An inverse boundary determination problem for a parabolic model, arising in thermal imaging, is considered. The focus is on intelligently choosing an effective input heat flux, so as to maximize the practical effectiveness of an inversion algorithm. Three different methods, based on different interpretations of the term “effective", are presented and analyzed, then demonstrated through numerical examples. It is noteworthy that each of these flux-selection methods is independent of the particular inversion algorithm to be used.
Copyright © 2008 IOP Publishing. This article first appeared in Journal of Physics: Conference Series 124 (2008): 012010. doi:10.1088/1742-6596/124/1/012010.
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Bryan, Kurt, and Lester Caudill. "Algorithm-independent Optimal Input Fluxes for Boundary Identification in Thermal Imaging." Journal of Physics: Conference Series 124 (2008): 012010. doi:10.1088/1742-6596/124/1/012010.