A Boundary Integral Method for an Inverse Problem in Thermal Imaging
INSTITUTE FOR COMPUTER APPLICATIONS IN SCIENCE AND ENGINEERING HAMPTON VA
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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.
- Numerical Mathematics
- Infrared Detection and Detectors