3D temperature distribution measurement in a furnace based on acoustic tomography (AT) calculates temperature field through\nmultipath acoustic time-of-flight (TOF) data. In this paper, a new 3D temperature field reconstruction model based on radial basis\nfunction approximation with polynomial reproduction (RBF-PR) is proposed for solving the ATinverse problem. In addition, the\nmodified reconstruction method that integrates the advantages of the TSVD and Tikhonov regularization methods is presented to\nreduce the sensitivity of noise on perturbations with the ill-posed problems and improve the reconstruction quality (RQ).\nNumerical simulations are implemented to evaluate the effectiveness of the proposed reconstruction method using different 3D\ntemperature distribution models, which include the one-peak symmetry distribution, one-peak asymmetry distribution, and twopeak\nsymmetry distribution. To study the antinoise ability of our method, noises are added to the value of TOF. 3D display of\nreconstructed temperature fields and reconstruction errors is given. The results indicate that our model can reconstruct the\ntemperature distribution with higher accuracy and better antinoise ability compared with the truncated generalized singular value\ndecomposition (TGSVD). Besides that, the proposed method can determine the hot spot position with higher precision, and the\ntemperature error of the hot spot is lower than the other compared methods.
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