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Fourier properties of the fan-beam sinogram
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10.1118/1.3366253
/content/aapm/journal/medphys/37/4/10.1118/1.3366253
http://aip.metastore.ingenta.com/content/aapm/journal/medphys/37/4/10.1118/1.3366253

Figures

Image of FIG. 1.
FIG. 1.

Fan-beam CT geometry. Parallel beam, equal-angle, and equal-spaced fan-beam variables are shown.

Image of FIG. 2.
FIG. 2.

2D Fourier space of equal-angle fan-beam sinogram for a 1 mm circular object at . (a) Magnitude image for (vertical axis) vs (horizontal axis). (b) Magnitude profiles at for theoretical, Bessel approximation, and simulated data. is in . (c) Magnitude profiles at .

Image of FIG. 3.
FIG. 3.

2D Fourier space of equal-spaced fan-beam sinogram for a 1 mm circular object at . (a) Magnitude image for (vertical axis) vs (horizontal axis). (b) Magnitude profiles at for theoretical, Bessel approximation, and simulated data. is in . (c) Magnitude profiles at .

Image of FIG. 4.
FIG. 4.

Magnitude profiles at for the equal-angle fan-beam 2D Fourier transformed sinogram. is in . (a) (b)

Image of FIG. 5.
FIG. 5.

Axial equal-angle fan-beam head CT data. (a) Sinogram data. (b) Image reconstructed using filtered backprojection. Grayscale color bar is in HU. (c) Magnitude image of 2D Fourier transform of sinogram.

Image of FIG. 6.
FIG. 6.

Double-wedge filtered head CT data. (a) Magnitude image of the 2D Fourier transformed sinogram after the double-wedge filter has been applied. (b) Reconstructed image after double-wedge filter. (c) Difference from the original reconstruction, the circle marks a 50 mm radius from isocenter. Grayscale color bar is in HU.

Image of FIG. 7.
FIG. 7.

SART algorithm used to estimate (a) the entire object using all of the original data (b) 60 mm radius region using the original data (c) 60 mm radius region using a 50 mm radius double-wedge filter on the sinogram data. All images truncated to the 50 mm radius ROI. Grayscale color bar is in HU.

Tables

Generic image for table
TABLE I.

Simulation parameters for both the equal-angle and equal-spaced geometries.

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/content/aapm/journal/medphys/37/4/10.1118/1.3366253
2010-03-19
2014-04-19
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Fourier properties of the fan-beam sinogram
http://aip.metastore.ingenta.com/content/aapm/journal/medphys/37/4/10.1118/1.3366253
10.1118/1.3366253
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