Multiquadric散乱数据插值方法在γ辐射场可视化中的应用初探

探究γ辐射场分布及其变化规律对于核设施的状态监控以及核辐射的防护研究具有重要意义。获取γ辐射场的空间分布需要解决利用少量、离散且分布不规则的实验数据重构整个辐射场的难题。本文首次将Multiquadric径向基函数散乱数据插值方法应用于γ辐射场的重构,并实现了γ辐射场模拟数据重构及可视化。对于具有轴对称性的γ辐射场,在采样数据点个数相同的条件下,与数据处理软件MATLAB中自带的Spline方法得到的插值结果相比,Multiquadric方法插值结果的平均相对误差仅为前者的9.47%;对于转动π/2对称的γ辐射场,提出了一种采样数据优化方案,重构结果的平均相对误差相较于未优化采样数据的结果降低了约64.51%。

Preliminary application of Multiquadric scattered data interpolation technique in gamma radiation field visualization

Background: Investigations of the distribution and variation of gamma radiation field play an important role in nuclear installation monitor and radioprotection.Purpose: In order to obtain the gamma radiation field distribution, one has to deal with the problem of reconstructing the whole gamma radiation field using the small scaled, discrete and irregular distributed experimental data.Methods: In present paper, several classic scattered data interpolation techniques are introduced with the emphasis on parallel radial basis function interpolation method, and the Multiquadric algorithm is applied to reconstruct the gamma field.Results: For the gamma radiation with rotational symmetry, it is found that, the reconstruction results from Multiquadric method is much better than the result from the built-in interpolation method based on the same sampling data, where the average relative error of Multiquadric result is only 9.47% of the later. For the gamma radiation field withπ/2 symmetry, an optimized method for sampling data is proposed and it is found that the average relative error of Multiquadric interpolation results after optimization has been reduced by 64.51% or so.Conclusion: Multiquadric method can be applied for the reconstruction of the gamma radiation filed based on small scaled, discrete and irregular distributed detected gamma field information with high precision, and the experimental investigations are also in progress.