NDLI: Filtered-Backprojection Reconstruction Formula for 2D Tomography with Bilateral Truncation

Content Provider	IEEE Xplore Digital Library
Author	Clackdoyle, R. Noo, F. Mohamed, M.S.O. Mennessier, C.
Copyright Year	2006
Description	Author affiliation: Lab. Hubert Curien, CNRS (Clackdoyle, R.)
Abstract	We present a reconstruction formula for classical two-dimensional image reconstruction that is impervious to the effects of lateral truncation. The formula applies to objects lying inside an elliptical region whose area is less than that of a scanner's circular field-of-view. This situation would occur for example for a patient whose arms are truncated in anterior and posterior projection views. This formula differs fundamentally from existing algorithms in that it does not require a two-step processing of a DBP (differentiated backprojection) followed by subsequent Hilbert inversion. The formula represents a true filtered backprojection (FBP) algorithm, although the filtering step sometimes requires certain neighboring projections to also contribute to the current filtered projection. The derivation is based on a result published in 2004 on multiple Radon inversion formulas for functions with circular support. We have changed the support to an ellipse and identified a formula that does not access the truncated part of the sinogram. We implemented this reconstruction approach and tested it using simulated truncated data of a modified Shepp-Logan phantom. We suggest that potential advantages of this method would be the reconstruction of a small region-of-interest, which could be performed at high pixel resolution with only local backprojection and localized filtering required.
Starting Page	2895
Ending Page	2899
File Size	5337977
Page Count	5
File Format	PDF
ISBN	1424405602
ISSN	10957863
DOI	10.1109/NSSMIC.2006.356482
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2006-10-29
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Tomography Image reconstruction Nuclear and plasma sciences Arm Filtering algorithms Testing Imaging phantoms Humans Torso Density measurement
Content Type	Text
Resource Type	Article

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