Please wait a minute...
Chin. Phys. B, 2023, Vol. 32(2): 028701    DOI: 10.1088/1674-1056/ac685d

Analysis of refraction and scattering image artefacts in x-ray analyzer-based imaging

Li-Ming Zhao(赵立明)1, Tian-Xiang Wang(王天祥)1, Run-Kang Ma(马润康)1, Yao Gu(顾瑶)1, Meng-Si Luo(罗梦丝)1, Heng Chen(陈恒)1, Zhi-Li Wang(王志立)1,†, and Xin Ge(葛昕)2
1 Department of Optical Engineering, School of Physics, Hefei University of Technology, Anhui 230009, China;
2 Institute of Biomedical Engineering, Shenzhen Bay Laboratory, Shenzhen 518067, China
Abstract  X-ray analyzer-based imaging (ABI) is a powerful phase-sensitive technique that can provide a wide dynamic range of density and extract useful physical properties of the sample. It derives contrast from x-ray absorption, refraction, and scattering properties of the investigated sample. However, x-ray ABI setups can be susceptible to external vibrations, and mechanical imprecisions of system components, e.g., the precision of motor, which are unavoidable in practical experiments. Those factors will provoke deviations of analyzer angular positions and hence errors in the acquired image data. Consequently, those errors will introduce artefacts in the retrieved refraction and scattering images. These artefacts are disadvantageous for further image interpretation and tomographic reconstruction. For this purpose, this work aims to analyze image artefacts resulting from deviations of analyzer angular positions. Analytical expressions of the refraction and scattering image artefacts are derived theoretically and validated by synchrotron radiation experiments. The results show that for the refraction image, the artefact is independent of the sample's absorption and scattering signals. By contrast, artefact of the scattering image is dependent on both the sample's refraction and scattering signals, but not on absorption signal. Furthermore, the effect of deviations of analyzer angular positions on the accuracy of the retrieved images is investigated, which can be of use for optimization of data acquisition. This work offers the possibility to develop advanced multi-contrast image retrieval algorithms that suppress artefacts in the retrieved refraction and scattering images in x-ray analyzer-based imaging.
Keywords:  x-ray imaging      analyzer-based imaging      image artefacts  
Received:  21 January 2022      Revised:  06 April 2022      Accepted manuscript online:  20 April 2022
PACS:  87.59.-e (X-ray imaging)  
  42.30.Va (Image forming and processing)  
  87.57.N- (Image analysis)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. U1532113, 11475170, and 11905041), the Fundamental Research Funds for the Central Universities (Grant No. PA2020GDKC0024), and Anhui Provincial Natural Science Foundation, China (Grant No. 2208085MA18).
Corresponding Authors:  Zhi-Li Wang     E-mail:

Cite this article: 

Li-Ming Zhao(赵立明), Tian-Xiang Wang(王天祥), Run-Kang Ma(马润康), Yao Gu(顾瑶), Meng-Si Luo(罗梦丝), Heng Chen(陈恒), Zhi-Li Wang(王志立), and Xin Ge(葛昕) Analysis of refraction and scattering image artefacts in x-ray analyzer-based imaging 2023 Chin. Phys. B 32 028701

[1] Momose A and Fukuda J 1995 Med. Phys. 22 375
[2] Momose A, Yoneyama A and Hirano K 1997 J. Synchrotron Radiat. 4 311
[3] Davis T J, Gureyev T E, Stevenson A W, Wilkins S W and Gao D 1995 Nature 373 595
[4] Ingal V N and Beliaevskaya E A 1995 J. Phys. D 28 2314
[5] Chapman D, Thomlinson W, Johnston R E, Washburn D, Pisano E, Gmür N, Zhong Z, Menk R, Arfelli F and Sayers D 1997 Phys. Med. Biol. 42 2015
[6] Chen H, Liu B, Zhao L M, Ren K and Wang Z L 2021 Chin. Phys. B 30 18701
[7] Burvall A, Lundström U, Takman P, Larsson D H and Hertz H M 2011 Opt. Express 19 10359
[8] Weitkamp T, Diaz A, David C, Pfeiffer F and Ziegler E 2005 Opt. Express 13 6296
[9] Pfeiffer F, Weitkamp T, Bunk O and David C 2006 Nat. Phys. 2 258
[10] Pfeiffer F, Bech M, Bunk O, Kraft P, Eikenberry E F, BroNnimann C, Grünzweig C and David C 2008 Nat. Mater. 7 134
[11] Yashiro W, Terui Y, Kawabata K and Momose A 2010 Opt. Express 18 16890
[12] Ge X, Wang Z L, Gao K, Zhang K, Hong Y L, Wang D J, Zhu Z Z, Zhu P P and Wu Z Y 2011 Anal. Bioanal. Chem. 401 865
[13] Wang Z L, Gao K, Chen J, Ge X, Zhu P P, Tian Y C and Wu Z Y 2012 Chin. Phys. B 21 118703
[14] Wang Z L, Gao K, Ge X, Wu Z, Chen H, Wang S H, Zhu P P, Yuan Q X, Huang W X, Zhang K and Wu Z Y 2013 J. Phys. D 46 494003
[15] Olivo A, Arfelli F, Cantatore G, Longo R, Menk R H, Pani S, Prest M, Poropat P, Rigon L and Tromba G 2001 Med. Phys. 28 1610
[16] Diemoz P C, Bravin A, Sztrókay-Gaul A, Ruat M, Grandl S, Mayr D, Auweter S, Mittone A, Brun E, Ponchut C, Reiser M F, Coan P and Olivo A 2016 Phys. Med. Biol. 61 8750
[17] Izadifar Z, Honaramooz A, Wiebe S, Belev G, Chen X and Chapman D 2016 Biomaterials 82 151
[18] Aulakh G K, Mann A, Belev G, Wiebe S, Kuebler W M, Singh B and Chapman D 2017 Phys. Med. Biol. 63 015009
[19] Müeller B R, Cooper R C, Lange A, Kupsch A, Wheeler M, Hentschel M P, Staude A, Pandey A, Shyam A and Bruno G 2018 Acta Mater. 144 627
[20] Laquai R, Müller B R, Kasperovich G, Haubrich J, Requena G and Bruno G 2018 Mater. Res. Lett. 6 130
[21] Kitchen M J, Buckley G A, Kerr L T, Lee K L and Hooper S B 2020 Biomed. Opt. Express 11 4176
[22] Takeya S, Nakano K, Thammawong M, Umeda H, Yoneyama A, Takeda T, Hyodo K and Matsuo S 2016 Food. Chem. 205 122
[23] Bravin A, Coan P and Suortti P 2013 Phys. Med. Biol. 58 R1
[24] Diemoz P C, Coan P, Glaser C and Bravin A 2010 Opt. Express 18 3494
[25] Pagot E, Cloetens P, Fiedler S, Bravin A and Thomlinson W 2003 Appl. Phys. Lett. 82 3421
[26] Wernick M N, Wirjadi O, Chapman D, Zhong Z, Galatsanos N P, Yang Y, Brankov J G, Oltulu O, Anastasio M A and Muehleman C 2003 Phys. Med. Biol. 48 3875
[27] Nesterets Y I, Coan P, Gureyev T E, Bravin A, Cloetens P and Wilkins S 2006 Acta. Crys. A62 296
[28] Rigon L, Arfelli F and Menk R H 2007 Appl. Phys. Lett. 90 114102
[29] Majidi K, Li J, Muehleman C and Brankov J G 2014 Phys. Med. Biol. 59 1877
[30] Bao Y, Wang Y, Li P Y, Wu Z, Shao Q G, Gao K, Wang Z L, Ju Z Q, Zhang K, Yuan Q X, Huang W X, Zhu P P and Wu Z Y 2015 J. Synchrotron Radiat. 22 786
[31] Arfelli F, Astolfo A, Rigon L and Menk R H 2018 Sci. Rep. 8 362
[32] Wang Z L, Liu D L, Zhang J, Huang W X, Yuan Q X, Gao K and Wu Z 2018 J. Synchrotron Radiat. 25 1206
[33] Yoneyama A, Lwin T T and Kawamoto M 2020 J. Synchrotron Radiat. 27 468
[34] Christian H, Martino L, Georg P, Marcus R, Thomas W, Thomas M, Gisela A and Ludwig R 2017 Opt. Express 25 32897
[35] Fabio D M, Mathias M, Lorenz B, Peter N, Julia H and Franz P 2018 Opt. Express 26 12707
[36] Chapman D, Nesch I, Hasnah M O and Morrison T I 2006 Nucl. Instrum. Methods Phys. Res. A Accel. Spectrom. Detect. Assoc. Equip. 562 461
[37] Vine D J, Paganin D M, Pavlov K M, Kräußlich J, Wehrhan O, Uschmann I and Förster E 2007 Appl. Phys. Lett. 91 254110
[38] Nesch I, Fogarty D P, Tzvetkov T, Reinhart B, Walus A C, Khelashvili G, Muehleman C and Chapman D 2009 Rev. Sci. Instrum. 80 093702
[39] Khelashvili G, Brankov J G, Chapman D, Anastasio M A, Yang Y, Zhong Z and Wernick M N 2006 Phys. Med. Biol. 51 221
[40] Yang H, Xuan R J, Hu C H and Duan J H 2014 Chin. Phys. B 23 048701
[41] Yuan Q X, Zhang K, Hong Y L, Huang W X, Gao K, Wang Z L, Zhu P P, Gelb J, Tkachuk A, Hornberger B, Feser M, Yun W B and Wu Z Y 2012 J. Synchrotron Radiat. 19 1021
[1] Investigations of moiré artifacts induced by flux fluctuations in x-ray dark-field imaging
Zhi-Li Wang(王志立), Zi-Han Chen(陈子涵), Yao Gu(顾瑶), Heng Chen(陈恒), and Xin Ge(葛昕). Chin. Phys. B, 2023, 32(3): 038704.
[2] Efficient implementation of x-ray ghost imaging based on a modified compressive sensing algorithm
Haipeng Zhang(张海鹏), Ke Li(李可), Changzhe Zhao(赵昌哲), Jie Tang(汤杰), and Tiqiao Xiao(肖体乔). Chin. Phys. B, 2022, 31(6): 064202.
[3] Quantitative coherence analysis of dual phase grating x-ray interferometry with source grating
Zhi-Li Wang(王志立), Rui-Cheng Zhou(周瑞成), Li-Ming Zhao(赵立明), Kun Ren(任坤), Wen Xu(徐文), Bo Liu(刘波), and Heng Chen(陈恒). Chin. Phys. B, 2021, 30(2): 028702.
[4] Retrieval of multiple scattering contrast from x-ray analyzer-based imaging
Heng Chen(陈恒), Bo Liu(刘波), Li-Ming Zhao(赵立明), Kun Ren(任坤), and Zhi-Li Wang(王志立). Chin. Phys. B, 2021, 30(1): 018701.
[5] Biases of estimated signals in x-ray analyzer-based imaging
Jianlin Xia(夏健霖), Wen Xu(徐文), Ruicheng Zhou(周瑞成), Xiaomin Shi(石晓敏), Kun Ren(任坤), Heng Chen(陈恒), Zhili Wang(王志立). Chin. Phys. B, 2020, 29(6): 068703.
[6] Nanofabrication of 50 nm zone plates through e-beam lithography with local proximity effect correction for x-ray imaging
Jingyuan Zhu(朱静远), Sichao Zhang(张思超), Shanshan Xie(谢珊珊), Chen Xu(徐晨), Lijuan Zhang(张丽娟), Xulei Tao(陶旭磊), Yuqi Ren(任玉琦), Yudan Wang(王玉丹), Biao Deng(邓彪), Renzhong Tai(邰仁忠), Yifang Chen(陈宜方). Chin. Phys. B, 2020, 29(4): 047501.
[7] Theory and method of dual-energy x-ray grating phase-contrast imaging
Feng Rong(荣锋), Yan Gao(高艳), Cui-Juan Guo(郭翠娟), Wei Xu(徐微), Wei Xu(徐伟). Chin. Phys. B, 2019, 28(10): 108702.
[8] Shifting curves based on the detector integration effect for x-ray phase contrast imaging
Jun Yang(杨君), Jin-Chuan Guo(郭金川), Yao-Hu Lei(雷耀虎), Ming-Hao Yi(易明皓), Li Chen(陈力). Chin. Phys. B, 2017, 26(2): 028701.
[9] Simple phase extraction in x-ray differential phase contrast imaging
Xin Liu(刘鑫), Jin-Chuan Guo(郭金川), Yao-Hu Lei(雷耀虎), Ji Li(李冀), Han-Ben Niu(牛憨笨). Chin. Phys. B, 2016, 25(2): 028704.
[10] Elemental x-ray imaging using Zernike phase contrast
Qi-Gang Shao(邵其刚), Jian Chen(陈健), Faiz Wali, Yuan Bao(鲍园), Zhi-Li Wang(王志立), Pei-Ping Zhu(朱佩平), Yang-Chao Tian(田扬超), Kun Gao(高昆). Chin. Phys. B, 2016, 25(10): 108702.
[11] Experimental research on the feature of an x-ray Talbot-Lau interferometer versus tube accelerating voltage
Wang Sheng-Hao (王圣浩), Margie P. Olbinado, Atsushi Momose, Han Hua-Jie (韩华杰), Hu Ren-Fang (胡仁芳), Wang Zhi-Li (王志立), Gao Kun (高昆), Zhang Kai (张凯), Zhu Pei-Ping (朱佩平), Wu Zi-Yu (吴自玉). Chin. Phys. B, 2015, 24(6): 068703.
[12] Cosine fitting radiography and computed tomography
Li Pan-Yun (李盼云), Zhang Kai (张凯), Huang Wan-Xia (黄万霞), Yuan Qing-Xi (袁清习), Wang Yan (王研), Ju Zai-Qiang (鞠在强), Wu Zi-Yu (吴自玉), Zhu Pei-Ping (朱佩平). Chin. Phys. B, 2015, 24(6): 068704.
[13] Investigation of noise properties in grating-based x-ray phase tomography with reverse projection method
Bao Yuan (鲍园), Wang Yan (王研), Gao Kun (高昆), Wang Zhi-Li (王志立), Zhu Pei-Ping (朱佩平), Wu Zi-Yu (吴自玉). Chin. Phys. B, 2015, 24(10): 108702.
[14] Improvement and error analysis of quantitative information extraction in diffraction-enhanced imaging
Yang Hao (杨浩), Xuan Rui-Jiao (轩瑞娇), Hu Chun-Hong (胡春红), Duan Jing-Hao (段敬豪). Chin. Phys. B, 2014, 23(4): 048701.
[15] Fast synchrotron X-ray tomography study of the packing structures of rods with different aspect ratios
Zhang Xiao-Dan (张晓丹), Xia Cheng-Jie (夏成杰), Xiao Xiang-Hui (肖相辉), Wang Yu-Jie (王宇杰). Chin. Phys. B, 2014, 23(4): 044501.
No Suggested Reading articles found!