Two finite inverse Hubert transform formulae for region-of-interest tomography

Abstract

Recently we published two explicit formulae for finite inverse Hubert transforms (You and Zeng, Inv Probl 22 (2006), L7-L101). This paper presents a straightforward proof of the formulae, the data requirements, and some computer simulations to verify the formulae. Examples of region-of-interest tomography using truncated projections and the first formula of the finite inverse Hubert transform are shown. © 2007 Wiley Periodicals, Inc.