中文摘要：

在高温温度场重建过程中,仍然需要通过温度场的单点温度值来构建整个温度场的温度分布情况。以焊接温度场为例,通过反距离加权法、克里格法和样条函数法三种插值方法,分别对其空间变异和布局进行了分析和重建。结果表明：不同插值方法对预测精度影响不显著,而采样点数量则显著影响了温度场空间分布的重建精度。在温度场重建过程中,25个采样点进行重建是比较适宜的采样数量。将得出的结论与最佳采样公式进行比较,发现使用公式计算的最佳采样数量相对偏低,说明不考虑采样点实际的空间变异情况,仅使用最佳公式得到的采样数量进行温度场的重建会导致重建结果的不准确。

英文摘要：

In the process of high temperature field reconstruction, it still need through a plurality of single point temperature measurement combined with spatial interpolation methods appropriate to reconstruct the temperature distribution of the whole temperature field. Taking welding temperature field as an example, the spatial variability and distribution of temperature field were analyzed and forecasted by sample points through OK, IDW and spline methods, respectively. The results show that different interpolation methods do not significantly influence on reconstruction accuracy and the amount of sample points significantly affect the prediction accuracy of the spatial distribution of temperature field. In the temperature field evaluation, 25 sample points are more suitable for the sample number. Comparing with the sample number of our results with the formula, it was found that calculation sample number by optimum formula is significantly lower than our results. It show that if we do not consider the spatial variation and only use the formula will lead to uncertainty in temperature field reconstruction.