Method and apparatus for reconstruction of the attenuation...

X-ray or gamma ray systems or devices – Specific application – Computerized tomography

Reexamination Certificate

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C378S901000

Reexamination Certificate

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06973156

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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