Utilization of cross-plane rays for three-dimensional reconstruction by filtered back-projection.

Abstract:

:Present popular computed tomography (CT) algorithms reconstruct an object from the ray measurements lying on a set of parallel planes. This paper presents an algorithm that can also utilize "cross-plane" rays (i.e., rays that cross through many planes) to reconstruct the object. In this reconstruction algorithm, the ray measurements are grouped into two-dimensional projections, filtered, and stored. The filtered projections can then be back-projected onto a three-dimensional matrix or any plane through the three-dimensional volume. General theoretical aspects are presented and then applied to the special case in which ray measurements have been made in all directions. The algorithm is tested using computer-generated data. Expressions for the noise power spectrum and the variance in the reconstruction are derived. It is shown that the noise-to-signal ratio per detected photon for this reconstruction method is close to a theoretical limit, as it also is for normal CT. The ability to use ray measurements that cross many planes is especially useful in emission CT, where order-of-magnitude improvements in image quality per unit dose can be achieved.

journal_name

J Comput Assist Tomogr

authors

Pelc NJ,Chesler DA

doi

10.1097/00004728-197906000-00015

subject

Has Abstract

pub_date

1979-06-01 00:00:00

pages

385-95

issue

3

eissn

0363-8715

issn

1532-3145

journal_volume

3

pub_type

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