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Geometrical and Monte Carlo projectors in 3D PET reconstruction
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10.1118/1.3501884
/content/aapm/journal/medphys/37/11/10.1118/1.3501884
http://aip.metastore.ingenta.com/content/aapm/journal/medphys/37/11/10.1118/1.3501884

Figures

Image of FIG. 1.
FIG. 1.

S-RT (a) and OD-RT (b). The grayscale is proportional to the detection probability of positron emission in various voxels for a given bin. In (a), the probability is calculated as the length of intersection between the LOR and the voxel (S-RT); in (b), as one minus the normalized perpendicular distance from the voxel to the LOR (OD-RT) [see Eq. (5)].

Image of FIG. 2.
FIG. 2.

A 2D description of different multiray schemes and the subsampled bins for S-RT, the conventional Siddon approach (a), subsampled 4 parallel rays, S-RT-SS4 (b), and subsampled 16 parallel and crossed rays, S-RT-SS16 (c).

Image of FIG. 3.
FIG. 3.

Modeling of the intrinsic detector response by sampling a linear function (solid line) and a Gaussian blurring (dashed line).

Image of FIG. 4.
FIG. 4.

Tangential profiles through the sensitivity images obtained by using S-RT (hollow triangles), orthogonal distance-based ray-tracer for minimum thresholds of 0.5 (filled triangles), 0.1 (filled circles), and 0.01 (filled squares). The solid line is the theoretically calculated curve.

Image of FIG. 5.
FIG. 5.

Iteration-dependence of CC for images reconstructed using a SRM based on the Siddon ray-tracer (hollow squares), OD-RT-01 (filled squares), and MC-SRM (small segment) methods for the CCP reconstructions.

Image of FIG. 6.
FIG. 6.

Transverse views of the reconstructed images from HCP (left) and CCP (right) using a SRM obtained by using the S-RT (upper row), OD-RT-01 (middle row), and MC-SRM (lower row).

Image of FIG. 7.
FIG. 7.

Contrast recovery obtained by means of the S-RT (hollow squares), the OD-RT-01 (filled squares), and MC-based SRM (small segment) for each axial cylinder of HCP (a) and CCP (b).

Image of FIG. 8.
FIG. 8.

Tangential profiles through the sensitivity images obtained by using S-RT (hollow triangles), subsampled S-RT (hollow circles for 4 rays per detector, and hollow squares for 16 rays per detector), and OD-RT-01 (filled squares). The solid line is the theoretically calculated curve. Profiles for MC-SRM and S-RT-PSF resembled the theoretical profiles so are not shown.

Image of FIG. 9.
FIG. 9.

Reconstructed images from experimental home-made micro-Derenzo phantom using, from left to right, S-RT, S-RT-SS4, S-RT-SS16 and S-RT-PSF (top), and OD-RT-01, OD-RT-01-G, and MC-based SRM (bottom).

Tables

Generic image for table
TABLE I.

Averaged spatial resolution and standard deviation.

Generic image for table
TABLE II.

Computation time on an Intel(R) Xeon(TM) CPU 3.20 GHz dual-processor and SRM size per subset (Mb).

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/content/aapm/journal/medphys/37/11/10.1118/1.3501884
2010-10-12
2014-04-16
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Geometrical and Monte Carlo projectors in 3D PET reconstruction
http://aip.metastore.ingenta.com/content/aapm/journal/medphys/37/11/10.1118/1.3501884
10.1118/1.3501884
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