Advances in wavelets
著者
書誌事項
Advances in wavelets
Springer, c1999
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注記
Includes bibliographical references
内容説明・目次
内容説明
Wavelets is a new area that stands at the intersection of the frontiers of mathematics, scientific computing, and signal and image processing, and is one of the major research directions in science in the last decade which is still undergoing rapid growth. This book brings together eleven of the polished versions of the seminars and lectures held over a year-long programme on "Wavelets and their Applications" in Hong Kong, and which cumulated to a workshop in May 1997 which was attended by scientists and graduate students from China, Singapore, North and South America, and Europe. The volume covers the topics of: Theory of frames and applications; Wavelet coefficients; Refinable functions and approximation; Multiwavelets; and Tiling. . Advances in Wavelets will prove a useful reference source to graduate students and researchers alike on the many applications of wavelets.
目次
Frames, Sampling and Seizure Prediction (J. J. Benedetto).- Construction of Compactly Supported Affine Frames in L2 (IRd) (A. Ron & Z. Shen).- Understanding Wavelet Image Coding (S. Mallat & F. Falzon).- Multiplication of Short Wavelet Series using Connection Coefficients (V. Perrier & M. V. Wikckerhauser).- Conjugate Quadrature Filters (W. M. Lawton).- Polynomial Reproduction by Refinable Functions (C. A. Cabrelli et al.).- From Cardinal Hermite Splines to Multiwavelets (S. S Gog et al.).- Orthogonal Multiwavelet Constructions: 101 Things to do with a Hat Function (G. C. Donovan et al.).- Convergence of Vector Subdivision Schemes and Construction of Biorthogonal Multiple Wavelets (R. Q. Jia).- Study of Linear Independence and Accuracy of Scaling Vectors via Two-scale Factors (J. Z. Wang).- Self-Affine Tiles (Y. Wang).
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