S+Wavelets: Algorithms and Technical Details.

Abstract

A complete description is given for the algorithms in S+WAVELETS software toolkit for wavelet and cosine packet analysis. These algorithms include wavelet transforms, wavelet packet transforms, cosine packet transforms, and non-decimated wavelet transforms. Implementations for the transforms and their inverses are given for a variety of boundary treatment rules, including periodic, reflection, interval wavelets, and zero/polynomial extension. In addition, modifications to the standard algorithms are given to handle signals or images with dimensions not divisible by a power of two.

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Document Details

Document Type
Technical Report
Publication Date
Jan 16, 1995
Accession Number
ADA300199

Entities

People

  • Andrew G. Bruce
  • David Ragozin
  • Hong-ye Gao

Tags

Communities of Interest

  • C4I
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Algorithms
  • Applied Mathematics
  • Artificial Intelligence
  • Boundaries
  • Coefficients
  • Convolution
  • Data Compression
  • Extrapolation
  • Filters
  • Filtration
  • High Pass Filters
  • Information Theory
  • Low Pass Filters
  • Polynomials
  • Signal Processing
  • Technical Information Centers
  • Wavelet Transforms

Fields of Study

  • Engineering

Readers

  • Computer Engineering
  • Computer Vision.
  • Linear Algebra