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A New Algorithm for Reconstructing Two-Dimensional Temperature Distribution by Ultrasonic Thermometry

机译：超声测温重建二维温度分布的新算法

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摘要

Temperature, especially temperature distribution, is one of the most fundamental and vital parameters for theoretical study and control of various industrial applications. In this paper, ultrasonic thermometry to reconstruct temperature distribution is investigated, referring to the dependence of ultrasound velocity on temperature. In practical applications of this ultrasonic technique, reconstruction algorithm based on least square method is commonly used. However, it has a limitation that the amount of divided blocks of measure area cannot exceed the amount of effective travel paths, which eventually leads to its inability to offer sufficient temperature information. To make up for this defect, an improved reconstruction algorithm based on least square method and multiquadric interpolation is presented. And then, its reconstruction performance is validated via numerical studies using four temperature distribution models with different complexity and is compared with that of algorithm based on least square method. Comparison and analysis indicate that the algorithm presented in this paper has more excellent reconstruction performance, as the reconstructed temperature distributions will not lose information near the edge of area while with small errors, and its mean reconstruction time is short enough that can meet the real-time demand.
机译：温度，尤其是温度分布，是用于各种工业应用的理论研究和控制的最基本和最重要的参数之一。本文研究了超声测温法重建温度分布，并参考了超声速度对温度的依赖性。在该超声技术的实际应用中，通常使用基于最小二乘法的重建算法。然而，其局限性在于，测量区域的划分块的数量不能超过有效行进路径的数量，这最终导致其无法提供足够的温度信息。为了弥补这一缺陷，提出了一种基于最小二乘法和二次二次插值的改进重构算法。然后，通过使用四个复杂度不同的温度分布模型的数值研究，验证了其重构性能，并将其与基于最小二乘法的算法进行了比较。比较分析表明，本文提出的算法具有更好的重建性能，因为重建后的温度分布不会在区域边缘附近丢失信息，而且误差很小，并且平均重建时间足够短，可以满足实际情况。时间需求。

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  • 来源
    《Mathematical Problems in Engineering》 |2015年第2期|916741.1-916741.10|共10页
  • 作者

    Shen Xuehua; Xiong Qingyu; Shi Weiren; Liang Shan; Shi Xin; Wang Kai;

  • 作者单位

    Chongqing Univ, Sch Automat, Chongqing 400044, Peoples R China.;

    Chongqing Univ, Sch Software Engn, Chongqing 400044, Peoples R China.;

    Chongqing Univ, Sch Automat, Chongqing 400044, Peoples R China.;

    Chongqing Univ, Sch Automat, Chongqing 400044, Peoples R China.;

    Chongqing Univ, Sch Automat, Chongqing 400044, Peoples R China.;

    Chongqing Univ, Sch Automat, Chongqing 400044, Peoples R China.;

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