A method, apparatus, and computer program product provides automated analysis of thermal imaging data for multi-layer materials based upon a theoretical model of a multi-layer material system, which is solved numerically. The computer-implemented method effectively processes the volume heating effect for thermal barrier coatings (TBCs), since quantitative evaluation of TBC thickness and conductivity is particularly important. TBC thickness is a processing parameter and required to be monitored. TBC conductivity is a measure of TBC quality because it is directly related with TBC density/porosity, microcracking and interface cracks. Because this method is an imaging technology, it can be used for fast and 100% area inspection of larger TBC surfaces, such as combustor liners.