An Adaptive, Noise Tolerant, Frequency Extrapolation Algorithm for Diffraction Corrected Ultrasound Tomography,

Abstract

In the authors previous work (1), a procedure was developed, based on algorithm for rational function frequency extrapolation and l sub 1 -norm averaging to circumvent both the effects of noise, and errors due to refracted curved paths, for solving the inverse scattering problem in ultrasonic imaging. In this paper, they reverse the order of the first two algorithms with respect to (1;) that is they first apply the l sub 1 averaging procedure and then carry out the rational function procedure, extrapolating to infinite frequency. An adaptive method for choosing the best rational function expansion is also employed. They describe the underlying ideas of the procedure, and illustrate examples of reconstructions in the presence and absence of Gaussian noise. These results are then compared with results of previous experiments. The resulting procedure works with a much smaller signal-to-noise ratio. An extension is suggested to image speed of sound and density. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1983
Accession Number
ADA136455

Entities

People

  • F. Stenger
  • M. J. Berggren
  • Scott A. Johnson
  • Yang Li

Organizations

  • University of Utah

Tags

Communities of Interest

  • Biomedical
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Computational Science
  • Detectors
  • Differential Equations
  • Diffraction
  • Equations
  • Extrapolation
  • Frequency
  • Gaussian Noise
  • Helmholtz Equations
  • Inverse Scattering
  • Numbers
  • Numerical Analysis
  • Partial Differential Equations
  • Rational Functions
  • Scattering
  • X-Ray Computed Tomography

Readers

  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Image Processing and Computer Vision.
  • Systems Analysis and Design