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Chin. Phys. B, 2015, Vol. 24(10): 108702    DOI: 10.1088/1674-1056/24/10/108702
INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY Prev   Next  

Investigation of noise properties in grating-based x-ray phase tomography with reverse projection method

Bao Yuana b, Wang Yanb, Gao Kuna, Wang Zhi-Lia, Zhu Pei-Pinga b, Wu Zi-Yua b
a National Synchrotron Radiation Laboratory, University of Science and Technology of China, Hefei 230026, China;
b Institute of High Energy Physics, Chinese Academy of Science, Beijing 100049, China
Abstract  

The relationship between noise variance and spatial resolution in grating-based x-ray phase computed tomography (PCT) imaging is investigated with reverse projection extraction method, and the noise variances of the reconstructed absorption coefficient and refractive index decrement are compared. For the differential phase contrast method, the noise variance in the differential projection images follows the same inverse-square law with spatial resolution as in conventional absorption-based x-ray imaging projections. However, both theoretical analysis and simulations demonstrate that in PCT the noise variance of the reconstructed refractive index decrement scales with spatial resolution follows an inverse linear relationship at fixed slice thickness, while the noise variance of the reconstructed absorption coefficient conforms with the inverse cubic law. The results indicate that, for the same noise variance level, PCT imaging may enable higher spatial resolution than conventional absorption computed tomography (ACT), while ACT benefits more from degraded spatial resolution. This could be a useful guidance in imaging the inner structure of the sample in higher spatial resolution.

Keywords:  x-ray imaging      noise variance      spatial resolution      computed tomography (CT)     
Received:  13 February 2015      Published:  05 October 2015
PACS:  87.59.-e (X-ray imaging)  
  42.30.Rx (Phase retrieval)  
  87.57.Q- (Computed tomography)  
  41.50.+h (X-ray beams and x-ray optics)  
Fund: 

Project supported by the National Basic Research Program of China (Grant No. 2012CB825800), the Science Fund for Creative Research Groups, the Knowledge Innovation Program of the Chinese Academy of Sciences (Grant Nos. KJCX2-YW-N42 and Y4545320Y2), the National Natural Science Foundation of China (Grant Nos. 11475170, 11205157, 11305173, 11205189, 11375225, 11321503, 11179004, and U1332109).

Corresponding Authors:  Bao Yuan, Zhu Pei-Ping     E-mail:  baoyuan@mail.ustc.edu.cn;zhupp@ihep.ac.cn

Cite this article: 

Bao Yuan, Wang Yan, Gao Kun, Wang Zhi-Li, Zhu Pei-Ping, Wu Zi-Yu Investigation of noise properties in grating-based x-ray phase tomography with reverse projection method 2015 Chin. Phys. B 24 108702

[1] Momose A, Yashiro W, Kido K, Kiyohara J, Makifuchi C, Ito T, Nagatsuka S, Honda C, Noda D, Hattori T, Endo T, Nagashima M and Tanaka J 2014 Phil. Trans. R. Soc. A 372 20130023
[2] Weitkamp T, Diaz A, David C, Pfeiffer F, Stampanoni M, Cloetens P and Ziegler E 2005 Opt. Express 13 6296
[3] Zhu P P, Zhang K, Wang Z L, Liu Y J, Liu X S, Wu Z Y, Mcdonald S A, Marone F and Stampanoni M 2010 Proc. Natl. Acad. Sci. USA 107 13576
[4] Momose A, Yashiro W, Kuwabara H and Kawabata K 2009 Jpn. J. Appl. Phys. 48 076512
[5] Pfeiffer F, Bech M, Bunk O, Kraft P, Eikenberry E F, Bronnimann C, Grunzweig C and David C 2008 Nat. Mater. 7 134
[6] Huang Z F, Chen Z Q, Zhang L, Kang K J, Ding F, Wang Z T and Ma H Z 2010 Opt. Express 18 10222
[7] Wang D J, Wang Z L, Gao K, Ge X, Wu Z, Zhu P P and Wu Z Y 2014 Radiat. Phys. Chem. 95 86
[8] Pfeiffer F, Bech M, Bunk O, Donath T, Henrich B, Kraft P and David C 2009 J. Appl. Phys. 105 102006
[9] Munro P R T, Ignatyev K, Speller R D and Olivo A 2011 Nucl. Instrum. Methods Phys. Res. Sect. A-Accel. Spectrom. Dect. Assoc. Equip. 652 824
[10] Olivo A, Gkoumas S, Endrizzi M, Hagen C K, Szafraniec M B, Diemoz P C, Munro P R T, Ignatyev K, Johnson B, Horrocks J A, Vinnicombe S J, Jones J L and Speller R D 2013 Med. Phys. 40 090701
[11] Wang Z T, Huang Z F, Chen Z G, Zhang L, Jiang X L, Kang K J, Yin H X, Wang Z C and Stampanon M 2011 Nucl. Instrum. Methods Phys. Res. Sect. A-Accel. Spectrom. Dect. Assoc. Equip. 635 103
[12] Wang Z T, Kang K J, Huang Z F and Chen Z Q 2009 Appl. Phys. Lett. 95 094105
[13] Cong W X, Momose A and Wang G 2012 Opt. Lett. 37 1784
[14] Momose A, Harasse S, Kibayashi S, Olbinado M P and Yashiro W 2012 Conference on Developments in x-Ray Tomography VIII, August 13-15, 2012, San Diego, CA, USA, p. 850603
[15] Bevins N B, Zambelli J N, Li K and Chen G H 2012 International Workshop on x-ray and Neutron Phase Imaging with Gratings (XNPIG) March 5-7, 2012 Tokyo, Japan, p. 169
[16] Pfeiffer F, Weitkamp T, Bunk O and David C 2006 Nat. Phys. 2 258
[17] Yashiro W and Momose A 2014 Jpn. J. Appl. Phys. 53
[18] Zhu P P, Zhu Z Z, Hong Y L, Zhang K, Huang W X, Yuan Q X, Zhao X J, Ju Z Q, Wu Z Y, Wei Z, Wiebe S and Chapman L D 2014 Appl. Opt. 53 861
[19] Ju Z Q, W Y, Bao Y, Li P Y, Zhu Z Z, Zhang K, Huang W X, Yuan Q X, Zhu P P and Wu Z Y 2014 Acta Phys. Sin. 63 078701 (in Chinese)
[20] Hao Y, Xuan R J, Hu C H and Duan J H 2014 Chin. Phys. B 23 048701
[21] Momose A, Kawamoto S, Koyama I, Hamaishi Y, Takai K and Suzuki Y 2003 Jpn. J. Appl. Phys. 42 L866
[22] Zhang X D, Xia C J, Xiao X H and Wang Y J 2014 Chin. Phys. B 23 044501
[23] Wang Z T, Zhang L, Huang Z F, Kang K J, Chen Z Q, Fang Q G and Zhu P P 2009 Chin. Phys. C 33 975
[24] Bevins N, Zambelli J, Qi Z H and Chen G H 2010 Medical Imaging 2010: Physics of Medical Imaging, February 15-18, 2010, San Diego, CA, USA, p. 7622
[25] Huang Z F, Wang Z T, Zhang L, Chen Z G and Kang K J 2009 IEEE Nuclear Science Symposium and Medical Imaging Conference (NSS/MIC 2009), October 23-25, 2009, Orlando, FL, USA, p. 2347
[26] Huang K D, Zhang H, Shi Y K, Zhang L and Xu Z 2014 Chin. Phys. B 23 98106
[27] Wu Z, Wang Z L, Gao K, Wang D J, Wang S H, Chen J, Chen H, Zhang K, Zhu P P and Wu Z Y 2014 J. Electron Spectrosc. Relat. Phenom. 196 75
[28] Li K, Bevins N, Zambelli J and Chen G H 2013 Med. Phys. 40 021908
[29] Weber T, Bartl P, Bayer F, Durst J, Haas W, Michel T, Ritter A and Anton G 2011 Med. Phys. 38 4133
[30] Kohler T, Engel K J and Roessl E 2011 Med. Phys. 38 S106
[31] Ito K, Kawamoto K and Momiji H 1996 J. Opt. Soc. Am. B-Opt. Phys. 13 1188
[32] Weber T, Pelzer G, Bayer F, Horn F, Rieger J, Ritter A, Zang A, Durst J, Anton G and Michel T 2013 Opt. Express 21 18011
[33] Revol V, Kottler C, Kaufmann R, Straumann U and Urban C 2010 Rev. Sci. Instrum. 81 073709
[34] Weber T, Bartl P, Durst J, HaasW, Michel T, Ritter A and Anton G 2011 Nucl. Instrum. Methods Phys. Res. Sect. A-Accel. Spectrom. Dect. Assoc. Equip. 648 S273
[35] Raupach R and Flohr T G 2011 Phys. Med. Biol. 56 2219
[36] Huang J H, Du Y, Lei Y H, Liu X, Guo J C and Niu H B 2014 Acta Phys. Sin. 63 168702 (in Chinese)
[37] Chen G H, Zambelli J, Li K, Bevins N and Qi Z H 2011 Med. Phys. 38 584
[38] Raupach R and Flohr T 2012 Med. Phys. 39 4761
[39] Oppelt A 2005 Imaging systems for medical diagnostics (Erlangen: Publicis MCD) pp. 216-223 ISBN: 978-3-89578-226-8
[40] Suetens P 2009 Fundamentals of medical imaging (Cambridge: Cambridge University Press), pp. 49-52
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