Acta Optica Sinica, Volume. 42, Issue 11, 1134025(2022)
Analytical Reconstruction for Source Translation Scanning Computed Tomography Based on Derivative-Hilbert Transform-Back projection
[1] Withers P J, Bouman C, Carmignato S et al. X-ray computed tomography[J]. Nature Reviews Methods Primers, 1, 18(2021).
[2] Cai Y F, Chen T Y, Wang J et al. Image noise reduction in computed tomography with non-local means algorithm based on adaptive filtering coefficients[J]. Acta Optica Sinica, 40, 0710001(2020).
[3] Cnudde V, Boone M N. High-resolution X-ray computed tomography in geosciences: a review of the current technology and applications[J]. Earth-Science Reviews, 123, 1-17(2013).
[4] du Plessis A, Broeckhoven C, Guelpa A et al. Laboratory X-ray micro-computed tomography: a user guideline for biological samples[J]. GigaScience, 6, 1-11(2017).
[5] Brancaccio R, Bettuzzi M, Casali F et al. Real-time reconstruction for 3-D CT applied to large objects of cultural heritage[J]. IEEE Transactions on Nuclear Science, 58, 1864-1871(2011).
[6] Louis L, Wong T F, Baud P. Imaging strain localization by X-ray radiography and digital image correlation: deformation bands in Rothbach sandstone[J]. Journal of Structural Geology, 29, 129-140(2007).
[7] Schmidt T G, Fahrig R, Pelc N J et al. An inverse-geometry volumetric CT system with a large-area scanned source: a feasibility study[J]. Medical Physics, 31, 2623-2627(2004).
[8] Wang G. X-ray micro-CT with a displaced detector array[J]. Medical Physics, 29, 1634-1636(2002).
[9] Zhao F, Lu H N, Sun C L. New scan mode for 2D-CT and its reconstruction algorithm[J]. Optical Technique, 32, 284-286, 289(2006).
[10] Fu J, Lu H N, Li B et al. X-CT imaging method for large objects using double offset scan mode[J]. Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, 575, 519-523(2007).
[11] Zhang H T, Chen M, Zhang P. A new CT scanning mode and reconstruction formula for the region of interest[J]. Progress in Natural Science, 17, 1589-1594(2007).
[12] Chen M, Zhang H T, Zhang P. BPF-based reconstruction algorithm for multiple rotation-translation scan mode[J]. Progress in Natural Science, 18, 209-216(2008).
[13] Yu H J, Li L, Tan C D et al. X-ray source translation based computed tomography (STCT)[J]. Optics Express, 29, 19743-19758(2021).
[14] Luo T, Zhao Y S. An acceleration algorithm for dual-spectral computed tomography reconstruction[J]. Acta Optica Sinica, 40, 1411001(2020).
[15] Smith B D, Singh T. Fan-beam reconstruction from a straight line of source points[J]. IEEE Transactions on Medical Imaging, 12, 10-18(1993).
[16] Wu W W, Quan C, Liu F L. Filtered back-projection image reconstruction algorithm for opposite parallel linear CT scanning[J]. Acta Optica Sinica, 36, 0911009(2016).
[17] Li L, Tan C D, Liao M J et al. Analytic reconstruction for parallel translational computed tomography based on Radon inverse transform[J]. Acta Optica Sinica, 41, 0611003(2021).
[18] Ma C X, Hu J J, Yan B. Optimization of fan-beam CT filtered backprojection reconstruction algorithm[J]. Laser & Optoelectronics Progress, 49, 091103(2012).
[19] Cooley J W. Lewis P A W, Welch P D. The fast Fourier transform and its applications[J]. IEEE Transactions on Education, 12, 27-34(1969).
[20] Zheng S Z, Kang X Y. Dirac δ-function and its related applications[J]. College Physics, 40, 25-29, 77(2021).
[21] Zeng G S[M]. Medical image reconstruction(2010).
[22] Yan B, Li L[M]. CT image reconstruction algorithm(2014).
[23] Parker D L. Optimal short scan convolution reconstruction for fan beam CT[J]. Medical Physics, 9, 254-257(1982).
[24] Wesarg S, Ebert M, Bortfeld T. Parker weights revisited[J]. Medical Physics, 29, 372-378(2002).
[25] Zhang T, Xing Y X, Zhang L et al. Stationary computed tomography with source and detector in linear symmetric geometry: direct filtered backprojection reconstruction[J]. Medical Physics, 47, 2222-2236(2020).
[26] Chai T, Draxler R R. Root mean square error (RMSE) or mean absolute error (MAE)?-arguments against avoiding RMSE in the literature[J]. Geoscientific Model Development, 7, 1247-1250(2014).
[27] Huynh-Thu Q, Ghanbari M. Scope of validity of PSNR in image/video quality assessment[J]. Electronics Letters, 44, 800-801(2008).
[28] Wang Z, Bovik A C, Sheikh H R et al. Image quality assessment: from error visibility to structural similarity[J]. IEEE Transactions on Image Processing, 13, 600-612(2004).
[29] Oppenheim A V, Willsky A S, Nawab S H et al. Signals & systems[M]. London: Pearson Education, 123-141(1997).
[30] Zeng G L. Nonuniform noise propagation by using the ramp filter in fan-beam computed tomography[J]. IEEE Transactions on Medical Imaging, 23, 690-695(2004).
[31] You J S, Zeng G L. Hilbert transform based FBP algorithm for fan-beam CT full and partial scans[J]. IEEE Transactions on Medical Imaging, 26, 190-199(2007).
[32] Zeng G L. Image reconstruction: applications in medical sciences[M]. Berlin: Walter de Gruyter GmbH & Co KG, 59-61(2017).
Get Citation
Copy Citation Text
Wenjie Ge, Haijun Yu, jie Chen, Song Ni, Fenglin Liu. Analytical Reconstruction for Source Translation Scanning Computed Tomography Based on Derivative-Hilbert Transform-Back projection[J]. Acta Optica Sinica, 2022, 42(11): 1134025
Category: X-Ray Optics
Received: Nov. 19, 2021
Accepted: Jan. 13, 2022
Published Online: Jun. 3, 2022
The Author Email: Liu Fenglin (liufl@cqu.edu.cn)