Title :
Uncertainty principles, signal recovery, finite Toeplitz forms, and approximation theory: connections and applications to limited angle tomography
Author_Institution :
Dept. of Math., Dartmouth Coll., Hanover, NH, USA
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;
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
DOI :
10.1109/IEMBS.1994.412124
