Design of sampling and interpolation systems with applications to medical imaging

Various aspects concerning the theory and design of sampling and interpolation systems are investigated in this dissertation. The first investigation is of time-sequential sampling. A novel theory of time-sequential sampling is developed which links time-sequential sampling with generalized multidimensional sampling. This theory includes conditions for time-sequential patterns, temporal uniformity, and bounds on temporal parameters. The behavior of time-sequential patterns is analyzed for the case of large space-spatial bandwidth products with the surprising result that the time-sequential constraint becomes irrelevant. The theory is also developed for arbitrary dimension with any spatial and spectral support. The theory is used to develop simple algorithms for designing time-sequential sampling patterns. Several examples of these algorithms are given. The application of time-sequential sampling to time-varying tomography is also investigated. It is shown that if the rapid temporal variation is concentrated in the center of the object being reconstructed then an improvement by up to a factor of four can be realized over conventional linear sampling. The time-sequential design algorithms are applied to this problem, and simulation results using these optimal sampling strategies are shown.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Electrical and Computer Engineering

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2011

Author dc:creator

• Willis, Nathaniel Parker

Contributors dc:contributor

• Bresler, Yoram

• Engineering, Electronics and Electrical

Statement dc:rights

• Copyright 1992 Willis, Nathaniel Parker

Language dc:language

eng

Identifier

AAI9309808
(UMI)AAI9309808

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/22626