Low-density tissue scaffold imaging by synchrotron radiation propagation-based imaging computed tomography with helical acquisition mode

Duan, X.; Li, N.; Cooper, D.M.L.; Ding, X.F.; Chen, X.; Zhu, N.

doi:10.1107/S1600577523000772

Journal of Synchrotron Radiation Journal of
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Figure 3
Schematic of virtual projection stitching of SR-PBI-CT from SR-PBI-HCT projections. I_i,j,k and $[{\hat I_{i^{\,\prime},\,j^{\,\prime},\,k^{\,\prime}}}]$ are the gray value of the SR-PBI-HCT projection and the gray value of the converted virtual SR-PBI-CT projection at the positions (i, j, k) and (i′, j′, k′), respectively. i and i′ are the row indexes, j and j′ are the column indexes, and k and k′ are the projection indexes. $[{\hat I_{i^{\,\prime},\,j^{\,\prime},\,k^{\,\prime}}}]$ is the linear interpolation result of I_{i, j, k} and I_i+1,j,k with a weight of 1 − w and w. The virtual SR-PBI-CT projection at an index of k′ is transformed from a sequence of SR-PBI-HCT projections at index of k, k + N_p/2,…, k + (2N_R − 1)N_p/2 with an interval of N_p/2. The total row M of the SR-PBI-HCT projection is $[\lfloor h_{\rm FOV}/d \rfloor]$ while the total row M′ of the virtual SR-PBI-CT projection is $[\lfloor N_{\rm R}(s_{\rm v}/t)+ (h_{\rm FOV}/d)\rfloor]$ . mod(·,·) denotes the modulo operator.

JOURNAL OF
SYNCHROTRON
RADIATION

ISSN: 1600-5775

Volume 30| Part 2| March 2023| Pages 417-429

https://doi.org/10.1107/S1600577523000772

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