A bounded error estimation approach to image reconstruction

Author

Zhang, Yong ; Hero, Alfred O., III ; Rogers, W. Leslie

Author_Institution

Michigan Univ., Ann Arbor, MI, USA

fYear

1992

fDate

25-31 Oct 1992

Firstpage

966

Abstract

A bounded error (BE) approach to image reconstruction is investigated. In this approach a bound on the measured projections errors is specified and the set of images which is consistent with both the data and the error bound is constructed. The error bound can account for both statistical noise uncertainty, e.g., due to randoms correction or other Poisson-destructive preprocessing, and model uncertainty, e.g., due to a mismodeled or uncalibrated system matrix. The consistent set of images is a set estimate of the image from which point estimates, i.e., image reconstructions can be selected

Keywords

computerised tomography; image reconstruction; Poisson-destructive preprocessing; bounded error estimation approach; image reconstruction; measured projections errors; mismodeled system matrix; randoms correction; statistical noise uncertainty; uncalibrated system matrix; Computer errors; Ellipsoids; Error analysis; Image reconstruction; Maximum likelihood estimation; Noise measurement; State estimation; Tomography; Vectors; Yield estimation;

fLanguage

English

Publisher

ieee

Conference_Titel

Nuclear Science Symposium and Medical Imaging Conference, 1992., Conference Record of the 1992 IEEE

Conference_Location

Orlando, FL

Print_ISBN

0-7803-0884-0

Type

conf

DOI

10.1109/NSSMIC.1992.301091

Filename

301091