Abstract
Among all kinds of reconstruction algorithms for 3D cone-beam CT, approximate algorithms are widely used in practice, because they have simple mathematics expressions, and can be easily implemented. The acquired reconstruction effect is good when cone angle is small. Among various approximate algorithms based in filtered back-projection, Feldkamp-type algorithms are the mainstream methods in practice all the time. Whereas Feldkamp-type algorithms have tremendous practical value, in this paper we present a brief review of the history and recent development for them, including standard FDK, general FDK, which is generalized to arbitrary orbits and other derived algorithms for FDK considering reconstruction speed or precision. Then it makes a discussion and analysis aiming at the existing problems of FDK algorithms, finally it makes a prospect for the theoretic development of FDK algorithms.
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