Image reconstruction method using hilbert transform

A system for determining an image data value at a point of reconstruction in a computed tomography (CT) image of a scanned object, comprising:

• a CT scanning unit configured to generate projection data of the scanned object, the CT scanning unit including an X-ray source configured to generate X-rays and a detector having detector elements configured to produce the projection data of the scanned object;
• and
• a processor, including:
• a filtering unit configured to apply a ramp filter to the projection data generated by the CT scanning unit to generate ramp-filtered data;
• and
• a backprojecting unit configured to apply a backprojection operator with inverse distance weight to the ramp filtered data generated by the filtering unit to generate the image data value at the point of reconstruction.

A computer program product storing instructions for execution on a computer system, which when executed by the computer system, causes the computer system to determine an image data value at a point of reconstruction in a computed tomography (CT) image of a scanned object by performing the steps of:

• obtaining projection data of the scanned object;
• filtering the obtained projection data with a one-dimensional ramp filter to generate ramp-filtered data;
• and
• applying a backprojection operator with inverse distance weighting to said ramp-filtered data to generate the image data-value at the point of reconstruction in the CT image.