Wavelet Analysis and Applications [With CDROM] (Hardcover, 2007)

Wavelet Theory.- Local Smoothness Conditions on a Function Which Guarantee Convergence of Double Walsh-Fourier Series of This Function.- Linear Transformations of ?N and Problems of Convergence of Fourier Series of Functions Which Equal Zero on Some Set.- Sidon Type Inequalities for Wavelets.- Almansi Decomposition for Dunkl-Helmholtz Operators.- An Uncertainty Principle for Operators.- Uncertainty Principle for Clifford Geometric Algebras Cl n,0, n = 3 (mod 4) Based on Clifford Fourier Transform.- Orthogonal Wavelet Vectors in a Hilbert Space.- Operator Frames for .- On the Stability of Multi-wavelet Frames.- Biorthogonal Wavelets Associated with Two-Dimensional Interpolatory Function.- Parameterization of Orthogonal Filter Bank with Linear Phase.- On Multivariate Wavelets with Trigonometric Vanishing Moments.- Directional Wavelet Analysis with Fourier-Type Bases for Image Processing.- Unitary Systems and Wavelet Sets.- Clifford Analysis and the Continuous Spherical Wavelet Transform.- Clifford-Jacobi Polynomials and the Associated Continuous Wavelet Transform in Euclidean Space.- Wavelet Leaders in Multifractal Analysis.- Application of Fast Wavelet Transformation in Parametric System Identification.- Image Denoising by a Novel Digital Curvelet Reconstruction Algorithm.- Condition Number for Under-Determined Toeplitz Systems.- Powell-Sabin Spline Prewavelets on the Hexagonal Lattice.- Time-Frequency Aspects of Nonlinear Fourier Atoms.- Mono-components for Signal Decomposition.- Signal-Adaptive Aeroelastic Flight Data Analysis with HHT.- An Adaptive Data Analysis Method for Nonlinear and Nonstationary Time Series: The Empirical Mode Decomposition and Hilbert Spectral Analysis.- Wavelet Applications.- Transfer Colors from CVHD to MRI Based on Wavelets Transform.- Medical Image Fusion by Multi-resolution Analysis of Wavelets Transform.- Salient Building Detection from a Single Nature Image via Wavelet Decomposition.- SAR Images Despeckling via Bayesian Fuzzy Shrinkage Based on Stationary Wavelet Transform.- Super-Resolution Reconstruction Using Haar Wavelet Estimation.- The Design of Hilbert Transform Pairs in Dual-Tree Complex Wavelet Transform.- Supervised Learning Using Characteristic Generalized Gaussian Density and Its Application to Chinese Materia Medica Identification.- A Novel Algorithm of Singular Points Detection for Fingerprint Images.- Wavelet Receiver: A New Receiver Scheme for Doubly-Selective Channels.- Face Retrieval with Relevance Feedback Using Lifting Wavelets Features.- High-Resolution Image Reconstruction Using Wavelet Lifting Scheme.- Mulitiresolution Spatial Data Compression Using Lifting Scheme.- Ridgelet Transform as a Feature Extraction Method in Remote Sensing Image Recognition.- Analysis of Frequency Spectrum for Geometric Modeling in Digital Geometry.- Detection of Spindles in Sleep EEGs Using a Novel Algorithm Based on the Hilbert-Huang Transform.- A Wavelet-Domain Hidden Markov Tree Model with Localized Parameters for Image Denoising.