Beyond Wavelets: Volume 10 (Studies in Computational Mathematics") 〈10〉

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Beyond Wavelets: Volume 10 (Studies in Computational Mathematics") 〈10〉

  • オンデマンド(OD/POD)版です。キャンセルは承れません。
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  • 製本 Hardcover:ハードカバー版／ページ数 320 p.
  • 言語 ENG
  • 商品コード 9780127432731
  • DDC分類 621

基本説明

Key features: Curvelets, Contourlets, Ridgelets; Digital Implementation of Ridgelet Packets; Steerable Wavelet Packets.

Full Description


"Beyond Wavelets" presents state-of-the-art theories, methods, algorithms, and applications of mathematical extensions for classical wavelet analysis. Wavelets, introduced 20 years ago byMorlet and Grossmann and developed very rapidly during the 1980's and 1990's, has created a common link between computational mathematics and other disciplines of science and engineering.Classical wavelets have provided effective and efficient mathematical tools for time-frequency analysis which enhances and replaces the Fourier approach.However, with the current advances in science and technology, there is an immediate need to extend wavelet mathematical tools as well. "Beyond Wavelets" presents a list of ideas and mathematicalfoundations for such extensions, including: continuous and digital ridgelets, brushlets, steerable wavelet packets, contourlets, eno-wavelets, spline-wavelet frames, and quasi-affine wavelets. Wavelet subband algorithms are extended to pyramidal directional and nonuniform filter banks. In addition, this volume includes amethod for tomographic reconstruction using a mechanical image model and a statistical study for independent adaptive signal representation.Investigators already familiar with wavelet methods from areas such as engineering, statistics, and mathematics will benefit by owning this volume.

Contents

Digital Ridgelet Transform based on True Ridge Functions; Digital Implementation of Ridgelet Packets; Brushlets: Steerable Wavelet Packets; Contourlets; ENO-wavelet Tranforms and Some Applications; A Mechanical Image Mdoel for Baeysian Tomographic Reconstruction; Sparsity vs. Statistical Independence in Adaptive Signal Representations: A Case Study of the Spike Process; Nonuniform Filter Banks: New Results and Open Problems; Recent Development of Spline Wavelet Frames with Complace Support; Affine, Quasi-Affine and Co-Affine Wavelets