title: Exact interior reconstruction from truncated limited-angle projection data.
abstract: Using filtered backprojection (FBP) and an analytic continuation approach, we prove that exact interior reconstruction is possible and unique from truncated limited-angle projection data, if we assume a prior knowledge on a subregion or subvolume within an object to be reconstructed. Our results show that (i) the interior region-of-interest (ROI) problem and interior volume-of-interest (VOI) problem can be exactly reconstructed from a limited-angle scan of the ROI/VOI and a 180 degree PI-scan of the subregion or subvolume and (ii) the whole object function can be exactly reconstructed from nontruncated projections from a limited-angle scan. These results improve the classical theory of Hamaker et al. (1980).
authors.affiliation: Department of Mathematics, University of Iowa, Iowa City, IA 52242, USA.
authors.forename: Yangbo
authors.initials: Y
authors.lastname: Ye
authors.forename: Hengyong
authors.initials: H
authors.lastname: Yu
authors.forename: Ge
authors.initials: G
authors.lastname: Wang