Wavelet Analysis On The Sphere
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Author |
: Sabrine Arfaoui |
Publisher |
: Walter de Gruyter GmbH & Co KG |
Total Pages |
: 156 |
Release |
: 2017-03-20 |
ISBN-10 |
: 9783110481884 |
ISBN-13 |
: 311048188X |
Rating |
: 4/5 (84 Downloads) |
Synopsis Wavelet Analysis on the Sphere by : Sabrine Arfaoui
The goal of this monograph is to develop the theory of wavelet harmonic analysis on the sphere. By starting with orthogonal polynomials and functional Hilbert spaces on the sphere, the foundations are laid for the study of spherical harmonics such as zonal functions. The book also discusses the construction of wavelet bases using special functions, especially Bessel, Hermite, Tchebychev, and Gegenbauer polynomials.
Author |
: Sabrine Arfaoui |
Publisher |
: Walter de Gruyter GmbH & Co KG |
Total Pages |
: 186 |
Release |
: 2017-03-20 |
ISBN-10 |
: 9783110481242 |
ISBN-13 |
: 3110481243 |
Rating |
: 4/5 (42 Downloads) |
Synopsis Wavelet Analysis on the Sphere by : Sabrine Arfaoui
The goal of this monograph is to develop the theory of wavelet harmonic analysis on the sphere. By starting with orthogonal polynomials and functional Hilbert spaces on the sphere, the foundations are laid for the study of spherical harmonics such as zonal functions. The book also discusses the construction of wavelet bases using special functions, especially Bessel, Hermite, Tchebychev, and Gegenbauer polynomials.
Author |
: Roland Klees |
Publisher |
: Springer |
Total Pages |
: 250 |
Release |
: 2014-03-12 |
ISBN-10 |
: 3662168685 |
ISBN-13 |
: 9783662168684 |
Rating |
: 4/5 (85 Downloads) |
Synopsis Wavelets in the Geosciences by : Roland Klees
This book contains state-of-the-art continuous wavelet analysis of one and more dimensional (geophysical) signals. Special attention is given to the reconaissance of specific properties of a signal. It also contains an extension of standard wavelet approximation to the application of so-called second generation wavelets for efficient representation of signals at various scales even on the sphere and more complex geometries. Furthermore, the book discusses the application of harmonic (spherical) wavelets in potential field analysis with emphasis on the gravity field of the Earth. Many examples are given for practical application of these tools; to support the text exercises and demonstrations are available on the Web.
Author |
: Michael Hayn |
Publisher |
: |
Total Pages |
: 95 |
Release |
: 2010 |
ISBN-10 |
: OCLC:706989944 |
ISBN-13 |
: |
Rating |
: 4/5 (44 Downloads) |
Synopsis Wavelt Analysis and Spline Modeling of Geophysical Data on the Sphere by : Michael Hayn
Author |
: Roland Klees |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 272 |
Release |
: 2000-03-06 |
ISBN-10 |
: 3540669515 |
ISBN-13 |
: 9783540669517 |
Rating |
: 4/5 (15 Downloads) |
Synopsis Wavelets in the Geosciences by : Roland Klees
This book contains state-of-the-art continuous wavelet analysis of one and more dimensional (geophysical) signals. Special attention is given to the reconaissance of specific properties of a signal. It also contains an extension of standard wavelet approximation to the application of so-called second generation wavelets for efficient representation of signals at various scales even on the sphere and more complex geometries. Furthermore, the book discusses the application of harmonic (spherical) wavelets in potential field analysis with emphasis on the gravity field of the Earth. Many examples are given for practical application of these tools; to support the text exercises and demonstrations are available on the Web.
Author |
: Wolfgang Keller |
Publisher |
: Walter de Gruyter |
Total Pages |
: 290 |
Release |
: 2008-08-22 |
ISBN-10 |
: 9783110198188 |
ISBN-13 |
: 3110198185 |
Rating |
: 4/5 (88 Downloads) |
Synopsis Wavelets in Geodesy and Geodynamics by : Wolfgang Keller
For many years, digital signal processing has been governed by the theory of Fourier transform and its numerical implementation. The main disadvantage of Fourier theory is the underlying assumption that the signals have time-wise or space-wise invariant statistical properties. In many applications the deviation from a stationary behavior is precisely the information to be extracted from the signals. Wavelets were developed to serve the purpose of analysing such instationary signals. The book gives an introduction to wavelet theory both in the continuous and the discrete case. After developing the theoretical fundament, typical examples of wavelet analysis in the Geosciences are presented. The book has developed from a graduate course held at The University of Calgary and is directed to graduate students who are interested in digital signal processing. The reader is assumed to have a mathematical background on the graduate level.
Author |
: Yizhi Sun |
Publisher |
: |
Total Pages |
: |
Release |
: 2020 |
ISBN-10 |
: OCLC:1220879935 |
ISBN-13 |
: |
Rating |
: 4/5 (35 Downloads) |
Synopsis Thoughts on Harmonic Analysis on the Sphere: Spherical Wavelet Frames and Kernels by : Yizhi Sun
Author |
: Tao Qian |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 567 |
Release |
: 2007-02-24 |
ISBN-10 |
: 9783764377786 |
ISBN-13 |
: 376437778X |
Rating |
: 4/5 (86 Downloads) |
Synopsis Wavelet Analysis and Applications by : Tao Qian
This volume reflects the latest developments in the area of wavelet analysis and its applications. Since the cornerstone lecture of Yves Meyer presented at the ICM 1990 in Kyoto, to some extent, wavelet analysis has often been said to be mainly an applied area. However, a significant percentage of contributions now are connected to theoretical mathematical areas, and the concept of wavelets continuously stretches across various disciplines of mathematics. Key topics: Approximation and Fourier Analysis Construction of Wavelets and Frame Theory Fractal and Multifractal Theory Wavelets in Numerical Analysis Time-Frequency Analysis Adaptive Representation of Nonlinear and Non-stationary Signals Applications, particularly in image processing Through the broad spectrum, ranging from pure and applied mathematics to real applications, the book will be most useful for researchers, engineers and developers alike.
Author |
: Sabrine Arfaoui |
Publisher |
: CRC Press |
Total Pages |
: 255 |
Release |
: 2021-04-20 |
ISBN-10 |
: 9781000369540 |
ISBN-13 |
: 1000369544 |
Rating |
: 4/5 (40 Downloads) |
Synopsis Wavelet Analysis by : Sabrine Arfaoui
Wavelet Analysis: Basic Concepts and Applications provides a basic and self-contained introduction to the ideas underpinning wavelet theory and its diverse applications. This book is suitable for master’s or PhD students, senior researchers, or scientists working in industrial settings, where wavelets are used to model real-world phenomena and data needs (such as finance, medicine, engineering, transport, images, signals, etc.). Features: Offers a self-contained discussion of wavelet theory Suitable for a wide audience of post-graduate students, researchers, practitioners, and theorists Provides researchers with detailed proofs Provides guides for readers to help them understand and practice wavelet analysis in different areas
Author |
: David F. Walnut |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 453 |
Release |
: 2013-12-11 |
ISBN-10 |
: 9781461200017 |
ISBN-13 |
: 1461200016 |
Rating |
: 4/5 (17 Downloads) |
Synopsis An Introduction to Wavelet Analysis by : David F. Walnut
This book provides a comprehensive presentation of the conceptual basis of wavelet analysis, including the construction and analysis of wavelet bases. It motivates the central ideas of wavelet theory by offering a detailed exposition of the Haar series, then shows how a more abstract approach allows readers to generalize and improve upon the Haar series. It then presents a number of variations and extensions of Haar construction.