title: Ultrasonic temperature distribution reconstruction for circular area based on Markov radial basis approximation and singular value decomposition.
abstract: Temperature distribution reconstruction is of critical importance for circular area, and an ultrasonic technique is investigated to meet this demand in this paper. Considering the particularity of circular area, algorithm based on Markov radial basis approximation and singular value decomposition is proposed, while ultrasonic transducers layout and division of measured area are properly designed. The reconstruction performance is validated via numerical experiments using different temperature distribution models, and is compared with algorithm based on least square method. To study the anti-interference, various noises are adding to the theoretical value of time-of-flight. Experiment results indicate that the proposed algorithm can reconstruct temperature distribution with higher accuracy and stronger anti-interference, while without the problem of algorithm based on least square method that its reconstructions will lose much temperature information near the edge of measured area.
authors.affiliation: School of Automation, Chongqing University, Chongqing 400044, China.
authors.forename: Xuehua
authors.initials: X
authors.lastname: Shen
authors.affiliation: School of Automation, Chongqing University, Chongqing 400044, China; Key Laboratory of Dependable Service Computing in Cyber Physical Society, MOE, China; School of Software Engineering, Chongqing University, Chongqing 400044, China. Electronic address: cquxqy@163.com.
authors.forename: Qingyu
authors.initials: Q
authors.lastname: Xiong
authors.affiliation: School of Automation, Chongqing University, Chongqing 400044, China.
authors.forename: Xin
authors.initials: X
authors.lastname: Shi
authors.affiliation: School of Automation, Chongqing University, Chongqing 400044, China.
authors.forename: Kai
authors.initials: K
authors.lastname: Wang
authors.affiliation: School of Automation, Chongqing University, Chongqing 400044, China.
authors.forename: Shan
authors.initials: S
authors.lastname: Liang
authors.affiliation: School of Software Engineering, Chongqing University, Chongqing 400044, China.
authors.forename: Min
authors.initials: M
authors.lastname: Gao
keywords: Reconstruction algorithm; Temperature distribution; Temperature measurement