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Radial differential interior tomography and its image reconstruction with differentiated backprojection and projection onto convex sets
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10.1118/1.4812676
/content/aapm/journal/medphys/40/9/10.1118/1.4812676
http://aip.metastore.ingenta.com/content/aapm/journal/medphys/40/9/10.1118/1.4812676
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

(a) The sinogram of the modified Shepp-Logan phantom; and (b) a transaxial image reconstructed from the sinogram [display window (0 0.5) mm].

Image of FIG. 2.
FIG. 2.

Transaxial images of the Shepp-Logan phantom reconstructed from the projection data with (top) and without (bottom) lateral truncation using: (a-a′) the DBP-POCS algorithm, (b-b′) a postreconstruction radial differentiation algorithm, (c-c′) the radial differential DBP-POCS algorithm, and (d-d′) numerical derivative of the Shepp-Logan phantom [display window: (−0.1 0.1) mm in (a-a′), and (−0.1 0.1) mm in (b-b′), (c-c′), and (d-d′)].

Image of FIG. 3.
FIG. 3.

Profiles along the horizontal (left) and vertical (right) lines of the central areas in the images displayed in Figs. 2(b) ??? , 2(c) ??? , and 2(d) ??? .

Image of FIG. 4.
FIG. 4.

Transaxial images of the sheep reconstructed from the projection data without (left) and with (right lateral truncation: (a-a′) using the DBP-POCS algorithm, (a′-b′) the postreconstruction radial differentiation algorithm, and (a″-b″) the proposed radial differential DBP-POCS algorithm [display window: (0 0.5) mm in (a-a′) and (−0.02 0.02) mm in (a′-b′) and (a″-b″)].

Image of FIG. 5.
FIG. 5.

Profiles along the central horizontal (left) and vertical (right) lines of Figs. ??? ??? and ??? ??? .

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/content/aapm/journal/medphys/40/9/10.1118/1.4812676
2013-08-21
2014-04-25
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Radial differential interior tomography and its image reconstruction with differentiated backprojection and projection onto convex sets
http://aip.metastore.ingenta.com/content/aapm/journal/medphys/40/9/10.1118/1.4812676
10.1118/1.4812676
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