Projector/backprojector with slice-to-slice blurring for efficient 3D scatter modeling
First Claim
1. A method of modeling 3D first-order scatter, non-uniform attenuation, and 3D system geometric point response in an ML-EM algorithm to reconstruction SPECT data comprising:
- (a) performing an initial slice-to-slice blurring on a volume of estimated emission source data, said volume of estimated emission source data being represented by a 3D array of voxels;
(b) voxel-by-voxel multiplying step (a) results by a volume of attenuation coefficients to produce a volume of effective scatter source data;
(c) voxel-by-voxel adding the volume of effective scatter source data to the volume of estimated emission source data to produce a volume of combined estimated emission and scatter source data; and
, (d) performing a secondary slice-to-slice blurring on the volume of combined estimated emission and scatter source data.
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Abstract
A method of modeling 3D first-order scatter, non-uniform attenuation, and 3D system geometric point response in an ML-EM algorithm to reconstruction SPECT data is provided. It includes performing an initial slice-to-slice blurring operation (112) on a volume of estimated emission source data. The volume of estimated emission source data is represented by a 3D array of voxels. A voxel-by-voxel multiplying (114) of the results from the initial slice-to-slice blurring operation (112) by a volume of attenuation coefficients yields a volume of effective scatter source data (116). The volume of effective scatter source data (116) is voxel-by-voxel added (118) to the volume of estimated emission source data to produce a volume of combined estimated emission and scatter source data. Finally, a secondary slice-to-slice blurring operation (120) is performed on the volume of combined estimated emission and scatter source data.
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Citations
16 Claims
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1. A method of modeling 3D first-order scatter, non-uniform attenuation, and 3D system geometric point response in an ML-EM algorithm to reconstruction SPECT data comprising:
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(a) performing an initial slice-to-slice blurring on a volume of estimated emission source data, said volume of estimated emission source data being represented by a 3D array of voxels;
(b) voxel-by-voxel multiplying step (a) results by a volume of attenuation coefficients to produce a volume of effective scatter source data;
(c) voxel-by-voxel adding the volume of effective scatter source data to the volume of estimated emission source data to produce a volume of combined estimated emission and scatter source data; and
,(d) performing a secondary slice-to-slice blurring on the volume of combined estimated emission and scatter source data.
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2. A method of medical imaging comprising:
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(a) performing an initial slice-to-slice blurring on a volume of estimated emission source data by successively convolving parallel slices of the volume of estimated emission source data with respective blurring kernels, and successively adding previously convolved neighboring slices to their immediately following slices prior to that following slices'"'"' convolution;
(b) voxel-by-voxel multiplying step (a) results by a volume of attenuation coefficients to produce a volume of effective scatter source data;
(c) voxel-by-voxel adding the volume of effective scatter source data to the volume of estimated emission source data to produce a volume of combined estimated emission and scatter source data; and
,(d) performing a secondary slice-to-slice blurring on the volume of combined estimated emission and scatter source data. - View Dependent Claims (3, 4, 5, 6, 7)
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8. A method of medical imaging comprising:
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(a) performing an initial slice-to-slice blurring on a volume of estimated emission source data;
(b) voxel-by-voxel multiplying step (a) results by a volume of attenuation coefficients to produce a volume of effective scatter source data;
(c) voxel-by-voxel adding the volume of effective scatter source data to the volume of estimated emission source data to produce a volume of combined estimated emission and scatter source data; and
,(d) performing a secondary slice-to-slice blurring on the volume of combined estimated emission and scatter source data by successively convolving parallel slices of the volume of combined estimated emission and scatter source data with respective blurring kernels, and successively adding previously convolved neighboring slices to their immediately following slices prior to that following slices'"'"' convolution. - View Dependent Claims (9, 10, 11, 12)
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13. A projector/backprojector for use in an image processor employing an EM reconstruction algorithm comprising:
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a first convolver which successively convolves parallel slices of a volume of image data and adds them to neighboring slices prior to the neighboring slices being convolved, said first convolver employing convolution kernels determined from a Compton scattering function which is a function of a scattering angle;
a multiplication processor which voxel-by-voxel multiplies a volume of image data from the first convolver by a volume of attenuation coefficients; and
,a second convolver which successively convolves parallel slices of a volume of image data from the multiplication processor and adds them to neighboring slices prior to the neighboring slices being convolved, said second convolver employing convolution kernels determined from a system geometric point response function which depends on physical characteristics of a collimator used during collection of measured data. - View Dependent Claims (14, 15)
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16. A projector/backprojector for use in an image processor employing, said projector/backprojector comprising:
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first convolving means for performing a first slice-to-slice blurring operation on a volume of estimated emission source data;
a multiplication processor which voxel-by-voxel multiplies an output from the first convolver by a volume of attenuation coefficients to produce a volume of effective scatter source data;
an adder which adds the volume of effective scatter source data to the volume of estimated emission source data; and
,a second convolving means for performing a second slice-to-slice blurring operation on a volume of data output from the adder.
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Specification