Method and apparatus for computing tomographic scans

Claim 1

A method of back projecting the image of a CT scan comprising the steps of: (a) exposing a target object to an x-ray fan beam; (b) producing a signal representing the intensity of a beam of the x-ray incident upon a detector after passing through the target object; (c) scaling the signal in accordance with the signal which would have been produced by the detector producing the signal had the x-ray incident thereon not passed through the target object; (d) correcting the scaled signal for the magnification resulting from the spread of the x-ray fan beam using a back projected parallel beam established for each angular increment to establish a coordinate grid in the tomographic plane defined by the intersection of the fan beam and the target object, the parallel and fan beams intersecting in a locus of points which define the diameter of a reconstruction circle which is coplanar with the fan and reconstructed parallel x-ray beams, the coordinate grid defined by the spacing between the detectors in a linear detector array, and a scaling transformation which is the Jacobian of the transformation from the linear detector array to each of a plurality of planes through the reconstruction circle; (e) convolving the scaled signal to produce a value representing the signal which would have been produced by the detector had the ray of the x-ray fan beam incident thereon been a ray comprising a parallel beam, the central axis of which is contiguous and co-linear with the central axis of the fan beam; and (f) repeating steps (a)-(e) at a plurality of incremental angles around the target object to produce a back projected image of the target object.

Claim 2

A method of back projecting the image of a CT scan comprising the steps of: (a) exposing a target object to an x-ray fan beam; (b) producing a signal representing the intensity of a beam of the x-ray incident upon a detector after passing through the target object; (c) scaling the signal in accordance with the signal which would have been produced by the detector producing the signal had the x-ray incident thereon not passed through the target object; (d) correcting the scaled signal for the magnification resulting from the spread of the x-ray fan beam using a back projected parallel beam established for each angular increment to establish a coordinate grid in the tomographic plane defined by the intersection of the fan beam and the target object, the parallel and fan beams intersecting in a locus of points which define the diameter of a reconstruction circle which is coplanar with the fan and reconstructed parallel x-ray beams, the coordinate grid defined by the spacing between the detectors in a linear detector array, and a scaling transformation which is the Jacobian of the transformation from the linear detector array to each of a plurality of planes through the reconstruction circle; (e) convolving the scaled signal to produce a value representing the signal which would have been produced by the detector had the ray of the x-ray fan beam incident thereon been a ray comprising a parallel beam, the central axis of which is contiguous and co-linear with the central axis of the fan beam; and (f) repeating steps (a)-(e) at a plurality of incremental angles around the target object to produce a back projected image of the target object.

Claim 12

An apparatus for computing a CT image when attached to an existing x-ray simulator having a source for producing an x-ray fan beam and a film holder, a target object with a density which renders the target object at least partially x-ray opaque positioned in the fan beam, and means for rotating the source and the film holder around the target object comprising: a linear detector array adapted for mounting to the film holder of an x-ray simulator normal to the central axis of the fan beam produced by the source of the simulator without altering the original function of the simulator; said detector array comprising a plurality of individual detector elements, each individual detector element producing an output signal having an amplitude proportional to the energy intensity of an x-ray incident thereon, the intensity of an incident x-ray being proportional to the density of the target object through which the incident x-ray passes before striking the individual detector element; and a computer programmed for translating the output signal of each individual detector element at a plurality of incremental angles as said detector array and the source of the fan beam are rotated around the target object into a back projected computer tomographic scan of the target object by (1) correcting for the spread of the x-rays in the fan beam and the differences in the intensity depending upon the position of the individual detector element in the detector array relative to the central axis of the fan beam; (2) scaling the output signal to account for the relative distance from the source of the fan beam to the target object and for the distance from the source of the fan beam to the detector array, (3) correcting the scaled signal for the magnification resulting from the spread of the x-ray fan beam using a parallel beam projected back from each detector element in the detector array to establish a coordinate system with a scaling transformation which is the Jacobian of the transformation from the detector array to each of a plurality of planes in the coordinate system, (4) transforming the output signal from each detector element into a signal representing the signal that would have been produced by each detector element had the incident x-ray been produced by a parallel beam instead of a fan beam, (5) converting the transformed signal at each incremental angle into a gray scale value for a picture element having a specific set of coordinates in the coordinate system, and (6) outputting the gray scale value to an appropriate display means.

Claim 13

An apparatus for computing a CT image when attached to an existing x-ray simulator having a source for producing an x-ray fan beam and a film holder, a target object with a density which renders the target object at least partially x-ray opaque positioned in the fan beam, and means for rotating the source and the film holder around the target object comprising: a linear detector array adapted for mounting to the film holder of an x-ray simulator normal to the central axis of the fan beam produced by the source of the simulator without altering the original function of the simulator; said detector array comprising a plurality of individual detector elements, each individual detector element producing an output signal having an amplitude proportional to the energy intensity of an x-ray incident thereon, the intensity of an incident x-ray being proportional to the density of the target object through which the incident x-ray passes before striking the individual detector element; and a computer programmed for translating the output signal of each individual detector element at a plurality of incremental angles as said detector array and the source of the fan beam are rotated around the target object into a back projected computer tomographic scan of the target object by (1) correcting for the spread of the x-rays in the fan beam and the differences in the intensity depending upon the position of the individual detector element in the detector array relative to the central axis of the fan beam; (2) scaling the output signal to account for the relative distance from the source of the fan beam to the target object and for the distance from the source of the fan beam to the detector array, (3) correcting the scaled signal for the magnification resulting from the spread of the x-ray fan beam using a parallel beam projected back from each detector element in the detector array to establish a coordinate system with a scaling transformation which is the Jacobian of the transformation from the detector array to each of a plurality of planes in the coordinate system, (4) transforming the output signal from each detector element into a signal representing the signal that would have been produced by each detector element had the incident x-ray been produced by a parallel beam instead of a fan beam, (5) converting the transformed signal at each incremental angle into a gray scale value for a picture element having a specific set of coordinates in the coordinate system, and (6) outputting the gray scale value to an appropriate display means.