计算物理 ›› 1999, Vol. 16 ›› Issue (5): 517-523.

• 论文 • 上一篇    下一篇

卷积反投影法重建温度场

王祜民, 刘可学   

  1. 清华大学应用数学系, 北京 100084
  • 收稿日期:1998-06-10 修回日期:1999-01-27 出版日期:1999-09-25 发布日期:1999-09-25
  • 作者简介:王祜民,男,59,副教授

Convolution method for parallel beams to reconstruct temperature distribution

Wang Humin, Liu Kexue   

  1. Department of Applied Mathematics, Tsinghua University, Beijing 100084
  • Received:1998-06-10 Revised:1999-01-27 Online:1999-09-25 Published:1999-09-25

摘要: 电子散斑干涉技术是近年发展起来的一门新兴的测量技术,它由光干涉原理测量物理场的密度、温度分布等,这种测量技术是由物理场在不同截面、不同方向上的投影值反求场分布,这非常类似于CT技术。简述二维重建的基本原理,着重介绍卷积反投影重建算法。依此原理,模拟了双高斯分布函数的投影,并由平行束卷积法重建出模拟的温度场。为了指导电子散斑干涉实验,模拟了三种可能实验误差,并分别给出了重建结果。由于电子散斑干涉测量(投影)的方向个数小,提出了双线性滤波算法,使在测量值稀疏的条件下得到较好重建结果。

关键词: 电子散斑干涉, 卷积法, 温度场, 重建

Abstract: ESPI (Electronic Speckle Pattern Interferometry) is a new technique that can be used to measure the density field or the temperature field of a transparent fluid. One essential part of this technique is to reconstruct a 3D image of the physical field by use of the projections of the field to different directions and/or different sections. This work introduces the primary principle of 2D reconstruction and then focuses on convolution method for parallel beams. On this foundation, it simulates the projections for double Gauss distribution function and reconstructs the simulating temperature field by the convolution method for parallel beam. In order to instruct ESPI experiment, it also simulates three different errors and gets the sensitivity of them. According to the limited direction character of ESPI, the double linear interpolation method is used and gets a better reconstruction result.

Key words: Electronic Speckle Pattern Interferometry, convolution method, computer tomography, temperature field, reconstruction

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