Reconstruction of Multiple Cracks from Experimental Electrostatic Boundary Measurements

Abstract

This paper describes an algorithm for recovering a collection of linear cracks in a homogeneous electrical conductor from boundary measurements of voltages induced by specified current fluxes. The technique is a variation of Newton's method and is based on taking weighted averages of the boundary data. We also describe an apparatus that was constructed specifically for generating laboratory data on which to test the algorithm. We apply the algorithm to a number of different test cases and discuss the results. Nondestructive testing, Inverse problems, Impendence tomography.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1993
Accession Number
ADA277433

Entities

People

  • Kurt Bryan
  • Michael Vogelius
  • Valdis Liepa

Tags

Communities of Interest

  • Biomedical

DTIC Thesaurus Topics

  • Algorithms
  • Boundaries
  • Boundary Value Problems
  • Computations
  • Coordinate Systems
  • Electrical Impedance
  • Equations
  • Experimental Data
  • Imaging Techniques
  • Impedance
  • Integral Equations
  • Inverse Problems
  • Mathematics
  • Measurement
  • Nondestructive Testing
  • Tomography
  • Two Dimensional

Readers

  • Operations Research
  • Plasma Physics.
  • Wave Propagation and Nonlinear Chaotic Dynamics.