Method and apparatus for reconstruction of the attenuation density of an object from X-ray projection image data
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United States of America Patent
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Dec 6, 2005
Grant Date -
Jul 14, 2005
app pub date -
Mar 2, 2004
filing date -
Jan 13, 2004
priority date (Note) -
Expired
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Abstract
A method for reconstruction of object attenuation density (S(x,y,z)) from X-ray projection image data values (V(pq)) comprises the steps of: representing (11) the object attenuation density by a sum of predetermined continuous harmonics (Hijk(x,y,z)) with unknown coefficients (aijk); relating (12) each of the projection image data values to an integral (S(pq)) of the object attenuation density, and thus to a corresponding sum of sums (aijk*Hijk(pq)) of the predetermined continuous harmonics with unknown coefficients; determining (13) the unknown coefficients (aijk) from the above relation; and reconstructing (14) the object attenuation density by said sum of predetermined continuous harmonics with said determined coefficients. The spatial three-dimensional object attenuation density is found as a continuous function with uniform resolution over all its volume and is shown as a solid three-dimensional body, which can be cut in arbitrary way and shown in continuous motion.
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