Uncertainty principles, signal recovery, finite Toeplitz forms, and approximation theory: connections and applications to limited angle tomography

Author

Olson, Tim

Author_Institution

Dept. of Math., Dartmouth Coll., Hanover, NH, USA

fYear

1994

fDate

3-6 Nov 1994

Abstract

A common imaging problem is the recovery of an unknown portion of a signal which cannot be gathered because of physical constraints on the system. The author discusses a number of approaches to this type of problem, and the interconnections between these different approaches. He then applies these ideas to the limited angle tomography problem

Keywords

approximation theory; computerised tomography; indeterminancy; tomography; approximation theory; finite Toeplitz forms; interconnections between approaches; limited angle tomography; signal recovery; signal unknown portion recovery; system physical constraints; uncertainty principles; Approximation methods; Constraint theory; Educational institutions; Eigenvalues and eigenfunctions; Fourier transforms; Iterative algorithms; Mathematics; Signal generators; Tomography; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Engineering in Medicine and Biology Society, 1994. Engineering Advances: New Opportunities for Biomedical Engineers. Proceedings of the 16th Annual International Conference of the IEEE

Conference_Location

Baltimore, MD

Print_ISBN

0-7803-2050-6

Type

conf

DOI

10.1109/IEMBS.1994.412124

Filename

412124

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1855838