A Boundary Integral Method for an Inverse Problem in Thermal Imaging

Abstract

This paper examines an inverse problem in thermal imaging, that of recovering a void in a material from its surface temperature response to external heating. Uniqueness and continuous dependence results for the inverse problem are demonstrated and a numerical method for its solution developed. This method is based on an optimization approach, coupled with a boundary integral equation formulation of the forward heat conduction problem. Some convergence results for the method are proved and several examples are presented using computationally generated data.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1992
Accession Number
ADA255859

Entities

People

  • Kurt Bryan

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Algorithms
  • Boundaries
  • Contractors
  • Convergence
  • Delta Functions
  • Engineering
  • Equations
  • Geometry
  • Heat Flux
  • Integral Equations
  • Integrals
  • Inverse Problems
  • Materials
  • Noise
  • Optimization
  • Surface Temperature
  • Theorems

Readers

  • Calculus or Mathematical Analysis
  • Systems Analysis and Design
  • Thermal Physics or Thermal Science.