基于最小二乘法和克里金插值的三维温度场重建  

Reconstruction of three-dimensional temperature field based on least-square method and Kriging interpolation

作　　者：颜华[1] 李欣[1] 王善辉[1] 

机构地区：[1]沈阳工业大学信息科学与工程学院,沈阳110870

出　　处：《沈阳工业大学学报》2014年第3期303-307,共5页Journal of Shenyang University of Technology

基　　金：国家自然科学基金资助项目(60772054;61372154);高等学校博士学科点专项科研基金资助项目(20102102110003);辽宁省高等学校优秀人才支持计划项目(LR2013005)

摘　　要：为了提高三维温度场声学CT法的重建精度,提出了最小二乘法和克里金插值相结合的重建方法.采用最小二乘法获得一个由少量像素描述的温度场,运用克里金内插和外推运算获得整个被测温度场的细致描述.典型的单峰及双峰三维模型温度场的重建结果及误差分析表明,克里金法的内插和外推精度优于普遍采用的三次样条法.最小二乘法和克里金插值的结合,可有效克服最小二乘法像素数需少于声波路径数给温度场细致描述带来的困难,能实现复杂三维温度场的高精度重建.In order to improve the reconstruction accuracy of three-dimensional temperature field by acoustic computer tomography（ CT）,a reconstruction method based on the combination of least-square method and Kriging interpolation was proposed. A temperature field described by a fewvoxels was obtained with the least-square method. The detail description about whole measured temperature field was acquired by the Kriging interpolation and extrapolation operation. The reconstruction results and error analysis of typical single-peak and double-peak model temperature field showthat the interpolation and extrapolation accuracy of Kriging method is much higher than that of widely used cubic spline method. The combination of least-square method and Kriging interpolation can overcome the difficulty in the detail description of temperature field caused by the fact that the number of voxels needed in the least-square method must be less than that of sound paths,and thus,the higher accuracy reconstruction of complex three-dimensional temperature field can be achieved.

关 键 词：声学CT 三维温度场 温度场重建 最小二乘法 克里金法 三次样条法 内插 外推 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]