Hybrid Regularized Cone-Beam Reconstruction for Axially Symmetric Object Tomography

doi:10.1007/s10473-022-0122-z

	Hybrid Regularized Cone-Beam Reconstruction for Axially Symmetric Object Tomography
	Li, Xinge 2; Wei, Suhua 2; Xu, Haibo 2; Chen, Chong 1
刊名	ACTA MATHEMATICA SCIENTIA
	2021-08-25
页码	17
关键词	high-energy X-ray radiography cone-beam global reconstruction inverse problem total variation alternating proximal gradient method
ISSN号	0252-9602
DOI	10.1007/s10473-022-0122-z
英文摘要	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.
资助项目	National Postdoctoral Program for Innovative Talents[BX201700038] ; NSFC[11675021] ; Beijing Natural Science Foundation[Z180002]
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER
WOS记录号	WOS:000688482900021
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/59205]
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.Chinese Acad Sci, LSEC, ICMSEC, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Inst Appl Phys & Computat Math, Beijing 100094, 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.