Limited Data Tomography Using Support Minimization with a Priori Data

Thumbnail Image
Date
1992
Authors
Roberts, Ronald
Major Professor
Advisor
Committee Member
Journal Title
Journal ISSN
Volume Title
Publisher
Authors
Research Projects
Organizational Units
Journal Issue
Is Version Of
Versions
Series
Series
Review of Progress in Quantitative Nondestructive Evaluation
Center for Nondestructive Evaluation

Begun in 1973, the Review of Progress in Quantitative Nondestructive Evaluation (QNDE) is the premier international NDE meeting designed to provide an interface between research and early engineering through the presentation of current ideas and results focused on facilitating a rapid transfer to engineering development.

This site provides free, public access to papers presented at the annual QNDE conference between 1983 and 1999, and abstracts for papers presented at the conference since 2001.

Department
Abstract

This paper addresses the reconstruction of incomplete projection data such as obtained in limited angle X-ray tomography, including cases where a priori object geometry information is available. A variational approach is taken in which the missing projection data is determined through optimization of a functional measure of non-physical or undesirable solution (image) attributes. The focus of the research is on the prescription of appropriate functional measures, and in particular on the application of a functional which minimizes the support (i.e. area) of the solution image. The connection between functional attributes and algorithm behaviors is discussed, and examples of application of various functionals are assessed. A scheme for incorporation of a priori geometry information in the variational reconstruction is demonstrated. It is shown that the minimal support functional is effective in reconstructing compact, high contrast features, and is therefore likely to be useful in applications such as dimensional analysis and the imaging of cracks. This paper presents a summary of the continuation of the work reported last year [1], hence concepts discussed in detail in ref. [1] will only be stated briefly in this writing.

Comments
Description
Keywords
Citation
DOI
Keywords
Copyright
Wed Jan 01 00:00:00 UTC 1992