针对常见光学层析重建算法在少投影情况下重建多峰非对称待测场效果差的缺点,本文根据最大熵原理提出了一种适合于两个正交方向的光学层析重建算法。该算法只需要两个正交方向的投影数据就能够获得较好的重建效果。与此同时,由于该算法只需要两个正交方向的投影数据就可较好地完成重建,可使实验系统得到简化,故在重建多峰非对称待测场时表现出了相当的优越性。分别将单峰随机余弦函数、双峰随机余弦函数及三峰随机余弦函数作为待测场进行了计算机数值模拟,并考虑了该算法对噪声的抑制能力。实验结果表明:在施加高斯噪声的情况下,单峰随机余弦待测场的均方根误差降低了62.8%,双峰随机余弦待测场的均方根误差降低了63.3%,三峰随机余弦待测场的均方根误差降低了58.6%。

A new reconstruction algorithm based on maximum entropy theory for two orthographic directions is proposed. The method can acquire a good reconstruction result, which just needs two orthographic projection data. The new algorithm can make experimental system simple and show great superiority to multi-peaks asymmetrical flow fields reconstruction because only two orthographic direction projection data is necessary. Single-peak random cosine function, two-peak random cosine function, three-peak random cosine function are used as tested fields in numerical simulation, respectively. We also consider the ability of the proposed algorithm to suppress the noise. Under the condition of Gauss noise, the numerical simulation results show that the root mean square error of single-peak random cosine function is improved by 62.8%, the root mean square error of two-peak random cosine function is improved by 63.3%, and the root mean square error of three-peak random cosine function is improved by 58.6%.