An Inverse Problem in Thermal Imaging.

Abstract

This paper examines uniqueness and stability results for an inverse problem in thermal imaging. The goal is to identify an unknown boundary of an object by applying a heat flux and measuring the induced temperature on the boundary of the sample. The problem is studied both in the case in which one has data at every point on the boundary of the region and the case in which only finitely many measurements are available. An inversion procedure is developed and used to study the stability of the inverse problem for various experimental configurations. (jg)

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1994
Accession Number
ADA289757

Entities

People

  • Kurt Bryan
  • Lester F. Caudill Jr

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Applied Mathematics
  • Boundaries
  • Boundary Value Problems
  • Convolution
  • Convolution Integrals
  • Engineering
  • Equations
  • Frequency
  • Heat Flux
  • Integral Equations
  • Integrals
  • Inverse Problems
  • Inversion
  • Mathematics
  • Measurement
  • Standards

Readers

  • Calculus or Mathematical Analysis
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Ocean-Atmosphere Mesoscale Modeling, Data Assimilation, and Flux Boundary Layers