Optical HAAR Wavelet Transforms using Computer Generated Holography

Abstract

This research introduces an optical implementation of the continuous wavelet transform to filter images. The wavelet transform is modeled as a correlation process and is implemented with a Vander Lugt correlator. The orthonormal basis set used is composed of two one-dimensional Haar functions and a two-dimensional Haar function. Each wavelet, as well as its first two dyadic scalings, is implemented with computer generated holography. The Interferogram method, which represents a function only in terms of its phase, is used to encode the wavelet functions. The results are imaged onto a CCD array and captured using a framegrabber. The optical results are compared to digital simulation. The results show that an optical implementation of the continuous wavelet transform was performed and that the results compared favorably to digital simulation. Wavelets, Holography, Optical correlators.

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Document Details

Document Type
Technical Report
Publication Date
Dec 17, 1992
Accession Number
ADA259079

Entities

People

  • Peter G. Block

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Advanced Electronics
  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Carrier Frequencies
  • Computer Programs
  • Computers
  • Cross Correlation
  • Detectors
  • Digital Computers
  • Electrical Engineering
  • Feature Extraction
  • Frequency
  • Holograms
  • Image Reconstruction
  • Image Segmentation
  • Optical Correlators
  • Optical Images
  • Pattern Recognition
  • Three Dimensional
  • Two Dimensional

Fields of Study

  • Physics

Readers

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