Computed tomography method for the reconstruction of object...

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

Reexamination Certificate

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C378S901000, C382S131000

Reexamination Certificate

active

11571905

ABSTRACT:
The invention relates to a method of computed tomography wherein a radiation source moves relative to an examination zone along a helical trajectory and wherein the movement involves a rotation around a rotational axis and a shifting parallel to the rotational axis. During the movement, a detector unit acquires real measured values. Fictitious measured values are determined from the real measured values by solving John's equation for a virtual movement of the radiation source along an intersection ellipse. The intersection ellipse intersects the helical trajectory at an intersection point and is the intersection of a virtual cylindrical surface, on which the helical trajectory is situated, with an intersection plane that is defined by a tangent vector of the helical trajectory at the intersection point and a vector that is oriented perpendicular to the rotational axis. Finally, an image of the examination zone is reconstructed using the real and fictitious measured values.

REFERENCES:
patent: 6292526 (2001-09-01), Patch
patent: 2003/0174803 (2003-09-01), Katsevich
Defrise, M., et al.; Improved two-dimensional rebinning of helical cone-beam computerized tomography data using John's equation; 2003; Institute of Physics Publishing-Inverse Problems; vol. 19; pp. S41-S54.
John, F.; The ultrahyperbolic equation with four independent variables; 1938; Duke Mathematical Journal; vol. 4; pp. 300-322.
Katsevich, A.; Analysis of an exact inversion algorithm for spiral cone-beam CT; 2002; Phys. Med. Biol.; vol. 47; pp. 2583-2597.
Kudo, H., et al.; Exact and approximate algorithms for helical cone-beam CT; 2004; Phys. Med. Biol.; vol. 49; pp. 2913-2931.
Patch, S.; Computation of Unmeasured Third-Generation VCT Views from Measured Views; 2002; IEEE Transactions on Medical Imaging; 21(7)801-813.
Turbell, H.; Cone-Beam Reconstruction Using Filtered Backprojection-Dissertation No. 672; 2001; Linkoping Institute of Technology, Sweden-Dept. of Electrical Engineering.

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