基于滤波路径变换的板状物X射线三维重建算法  

X-Ray Three-Dimensional Reconstruction Algorithm of Plate-Like Objects Based on Filter Path Transformation

作　　者：穆子扬 卢荣胜[1] 何攀 张贵林 方明涛 Mu Ziyang;Lu Rongsheng;He Pan;Zhang Guilin;Fang Mingtao(School of Instrument Science and Opto-Electronics Engineering,Hefei University of Technology,Hefei 230009,Anhui,China)

机构地区：[1]合肥工业大学仪器科学与光电工程学院,安徽合肥230009

出　　处：《光学学报》2024年第9期304-317,共14页Acta Optica Sinica

基　　金：国家重点研发计划项目(2023YFF0715502);安徽省重点研发计划项目(202304a05020013)。

摘　　要：X射线计算机断层扫描(CT)是一种广泛应用于三维物体内部结构重建的技术,但在射线锥角增大时,使用FDK(Feldkamp-Davis-Kress)算法重建会导致图像灰度下降,产生边缘伪影。特别是在板状物体的计算机层析成像(CL)投影转换为等效大锥角CT投影时,利用FDK算法重建会影响重建质量。对此提出了一种基于数据重排的滤波路径变换重建算法,通过双参数组合调节投影曲面以改善大锥角重建效果,而且推导了本算法结合投影转换方法重建时的计算参数,以实现对板状物的重建。结果表明,本算法在参数相同的条件对应的滤波路径下重建效果最理想,在大锥角重建时能够抑制重建图像的灰度下降,减少边缘伪影,而且在应用于CL扫描的印制电路板重建时伪影较少,细节清晰可见。本算法可减少大锥角FDK重建的伪影,结构简便、易于实现,在板状物重建方面具有实际应用意义。Objective Computed tomography(CT)is a widely used technique for the reconstruction of the internal structure of threedimensional(3D)objects.The technique can obtain information about the interior of an object under non-contact and nondestructive conditions.Therefore,it is widely used in the fields of industry,medicine,geology,and material science.In the electronics industry,computed laminography(CL)is often used to collect projection data,so as to perform quality inspection and failure analysis of integrated circuits,multilayer printed boards,and other plate-like electronic devices.However,CL scanning causes interlayer aliasing in the reconstructed image.The current preferred method is to convert the CL projection to an equivalent CT projection with large cone angles using a projection transformation method called CL reprojection(CLRP)and then reconstruct them using the Feldkamp-Davis-Kress(FDK)algorithm.However,the FDK algorithm suffers from gray-scale degradation and edge artifacts during the reconstruction of large cone angles,which affects the reconstruction quality.In this study,we propose a filter path transformation algorithm based on data rearrangement.This algorithm can reduce the gray-scale degradation and edge artifacts of the reconstructed image during large cone angle reconstruction.In addition,we apply the algorithm to the 3D reconstruction of plate-like objects by combining it with the projection transformation method.It is expected to improve the reconstruction effect when the CL projection is converted to an equivalent CT projection with large cone angles.Methods In this study,a filter path transformation-based reconstruction algorithm was proposed and applied to the reconstruction of the plate-like object.This was achieved by converting the projection of the plate-like object acquired by CL scanning to an equivalent CT projection with large cone angles by the CLRP method,and then the proposed algorithm was applied to realize the 3D reconstruction of the plate-like object.This algorithm utilized

关 键 词：X射线光学 计算机断层扫描 三维重建 滤波路径 投影转换 

分 类 号：TP391.7[自动化与计算机技术—计算机应用技术]