Wavelet analysis and applications : proceedings of an international conference on wavelet analysis and its applications, November 15-20, 1999, Zhongshan University, Guangzhou, China
著者
書誌事項
Wavelet analysis and applications : proceedings of an international conference on wavelet analysis and its applications, November 15-20, 1999, Zhongshan University, Guangzhou, China
(AMS/IP studies in advanced mathematics, v. 25)
American Mathematical Society : International Press, c2002
大学図書館所蔵 全25件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
  スイス
  フランス
  ベルギー
  オランダ
  スウェーデン
  ノルウェー
  アメリカ
注記
Includes bibliographies
内容説明・目次
内容説明
Wavelet analysis has been one of the major research directions in science in the last decade. More and more mathematicians and scientists join this exciting research area. Certainly, wavelet analysis has had a great impact in areas such as approximation theory, harmonic analysis, and scientific computation. More importantly, wavelet analysis has shown great potential in applications to information technology such as signal processing, image processing, and computer graphics. China has played a significant role in this development of wavelet analysis as evidenced by many fruitful theoretical results and practical applications.A conference on wavelet analysis and its applications was organized to exchange ideas and results with international research groups at Zhongshan University (Guangzhou, China). This volume contains the proceedings from that conference. Comprised here are selected papers from the conference, covering a wide range of research topics of current interest. Many significant results are included in the study of refinement equations and refinable functions, properties and construction of wavelets, spline wavelets, multi-wavelets, wavelet packets, shift-invariant spaces, approximation schemes and subdivision algorithms, and tilings. Several papers also focus on applications of wavelets to numerical solutions of partial differential equations and integral equations, image processing and facial recognition, computer vision, and feature extraction from data.
目次
Non-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.
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