X-ray cone-beam reconstruction from incomplete projection data has importan
t practical applications, especially in microtomography. We developed expec
tation maximization (EM)-type and algebraic reconstruction technique (ART)-
type iterative cone-beam reconstruction algorithms for metal artifact reduc
tion and local reconstruction from truncated data. These iterative algorith
ms are adapted from the emission computerized tomography (CT) EM formula an
d the ART. A key step in our iterative algorithms is introduction of a proj
ection mask and computation of a 3-D spatially varying relaxation factor th
at allows compensation for beam divergence and data incompleteness. The alg
orithms are simulated with projection data synthesized from mathematical ph
antoms. In simulation, the EM-type and ART-type iterative algorithms are de
monstrated to be effective for metal artifact reduction and local region re
construction. They perform similarly in terms of visual quality, image nois
e, and discrepancy between measured and reprojected data. The EM-type and A
RT-type iterative cone-beam reconstruction algorithms have potential for me
tal artifact reduction and local region reconstruction in X-ray CT.