Hybrid Regularized Cone-Beam Reconstruction for Axially Symmetric Object Tomography

doi:10.1007/s10473-022-0122-z

CSpace

	Hybrid Regularized Cone-Beam Reconstruction for Axially Symmetric Object Tomography
	Li, Xinge 1; Wei, Suhua 1; Xu, Haibo 1; Chen, Chong 2
	2021-08-25
发表期刊	ACTA MATHEMATICA SCIENTIA
ISSN	0252-9602
页码	17
摘要	In this paper, we consider 3D 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
DOI	10.1007/s10473-022-0122-z
收录类别	SCI
语种	英语
资助项目	National Postdoctoral Program for Innovative Talents[BX201700038] ; NSFC[11675021] ; Beijing Natural Science Foundation[Z180002]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000688482900021
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/59206
专题	中国科学院数学与系统科学研究院
通讯作者	Chen, Chong
作者单位	1.Inst Appl Phys & Computat Math, Beijing 100094, Peoples R China 2.Chinese Acad Sci, LSEC, ICMSEC, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Li, Xinge,Wei, Suhua,Xu, Haibo,et al. Hybrid Regularized Cone-Beam Reconstruction for Axially Symmetric Object Tomography[J]. ACTA MATHEMATICA SCIENTIA,2021:17.
APA	Li, Xinge,Wei, Suhua,Xu, Haibo,&Chen, Chong.(2021).Hybrid Regularized Cone-Beam Reconstruction for Axially Symmetric Object Tomography.ACTA MATHEMATICA SCIENTIA,17.
MLA	Li, Xinge,et al."Hybrid Regularized Cone-Beam Reconstruction for Axially Symmetric Object Tomography".ACTA MATHEMATICA SCIENTIA (2021):17.