Acta Optica Sinica, Volume. 39, Issue 7, 0711001(2019)
Limited-Angle Computed Tomography Reconstruction Based on Mojette Minimal Redundancy Coverage in Frequency Domain
[1] Katz M B. Questions of uniqueness and resolution in reconstruction from projections[M]. Berlin, Heidelberg: Springer(1978).
[2] Herman G T. Image reconstruction from projections implementation and applications[M]. New York: Springer-Verlag(1979).
[4] Servières M, Idier J, Normand N et al. Conjugate gradient Mojette reconstruction[J]. Proceedings of SPIE, 5747, 2067-2075(2005).
[5] Normand N, Kingston A, Évenou P. A geometry driven reconstruction algorithm for the Mojette transform[M]. //Kuba A, Nyúl L G, Palágyi K. Discrete geometry for computer imagery. Lecture notes in computer science. Berlin, Heidelberg: Springer, 4245, 122-133(2006).
[6] Svalbe I, Kingston A, Normand N et al. Back-Projection filtration inversion of discrete projections[M]. //Barcucci E, Frosini A, Rinaldi S. Advanced information systems engineering. Berlin, Heidelberg: Springer, 238-249(2014).
[7] Kingston A, Heyang L, Normand N et al. Fourier inversion of the Mojette transform[M]. //Barcucci E, Frosini A, Rinaldi S. Discrete geometry for computer imagery. Lecture notes in computer science. Cham: Springer, 8668, 275-284(2014).
[10] Zhang H M. Computed tomography image reconstruction with incomplete projection data[D]. Zhengzhou: PLA Information Engineering University, 13-15(2017).
[11] Hsung T C. Lun D P K, Siu W C. The discrete periodic Radon transform[J]. IEEE Transactions on Signal Processing, 44, 2651-2657(1996).
[12] Hou W, Zhang C S. Parallel-beam CT reconstruction based on Mojette transform and compressed sensing[J]. International Journal of Computer and Electrical Engineering, 83-87(2013).
[16] Zeng L, Wang C X. Error bounds and stability in the l0 regularized for CT reconstruction from small projections[J]. Inverse Problems and Imaging, 10, 829-853(2016).
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Min Jiang, Zhiping Qu, Yi Sun. Limited-Angle Computed Tomography Reconstruction Based on Mojette Minimal Redundancy Coverage in Frequency Domain[J]. Acta Optica Sinica, 2019, 39(7): 0711001
Category: Imaging Systems
Received: Jan. 25, 2019
Accepted: Mar. 21, 2019
Published Online: Jul. 11, 2019
The Author Email: Sun Yi (lslwf@dlut.edu.cn)