Published March 7, 2013 | Version v1
Journal article

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

  • 1. Utah Center for Advanced Imaging Research (UCAIR), Department of Radiology, University of Utah, Salt Lake City, UT 84108 (United States)
  • 2. Department of Radiotracer Development and Imaging Technology, Ernest Orlando Lawrence Berkeley National Laboratory, One Cyclotron Road, MS 55R0121, Berkeley, CA 94720 (United States)

Description

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. (fast track communication)

Availability note (English)

Available from http://dx.doi.org/10.1088/0031-9155/58/5/L13

Additional details

Identifiers

Publishing Information

Journal Title
Physics in Medicine and Biology
Journal Volume
58
Journal Issue
5
Journal Page Range
p. L13-L16
ISSN
0031-9155
CODEN
PHMBA7

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
44061606
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
DATA TRANSMISSION; MATHEMATICAL SOLUTIONS; TOMOGRAPHY
Descriptors DEC
COMMUNICATIONS; DIAGNOSTIC TECHNIQUES