This paper examines an inverse problem which arises in thermal imaging. We investigate the problem of detecting and imaging corrosion in a material sample by applying a heat flux and measuring the induced temperature on the sample's exterior boundary. The goal is to identify the profile of some inaccessible portion of the boundary. We study the case in which one has data at every point on the boundary of the region, as well as 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.
Copyright © 1995 The American Society of Mechanical Engineers. This article first appeared in Proceedings of the ASME Design Engineering Conferences 3 (1995), 1023-1032
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Caudill, Lester, and Kurt Bryan. "Stability and Resolution in Thermal Imaging." Proceedings of the ASME Design Engineering Technical Conferences 3 (1995): 1023-1032.