Abstract-In the article a new optimization approach for thermal processes modeling has been presented. In the designed method, the considered process is monitored by a measurement system with a thermal camera. Then, a spatio-temporal dynamics is discretized and transformed into a large-scale optimization problem with differential-algebraic constraints. To preserve the process dynamics in the assumed range, variability constraints have been imposed. Finally, a new interior-point optimization algorithm has been designed to solve the optimization problem with the variability constraints. The applicability of the new approach has been investigated experimentally.
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