光学学报, 2005, 25 (12): 1606, 网络出版: 2006-05-23
一种正交二视角光学层析重建算法
Study on Two-Orthogonal-View Reconstruction Algorithm of Optical Computerized Tomography
信息光学 重建算法 光学层析 最大熵 正交二视角 多峰非对称 information optics reconstruction algorithm optical computerized tomography maximum entropy two-orthogonal-view multi-peaks asymmetry
摘要
提出了一种基于最大熵原理的正交二视角重建算法,该算法能够较好地重建多峰非对称待测场,且只需两个正交方向的投影数据。算法中融合了含有轴对称因子的先验知识,该先验知识可由两个正交方向的投影数据迭代算出,并分析了正交投影方向这个因素对重建结果的影响。通过计算机数值模拟,结果表明,融合先验知识的正交二视角重建算法与没有融合先验知识的正交二视角重建算法相比重建精度全面超出。其中,在两峰随机余弦高斯模拟待测场的情况下均方根误差减少了73%。在三峰随机高斯模拟待测场的情况下均方根误差减少了47%。该算法充分显示了在重建多峰非对称待测场时的优越性。同时,由于只需要两个正交方向的投影数据,可使实验系统得到简化。
Abstract
Two-orthogonal-view reconstruction algorithm based on maximum entropy theory is proposed. Multi-peaks asymmetrical flow fields can be well reconstructed by the proposed reconstruction algorithm according to two-orthogonal-views projection data. Additional prior information with axial symmetrical gene is combined into the new algorithm, the prior information can be calculated by the two-orthogonal-views projection data, and the effect of projection angel factor is analyzed. The numerical simulation results show that reconstructed results of multi-peaks asymmetrical flow fields obtained by the proposed algorithm are superior to the traditional alborithm, and the double-peak-cosine-Gauss simulated field root-mean-square error decreases 73%. Three-peak-random-Gauss simulated field root-mean-square error decreases 47%. So the proposed novel algorithm strongly shows superiority to reconstructing multi-peaks asymmetrical flow fields. Meanwhile only projection data two of orthogonal directions are needed so the experiment system is simplified.
邢键, 高益庆. 一种正交二视角光学层析重建算法[J]. 光学学报, 2005, 25(12): 1606. 邢键, 高益庆. Study on Two-Orthogonal-View Reconstruction Algorithm of Optical Computerized Tomography[J]. Acta Optica Sinica, 2005, 25(12): 1606.