On the bias of finite-view interior tomography using piecewise-constant and non-negativity constraints

Gengsheng L Zeng; Grant T Gullberg

doi:10.1088/0031-9155/58/5/L13

On the bias of finite-view interior tomography using piecewise-constant and non-negativity constraints

Phys Med Biol. 2013 Mar 7;58(5):L13-6. doi: 10.1088/0031-9155/58/5/L13. Epub 2013 Feb 5.

Authors

Gengsheng L Zeng¹, Grant T Gullberg

Affiliation

¹ Utah Center for Advanced Imaging Research (UCAIR), Department of Radiology, University of Utah, Salt Lake City, UT 84108, USA. larry@ucair.med.utah.edu

Abstract

It has been widely believed that the non-negativity and the piecewise-constant constraints guarantee a unique solution to an interior tomographic problem. This letter points out that if the number of views is finite, the non-negativity and the piecewise-constant constraints do not guarantee a unique solution to an interior tomographic problem and the reconstruction could be biased by a constant polygon.

Publication types

Research Support, N.I.H., Extramural
Research Support, U.S. Gov't, Non-P.H.S.

MeSH terms

Humans
Image Processing, Computer-Assisted
Tomography / methods*

Abstract

Publication types

MeSH terms

Grants and funding