Methods, apparatus and systems for an exact filtered back projection process for circle-plus trajectories, which consist of two components: C and L. The first component C, is analogous to a circle in the traditional circle-plus trajectories, is any closed (not necessarily planar) continuous curve. The second component L is almost any continuous curve. The only condition is that L starts below C and ends above C. The process does not depend on the global properties of L. When the source is located on L, one needs to know only how C projects onto the corresponding detector and the properties of L in the immediate neighborhood of the source position. The present invention is especially convenient for the traditional circle-plus trajectories, which are implemented using a gantry and moving table by obtaining a universal FBP algorithm, which is independent of table movement during the scan as long as the condition on L is satisfied.
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College of Sciences
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Nonprovisional Application Record
Katsevich, Alexander, "Image Reconstruction for a General Circle-Plus Trajectory" (2010). UCF Patents. 259.