Abstract
AbstractThird generation CTs which acquire projection data using wide fan‐beam X‐rays that cover the cubic surface of the test object have two widely used tomogram reconstruction algorithms: i.e., the direct method and the arrangement method. The direct method applies fan‐like back projection directly in Cartesian coordinates. The arrangement method rearranges data to transform them into parallel fan beams. This paper proposes a new fast reconstruction algorithm in which polar coordinates are established that are spatially synchronous with the measurement geometry, reconstructed images are obtained by performing back projection in the polar coordinates and coordinate transformation is achieved from the polar coordinates to Cartesian coordinates. The features of this method are (1) computation is fast because the results of the many calculations are tabulated; (2) the remaining calculations are only product sums; and (3) it is easy to implement this method in hardware. The quality of images produced by the direct method is compared with that of the arrangement method and the present method using both computer simulation data and clinical data. The comparison shows that (1) spatial resolution of images produced by this method is better than that of the arrangement method, but almost equal to that of the direct method; and (2) the number of artifacts generated by calculations is small.
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