| 摘要 |
<p>A method for reconstruction of object attenuation density (S(x,y,z)) from X-ray projection image data values (V(p<SUB>q</SUB>)) comprises the steps of: representing ( 11 ) the object attenuation density by a sum of predetermined continuous harmonics (H<SUB>ijk</SUB>(x,y,z)) with unknown coefficients (a<SUB>ijk</SUB>); relating ( 12 ) each of the projection image data values to an integral (S(p<SUB>q</SUB>)) of the object attenuation density, and thus to a corresponding sum of sums (a<SUB>ijk</SUB>*H<SUB>ijk</SUB>(p<SUB>q</SUB>)) of the predetermined continuous harmonics with unknown coefficients; determining ( 13 ) the unknown coefficients (a<SUB>ijk</SUB>) 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.</p> |
