True 3D cone-beam imaging method and apparatus
First Claim
1. A method for generating a three-dimensional image of a scanned object from a plurality of cone-beam projections passed through the object and attenuated thereby, the method comprising:
- a) positioning a source at a position on a predetermined scan path;
b) passing a projection of cone-beam radiation comprising a plurality of projection rays from the source through an object, the cone-beam projection being attenuated by partial absorption in the object;
c) detecting radiation intensity of the attenuated cone-beam projection on an area detector;
d) obtaining a two-dimensional attenuation image of the cone-beam projection from the detected radiation intensity;
e) obtaining an intermediate transform function from the two-dimensional attenuation image on a set of planes passing through the source;
then f) repeatedly;
i) displacing the source to another position on the predetermined scan path and then ii) repeating steps (b)-(e);
g) filtering the intermediate transform functions acquired from consecutive attenuation images at two or more source positions using a moving-frame technique to obtain the second-order radial derivative of the Radon transform;
h) backprojecting the second-order radial derivative of the Radon transform in a two-dimensional space along each projection ray passing through a source position among the source positions referenced in step (g) to generate an intermediate, locally reconstructed, three-dimensional image with constant values assigned along each projection ray;
i) at least once, repeating steps (f)-(h); and
j) summing the plurality of intermediate, locally reconstructed, three-dimensional images obtained for the plurality of cone-beam projections to obtain an ultimate, reconstructed, three-dimensional image of the object.
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Abstract
A three-dimensional image of an object scanned with a plurality of cone-beam projections from a number of source positions is reconstructed using a method wherein intermediate transform functions are obtained from two-dimensional images of radiation attenuation in the scanned object. The intermediate transform functions are then filtered over a set of parallel planes using a moving-frame technique. The second-order radial derivative of the Radon transform can then be backprojected to generate an intermediate, locally-reconstructed, three-dimensional image. After repetition of this process, the plurality of intermediate, locally reconstructed, three-dimensional images are summed to obtain an ultimate, reconstructed, three-dimensional image of the object. In particular embodiments, the source and detector are displaced along helical paths and radiation scans of the object are taken at multiple positions along the paths.
38 Citations
24 Claims
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1. A method for generating a three-dimensional image of a scanned object from a plurality of cone-beam projections passed through the object and attenuated thereby, the method comprising:
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a) positioning a source at a position on a predetermined scan path;
b) passing a projection of cone-beam radiation comprising a plurality of projection rays from the source through an object, the cone-beam projection being attenuated by partial absorption in the object;
c) detecting radiation intensity of the attenuated cone-beam projection on an area detector;
d) obtaining a two-dimensional attenuation image of the cone-beam projection from the detected radiation intensity;
e) obtaining an intermediate transform function from the two-dimensional attenuation image on a set of planes passing through the source;
thenf) repeatedly;
i) displacing the source to another position on the predetermined scan path and then ii) repeating steps (b)-(e);
g) filtering the intermediate transform functions acquired from consecutive attenuation images at two or more source positions using a moving-frame technique to obtain the second-order radial derivative of the Radon transform;
h) backprojecting the second-order radial derivative of the Radon transform in a two-dimensional space along each projection ray passing through a source position among the source positions referenced in step (g) to generate an intermediate, locally reconstructed, three-dimensional image with constant values assigned along each projection ray;
i) at least once, repeating steps (f)-(h); and
j) summing the plurality of intermediate, locally reconstructed, three-dimensional images obtained for the plurality of cone-beam projections to obtain an ultimate, reconstructed, three-dimensional image of the object. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19)
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20. A cone-beam tomography apparatus comprising a radiation source, a radiation detector, a support for an object to be scanned by radiation from the radiation source, a computer-readable storage medium storing computer-executable software for generating a reconstruction of cone-beam radiation attenuation in an object, the software comprising:
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code for obtaining an intermediate transform function on a set of planes from a signal representing the amount of radiation transmitted through the object;
code for determining the second-order radial derivative of the Radon transform by filtering the intermediate transform function over a set of parallel planes using a moving-frame technique;
code for backprojecting the second-order radial derivative of the Radon transform to generate an intermediate, locally reconstructed, three-dimensional image with constant values assigned along each projection ray;
code for summing the plurality of intermediate, locally reconstructed, three-dimensional images obtained for the cone-beam projections to obtain an ultimate, reconstructed, three-dimensional image of the object; and
code for displacing the source and detector relative to the support in a predetermined scan path for radiation transmitted from the source, through an object positioned by the support, and to the detector. - View Dependent Claims (21, 22, 23, 24)
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Specification