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 in both 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.
Copyright © 1996 Society for Industrial and Applied Mathematics. This article first appeared in SIAM Journal on Applied Mathematics 56, no. 3 (June 1996): 715-35. doi: 10.1137/S0036139994277828.
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Bryan, Kurt, and Lester F. Caudill, Jr. "An Inverse Problem in Thermal Imaging." SIAM Journal on Applied Mathematics 56, no. 3 (June 1996): 715-35. doi: 10.1137/S0036139994277828