Research on 3D Temperature Distribution Reconstruction Based on Acoustics Tomography

摘要

3D temperature field measurement based on acoustic tomography (AT) calculates temperature distributions of the measurement region through multi-path acoustic time of flight (TOF) data. In this paper, a new 3D temperature field reconstruction model based on radial basis function approximation with polynomial reproduction (RBF-PR) is proposed for solving the AT inverse problem. In addition, Discretization of temperature reconstruction inverse problems generally gives rise to very ill-posed systems of algebraic equations, the modified Tikhonov regularization method is presented to improve the reconstruction quality (RQ). Numerical simulations are implemented to evaluate the feasibility and effectiveness of the proposed reconstruction method using 3D different temperature distribution models. To study the anti-noise ability of the modified method, noises are also added to the value of TOF. 3D display of reconstructed temperature fields and reconstruction errors are given. The results indicate that our new method can reconstruct temperature distribution with higher accuracy and better anti-noise ability compared with other popular methods. As a result, an useful approach is introduced for solving the 3D AT inverse problem in this paper.