Projection data correction method and apparatus, and radiation tomographic imaging method and apparatus
First Claim
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1. A projection data correction method comprising the steps of:
- individually calculating an average value of data and its proximate data, said data constituting a projection of an object to be imaged by penetrating radiation;
calculating a first product by multiplying said data by a first weighting factor that corresponds to a count of the penetrating radiation from which said data is derived;
calculating a second product by multiplying said average value by a second weighting factor that is a complement of said first weighting factor with respect to one; and
adding said first and second products, wherein said first weighting factor decreases as the corresponding count becomes smaller.
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Abstract
In order to provide a projection data correction method and apparatus that prevents artifact generation in the direction which provides a low count of penetrating radiation, and a radiation tomographic imaging method employing such a projection data correction method and a radiation tomographic imaging apparatus comprising the projection data correction apparatus, projection data Proj_ij is individually corrected by a weighted addition (604, 606, 608) with an average value (602) containing the proximate data. The weight SGij of the projection data is decreased as the count of the penetrating radiation from which the projection data is derived becomes smaller.
14 Citations
18 Claims
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1. A projection data correction method comprising the steps of:
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individually calculating an average value of data and its proximate data, said data constituting a projection of an object to be imaged by penetrating radiation;
calculating a first product by multiplying said data by a first weighting factor that corresponds to a count of the penetrating radiation from which said data is derived;
calculating a second product by multiplying said average value by a second weighting factor that is a complement of said first weighting factor with respect to one; and
adding said first and second products, wherein said first weighting factor decreases as the corresponding count becomes smaller. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8)
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4. The method of claim 1, wherein said first weighting factor is approximately proportional to said count of said penetrating radiation.
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5. The method of claim 1, further comprising the steps of:
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emitting radiation toward an object to be imaged in a plurality of view directions;
detecting penetrating radiation; and
producing an image using a projection based on signals detected by said emitting radiation and detection penetrating radiation.
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6. The method of claim 5, wherein an X-ray is employed as said radiation.
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7. The method of claim 5, wherein said first weighting factor is approximately proportional to said count of said penetrating radiation.
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8. The method of claim 5, wherein said first weighting factor is given by the following equation:
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9. A projection data correction apparatus comprising:
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average value calculating means for individually calculating an average value of data and its proximate data, said data constituting a projection of an object to be imaged by penetrating radiation;
first product calculating means for calculating a first product by multiplying said data by a first weighting factor that corresponds to a count of the penetrating radiation from which said data is derived;
second product calculating means for calculating a second product by multiplying said average value by a second weighting factor that is a complement of said first weighting factor with respect to one;
adder means for adding said first and second products; and
first weighting factor determining means for determining said first weighting factor so that said first weighting factor decreases as the corresponding count becomes smaller. - View Dependent Claims (10, 11, 12, 13)
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13. The apparatus of claim 9, wherein an X-ray is employed as said radiation.
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14. A radiation tomographic imaging apparatus comprising:
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a radiation emitting/detecting means for emitting radiation toward an object to be imaged in a plurality of view directions and detecting penetrating radiation; and
image producing means for producing an image using a projection based on signals detected by said radiation emitting/detecting means, wherein said image producing means comprises;
average value calculating means for individually calculating an average value of data and its proximate data, said data constituting said projection;
first product calculating means for calculating a first product by multiplying said data by a first weighting factor that corresponds to a count of the penetrating radiation from which said data is derived;
second product calculating means for calculating a second product by multiplying said average value by a second weighting factor that is a complement of said first weighting factor with respect to one;
adder means for adding said first and second products;
image reconstruction means for reconstructing an image using a projection comprised of data resulting from said addition; and
first weighting factor determining means for determining said first weighting factor so that said first weighting factor decreases as the corresponding count becomes smaller. - View Dependent Claims (15, 16, 17, 18)
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Specification