title: A general local reconstruction approach based on a truncated hilbert transform.
abstract: Exact image reconstruction from limited projection data has been a central topic in the computed tomography (CT) field. In this paper, we present a general region-of-interest/volume-of-interest (ROI/VOI) reconstruction approach using a truly truncated Hilbert transform on a line-segment inside a compactly supported object aided by partial knowledge on one or both neighboring intervals of that segment. Our approach and associated new data sufficient condition allows the most flexible ROI/VOI image reconstruction from the minimum account of data in both the fan-beam and cone-beam geometry. We also report primary numerical simulation results to demonstrate the correctness and merits of our finding. Our work has major theoretical potentials and innovative practical applications.
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: Yuchuan
authors.initials: Y
authors.lastname: Wei
authors.forename: Ge
authors.initials: G
authors.lastname: Wang