Weitere Themen CAD-Programme
Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Angewandte Mathematik
Schlagworte Applications of Mathematics • Applied mathematics • approximation order • Approximations and Expansions • cascade algorithms and subdivision schemes • Computer-Aided Design (CAD) • Computer-Aided Engineering (CAD, CAE) and Design • computer vision • Differential calculus & equations • Differential calculus & equations • discrete framalet/wavelet transform • fourier analysis • framelets and wavelets • Functional analysis & transforms • Functional analysis & transforms • Image Processing • image processing and computer vision • linear independence and stability • linear-phase moments • Mathematics • mathematics and statistics • mulitframelets and multiwavelets • multiresolution analysis • nonhomogeneous and homogeneous affine systems • orthogonal and biorthogonal wavelets • quasi-approximation operators • refinable splines • refinable structure • refinable vector functions • shift-invariant spaces • sum rules • tight and dual framelets • vanishing moments • wavelet and framelet filter banks
ISBN-10 3-319-68529-5 / 3319685295
ISBN-13 978-3-319-68529-8 / 9783319685298
Zustand Neuware
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