A Backprojection Algorithm for Electrical Impedance Imaging

Abstract

We study a two-dimensional reconstruction algorithm due to D.C. Barber and B.H. Brown, applied to a linearized electrostatic inverse problem. Firstly we demonstrate how this algorithm fits within the framework of inverses of generalized Radon transforms studied by G. Beylkin. Secondly we construct an iterative improvement of the Barber-Brown algorithm based on the conjugate residual method. We present several numerical results obtained with this iterative algorithm.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1988
Accession Number
ADA198680

Entities

People

  • Fadil Santosa
  • Michael Vogelius

Tags

Communities of Interest

  • Advanced Electronics
  • Biomedical

DTIC Thesaurus Topics

  • Algorithms
  • Computational Science
  • Computations
  • Diagnostic Imaging
  • Eigenvalues
  • Eigenvectors
  • Electric Current
  • Electrical Impedance
  • Equations
  • Impedance
  • Integrals
  • Inverse Problems
  • Iterations
  • Measurement
  • Numerical Analysis
  • Numerical Quadrature
  • Tomography

Readers

  • Approximation Theory.
  • Image Processing and Computer Vision.
  • Linear Algebra