HYBRID REGULARIZED CONE-BEAM RECONSTRUCTION FOR AXIALLY SYMMETRIC OBJECT TOMOGRAPHY  

作　　者：Xinge LI Suhua WEI Haibo XU Chong CHEN 李兴娥;魏素花;许海波;陈冲(Institute of Applied Physics and Computational Mathematics,Beijing 100094,China;LSEC,ICMSEC,Academy of Mathematics and Systems Science,CAS,Beijing 100190,China)

机构地区：[1]Institute of Applied Physics and Computational Mathematics,Beijing 100094,China [2]LSEC,ICMSEC,Academy of Mathematics and Systems Science,CAS,Beijing 100190,China

出　　处：《Acta Mathematica Scientia》2022年第1期403-419,共17页数学物理学报（B辑英文版）

基　　金：supported by National Postdoctoral Program for Innovative Talents(BX201700038);supported by NSFC(11571003);supported by NSFC(11675021);supported by Beijing Natural Science Foundation(Z180002)。

摘　　要：In this paper,we consider 3 D tomographic reconstruction for axially symmetric objects from a single radiograph formed by cone-beam X-rays.All contemporary density reconstruction methods in high-energy X-ray radiography are based on the assumption that the cone beam can be treated as fan beams located at parallel planes perpendicular to the symmetric axis,so that the density of the whole object can be recovered layer by layer.Considering the relationship between different layers,we undertake the cone-beam global reconstruction to solve the ambiguity effect at the material interfaces of the reconstruction results.In view of the anisotropy of classical discrete total variations,a new discretization of total variation which yields sharp edges and has better isotropy is introduced in our reconstruction model.Furthermore,considering that the object density consists of continually changing parts and jumps,a high-order regularization term is introduced.The final hybrid regularization model is solved using the alternating proximal gradient method,which was recently applied in image processing.Density reconstruction results are presented for simulated radiographs,which shows that the proposed method has led to an improvement in terms of the preservation of edge location.

关 键 词：high-energy X-ray radiography cone-beam global reconstruction inverse problem total variation alternating proximal gradient method 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]