Tuesday,
October 6, 12:00 p.m. ECG 317
Electrical Engineering
Reconstruction from Non-uniform Spectral Data
Abstract
We discuss the reconstruction of compactly supported piecewise-smooth
functions from non-uniform samples of their Fourier transform. This
problem is of relevance in applications such as magnetic resonance
imaging (MRI). We summarize two popular reconstruction methods,
convolutional gridding and uniform resampling, and address the issue
of non-uniform sampling density and its effect on reconstruction quality.
We compare these classical reconstruction approaches with alternative
methods such as spectral re-projection and methods incorporating
jump information.
