Temperature field reconstruction algorithm based on radial basis function and regularization

Abstract

The invention relates to the field of reconstruction algorithms, in particular to a temperature field reconstruction algorithm based on a radial basis function and regularization. The problems that inthe prior art, the edge information of a temperature field is lacked, information fitting is not smooth enough and the precision is not enough are solved. The temperature field reconstruction algorithm comprises the following steps of A, dividing a to-be-measured region; B, calculating the flight time; D, calculating the reciprocal distribution; and E, calculating the temperature field distribution. According to the algorithm, global reconstruction is well achieved; good overall performance and smoothness are achieved, the reciprocal distribution of the two-dimensional plane ultrasonic soundvelocity is represented by the linear combination of the algorithm, good continuity is achieved, and the problem that the edge information of the temperature field in previous methods is lacked is solved; the temperature distribution of the edge of the temperature field is well reconstructed, the reconstructed temperature field is more smooth in distribution, and the temperature field distributionis closer to the real temperature field distribution; the problem of ill-conditioned matrix solving is solved, and the reconstruction precision is improved.

Description

technical field [0001] The invention relates to the field of reconstruction algorithms, in particular to temperature field reconstruction algorithms based on radial basis functions and regularization. Background technique [0002] At present, the most widely used two-dimensional plane temperature field reconstruction algorithms using ultrasonic temperature measurement are the least square method, singular value decomposition method, algebraic reconstruction method and Markov radial basis function method. The principle of the least squares method is simple and easy to calculate, but when dividing a two-dimensional plane, the number of regions required to be divided is less than the number of ultrasonic propagation paths, which limits the accuracy of the least squares method, and the reconstructed temperature field will lack edges information, there will be limitations for practical application. Singular value decomposition will not be limited by the number of plane area divi...

AI Technical Summary

Problems solved by technology

[0004] The invention proposes a temperature field reconstruction algorithm based on radial basis function and regularization, which solves the problems of lack of information on the edge of the temperature field, insufficient smoothness of information fitting, and insufficient precision in the prior art

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