書誌事項

Wavelets : theory and applications

A.K. Louis, P. Maaß, A. Rieder

(Pure and applied mathematics)

Wiley, c1997

大学図書館所蔵 件 / 全61件

この図書・雑誌をさがす

注記

Includes references (p. [313]-319) and index

内容説明・目次

内容説明

With applications in pattern recognition, data compression and numerical analysis, the wavelet transform is a key area of modern mathematics that brings new approaches to the analysis and synthesis of signals. This book presents the central issues and emphasizes comparison, assessment and how to combine method and application. It reviews different approaches to guide researchers to appropriate classes of techniques.

目次

Preface ix Notation xi Introduction xv 1 The Continuous Wavelet Transform 1 1.1. Definition and Elementary Properties 1 1.2 Affine Operators 10 1.3 Filter Properties of the Wavelet Transform 12 1.4 Approximation Properties 22 1.5 Decay Behaviour 32 1.6 Group-Theoretical Foundations and Generalizations 36 1.7 Extension of the One-Dimensional Wavelet Transform to Sobolev Spaces 59 Exercises 69 2 The Discrete Wavelet Transform 73 2.1 Wavelet Frames 73 2.2 Multiscale Analysis 97 2.3 Fast Wavelet Transform 121 2.4 One-Dimensional Orthogonal Wavelets 131 2.5 Two-Dimensional Orthogonal Wavelets 203 Exercises 226 3 Applications of the Wavelet Transform 231 3.1 Wavelet Analysis of One-Dimensional Signals 231 3.2 Quality Control of Texture 235 3.3 Data Compression in Digital Image Processing 239 3.4 Regularization of Inverse Problems 251 3.5 Wavelet - Galerkin Methods for Two-Point boundary Value Problems 259 3.6 Schwarz Iterations Based on Wavelet Decompositions 278 3.7 An Outlook on Two-Dimensional Boundary Value Problems 300 Exercises 306 Appendix The Fourier Transform 309 References 313 Index 321

「Nielsen BookData」 より

関連文献: 1件中  1-1を表示

詳細情報

  • NII書誌ID(NCID)
    BA32408525
  • ISBN
    • 0471967920
  • 出版国コード
    uk
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Chichester
  • ページ数/冊数
    xvii, 324 p.
  • 大きさ
    24 cm
  • 件名
  • 親書誌ID
ページトップへ

AltStyle によって変換されたページ (->オリジナル) /