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Chin. Phys. B, 2015, Vol. 24(10): 108702    DOI: 10.1088/1674-1056/24/10/108702

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

Bao Yuan (鲍园)a b, Wang Yan (王研)b, Gao Kun (高昆)a, Wang Zhi-Li (王志立)a, Zhu Pei-Ping (朱佩平)a b, Wu Zi-Yu (吴自玉)a 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

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      Revised:  24 April 2015      Accepted manuscript online: 
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)  

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:;

Cite this article: 

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) Investigation of noise properties in grating-based x-ray phase tomography with reverse projection method 2015 Chin. Phys. B 24 108702

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