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Wavelet Methods in Mathematical Analysis and Engineering.
This book gives a comprehensive overview of both the fundamentals of wavelet analysis and related tools, and of the most active recent developments towards applications. It offers a state-of-the-art in several active areas of research where wavelet ideas, or more generally multiresolution ideas have...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore :
World Scientific,
2010.
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| Colección: | Series in contemporary applied mathematics.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Preface; Contents; Jianfeng Cai, Raymond Chan, Lixin Shen, Zuowei Shen: Tight Frame Based Method for High-Resolution Image Reconstruction; Abstract; 1 High-resolution image reconstruction model; 2 Preliminaries on tight framelets; 3 Tight frame system arising from highresolution image reconstruction; 4 Algorithms; 5 Analysis of Algorithm I; 6 Numerical experiments; References; Albert Cohen: Greedy Algorithms for Adaptive Triangulations and Approximations; Abstract; 1 Introduction; 2 Best N -term approximation; 3 Adaptive triangulations; References.
- Stephane Jaffard, Patrice Abry, Stephane G. Roux, Beatrice Vedel, Herwig Wendt: The Contribution of Wavelets in Multifractal Analysis. Abstract; 1 Kolmogorov's scaling law and function spaces; 2 Pointwise regularity; 3 Lacunary Fourier series; 4 Wavelets, function spaces and Holder regularity; 5 The multifractal formalism; References; Chaochun Liu and Daoqing Dai: Wavelet Methods for Image-Based Face Recognition: A Survey; Abstract; 1 Introduction; 2 Face recognition task; 3 The structure of a Pattern Recognition System (PRS); 4 Wavelet background; 5 Preprocessing: wavelets for noise removal.
- 6 Wavelet for feature extraction7 Conclusion and discussion; References; Lihua Yang: Hilbert-Huang Transform: Its Background, Algorithms and Applications; Abstract; 1 Background: amplitude, phase and frequency; 2 Hilbert-Huang transform; 3 Some relevant questions and our recent researches; 4 Applications of Hilbert-Huang transform to pattern recognition; Acknowledgement; References.