双极场逆Radon变换的数值模拟  

Numerical Simulation on Inversing Radon Transform

作　　者：宋一中[1] 胡国英[2] 贺安之[1] 

机构地区：[1]南京理工大学理学院信息物理与工程系,江苏南京210094 [2]烟台大学光电信息科学与技术学院,山东烟台264000

出　　处：《光电子．激光》2006年第5期616-619,共4页Journal of Optoelectronics·Laser

基　　金：中国博士后科学基金资助项目(2004036121);国家自然科学基金资助项目(10404022);山东省科技计划立项课题(J04A63)

摘　　要：对双极场(DPF)的逆Radon变换进行了数值模拟。采用加法代数重建迭代算法(ART)对含有正负值的DPF进行重建,迭代了500次。结果发现,迭代一直收敛,重建场与原场相似,包括峰的位置、方向和形状,但各个峰的高度都较原场相应的峰矮,重建区域的边界出现了明显的波动现象。与相应单极场(SPF)的重建误差作比较,结果发现,DPF的3种模拟误差都大于SPF相应的误差,其中均方误差(MSE)大10-4数量级,绝对平均误差(AVE)、峰值相对误差(PE)分别大10-3、10-2数量级,说明同样条件下DPF的重建精度比SPF的小。The inverse Radon transform was numerically simulated with a double-pole field （DPF）. A DPF was reconstructed with algebraic reconstruction technique （ART） by iterating 500 times. As a result, the iteration converged throughout. The reconstructed field was similar to the model one in respect of position, pointing and shape of the peaks, but each peak was shorter than that of the corresponding one in model field. The borderline of reconstructed field showed an obvious fluctuation. Compared with the reconstructed singlepole （SPF）, each of the three errors of the reconstructed DPF was bigger than the corresponding one of reconstructed SPF by mean-square error （MSE） at magnitude 10^-4, absolte value error （AVE） and peak error （PE） at 10^-3 and 10^-2, respectively. Under the same condition, the reconstructed DPF had poorer precision than SPF.

关 键 词：RADON变换 数值模拟 误差分析 重建 层析 

分 类 号：TH744.3[机械工程—光学工程]