Wavelets and wavelet packets provide a theory analogous to Fourier analysis and tools analogous to coherent state methods. Among their numerous applications, wavelets have been used to data compression in both image and sound processing. They are intimately related to splines, and wavelet applications in spline theory are significant. Wavelets have become a tool in analyzing fractals and iterative schemes associated with dynamical systems. Signal processing methods such as quadrature mirror filters go hand in hand with wavelet techniques in studying a host of communcations problems. The profound issues of classical turbulence are being studied using wavelet packets. Both wavelet packet software and wavelet transform microchips are now available. There are also applications of wavelet theory in theoretical physics, oil exploration, irregular sampling, and singular integral operators. Many of the world's experts in the field of wavelets were principal speakers at the ASI, and their papers appear in this volume. Furthermore, these renowned scientists addressed their talks to an audience which consisted of a broad spectrum of pure and applied mathematicians, as well as a diverse group of engineers and scientists. Thus, the reader has the opportunity to both learn or reinforce the fundamental concepts from the individuals who have created and developed the blossoming field of wavelets, and to see them discuss in accessible terms their profound contributions and ideas for future research.
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Inside This Book
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First Sentence:
We shall take an excursion back to the future. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
approximate orthonormal basis, neural wavelets, cortical linking neural network models, subordinated taxon, continuous scaling function, wavelet auditory model, neural holograms, spectrogram case, wavelet packet coefficients, joint spectral radius, computational neuroanatomy, invariance subspaces, bilinear distributions, radar ambiguity functions, quantum holography, radial scaling, dyadic tree, approximate frames, dilation equations, homogeneous tree, filter coupling, circular approximation, admissible condition, dyadic cubes, wavelet expansions Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Kluwer Academic Publishers, Cascade Algorithm, Technical Report, Academic Press, Pure Appl, Yves Meyer, Pattern Anal, Functional Analysis, Yale University, Optical Eng, Acta Math, Applied Math, Machine Intel, Pitman Research Notes, Princeton University Press, Advanced Study Institute, Annals of Mathematics, Cambridge University Press, Prometheus Inc, Using Theorem New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
We shall take an excursion back to the future. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
approximate orthonormal basis, neural wavelets, cortical linking neural network models, subordinated taxon, continuous scaling function, wavelet auditory model, neural holograms, spectrogram case, wavelet packet coefficients, joint spectral radius, computational neuroanatomy, invariance subspaces, bilinear distributions, radar ambiguity functions, quantum holography, radial scaling, dyadic tree, approximate frames, dilation equations, homogeneous tree, filter coupling, circular approximation, admissible condition, dyadic cubes, wavelet expansions Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Kluwer Academic Publishers, Cascade Algorithm, Technical Report, Academic Press, Pure Appl, Yves Meyer, Pattern Anal, Functional Analysis, Yale University, Optical Eng, Acta Math, Applied Math, Machine Intel, Pitman Research Notes, Princeton University Press, Advanced Study Institute, Annals of Mathematics, Cambridge University Press, Prometheus Inc, Using Theorem New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 30
books:
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9
books
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- Ten Lectures on Wavelets (CBMS-NSF Regional Conference Series in Applied Mathematics) by Ingrid Daubechies on page 16, page 7 (1), and page 7 (2)
- Wavelets Mathematics and Applications (Studies in Advanced Mathematics) by John Benedetto on page 16, and page 7
- Wavelets, Volume 2: A Tutorial in Theory and Applications (Wavelet Analysis and Its Applications) by Charles K. Chui on page 7, and page 249
- Perspectives in Quantum Theory: Essays in Honor of Alfred Landé by Wolfgang Yourgrau on page 181
- Recent Advances in Fourier Analysis and its Applications (NATO Science Series C: (closed)) by J.S. Byrnes on page 7
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- Hierarchical Neural Networks for Image Interpretation (Lecture Notes in Computer Science) by Sven Behnke in Back Matter
- Wavelets Mathematics and Applications (Studies in Advanced Mathematics) by John Benedetto on page 301
- Reviews in Computational Chemistry, Reviews in Computational Chemistry (Volume 22) by Kenny B. Lipkowitz on page 321
- Essential Wavelets for Statistical Applications and Data Analysis by Todd Ogden in Back Matter
- Handbook of Computational Methods for Integration by Prem K. Kythe in Back Matter
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