Splines: A New Contribution to Wavelet Analysis

Abstract

We present a new approach to the construction of biorthogonal wavelet transforms using polynomial splines. The construction is performed in a "lifting" manner and we use interpolatory, as well as local quasi-interpolatory and smoothing splines as predicting aggregates in this scheme. The transforms contain some scalar control parameters which enable their flexible tuning in either time or frequency domains. The transforms are implemented in a fast way. They demonstrated efficiency in application to image compression.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 2001
Accession Number
ADP013742

Entities

People

  • Amir Z. Averbuch
  • Valery A. Zheludev

Organizations

  • Tel Aviv University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Coefficients
  • Computer Science
  • Construction
  • Convergence
  • Decomposition
  • Dual Mode
  • Filters
  • Filtration
  • Polynomials
  • Rational Functions
  • Recursive Filters
  • Sequences
  • Technical Information Centers
  • Time Signals
  • Transfer Functions
  • Wavelet Transforms

Readers

  • Computational Modeling and Simulation
  • Image Processing and Computer Vision.
  • Linear Algebra