Computational Complexity of the Continuous Wavelet Transform in Two Dimensions

Abstract

The two-dimensional continuous wavelet transform (CWT) is characterized by a rotation parameter, in addition to the usual translations and dilations. The CWT has been interpreted as space-frequency representation of two-dimensional signals, where the translation corresponds to the position variable, and the inverse of the scale and the rotation, taken together, correspond to the spatial-frequency variable. The integral of the CWT's squared modulus, with respect to all variables, gives the energy of the original signal. Therefore, an integration on a subset of the parameters gives an energy density in the remaining variables. This paper deals with the implementation of the two basic densities, that is, the position (or aspect-angle) and scale-angle densities.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1998
Accession Number
ADA358633

Entities

People

  • Fernando Mujica
  • Jean-pierre Antoine
  • Lance Kaplan
  • Romain Murenzi

Organizations

  • Clark Atlanta University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Aspect Angle
  • Computational Complexity
  • Computer Vision
  • Detection
  • Detectors
  • Directional
  • Electrical Engineering
  • Engineering
  • Feature Extraction
  • Frequency
  • Frequency Domain
  • Object Recognition
  • Pattern Recognition
  • Recognition
  • Signal Processing
  • Two Dimensional
  • Wavelet Transforms

Readers

  • Image Processing and Computer Vision.
  • Statistical inference.

Technology Areas

  • Space
  • Space - Hall-Effect Thruster