Description
Book SynopsisWavelet analysis has had a great impact in areas such as approximation theory, harmonic analysis, and scientific computation. This book focuses on applications of wavelets to numerical solutions of partial differential equations and integral equations, image processing and facial recognition, and computer vision.
Table of ContentsNon-uniform sampling in multiply generated shift-invariant subspaces of $L^p(\mathbb{R}^d)$ by A. Aldroubi, Q. Sun, and W.-S. Tang Multiwavelets, pseudodifferential operators and microlocal analysis by R. Ashino, C. Heil, M. Nagase, and R. Vaillancourt A maximum entropy criterion for feature extraction by S. Basu, C. A. Micchelli, and P. Olsen Wavelet filters and infinite-dimensional unitary groups by O. Bratteli and P. E. T. Jorgensen On the Cohen-type conditions for the stabiltiy of shifts of a refinable function by G. J. Chae, H. O. Kim, and R. Y. Kim Trigonometric Hermite wavelet and natural integral equations for Stokes problem by W. Chen and W. Lin Vision, harmonic oscillator and wavelets by D.-Q. Dai Some properties of refinable splines by T. N. T. Goodman and S. L. Lee On some applications of a class of totally positive bases by L. Gori and F. Pitolli Interpolatory biorthogonal wavelets and CBC algorithm by B. Han and S. D. Riemenschneider Constructing orthogonal refinable function vectors with prescribed approximation order and smoothness by D. P. Hardin and T. A. Hogan On M-band wavelets having three vanishing moments by D. Huang, Z. Wang, and Z. Zhang Approximation power of refinable vectors of functions by R.-Q. Jia and Q.-T. Jiang Wavelet decomposition under translate by J. Ning Applications of shift-invariant space theory to some problems of multi-resolution analysis of $L^2({\mathbb R}^d)$ by H. O. Kim and J. K. Lim On the connectedness and classification of self-affine tiles by I. Kirat and K.-S. Lau Wavelet-Galerkin methods for second kind integral equations by X.-z. Liang and M.-c. Liu Convergence of cascade algorithms in $L_p(0\leq p \leq 1)$ by S. Li Asymptotics of zeros of Bernstein polynomials that are related to modified Daubechies wavelets by I. Ya. Novikov Homogeneous and nonhomogeneous refinable distributions in $F^{q,\gamma}$ by Q. Sun A wavelet transform based face recognition system and its applications by J. Tang, S. Kawato, and J. Ohya Spline wavelets in numerical resolution of partial differential equations by J. Wang Basis and convergence properties of wavelet packets by M. V. Wickerhauser A wavelet-based characterization of curves by L. Yang and Y. Y. Tang Face processing and recognition technology by P. C. Yuen, G. C. Feng, J. H. Lai, and D. Q. Dai The $p$-norm joint spectral radius and its applications in wavelet analysis by D.-X. Zhou.
