Image recovery from irregularly located spectral samples

Recovery of magnetic resonance images from irregular sampling sets is investigated from the point of view of moment discretization of the Fredholm equation of the first kind. The limited spatial extent of the object is known a priori and the sampling schemes considered each have mean density lower t...

Full description

Saved in:
Bibliographic Details
Main Authors: Bones, P.J., Blakeley, N.D., Millane, R.P.
Format: Conference Proceeding
Language:English
Subjects:
Antenna measurements
Bones
Discrete Fourier transforms
Earth
Equations
Image reconstruction
Image sampling
Magnetic resonance
Magnetic resonance imaging
Spirals
Online Access:Request full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Recovery of magnetic resonance images from irregular sampling sets is investigated from the point of view of moment discretization of the Fredholm equation of the first kind. The limited spatial extent of the object is known a priori and the sampling schemes considered each have mean density lower than that imposed by the Nyquist limit. The recovery formula obtained has the same form as a standard irregular sampling technique. A practical means of performing the recovery for very large data sets by utilising the block Toeplitz structure of the matrix involved is presented.
DOI:10.1109/ICIP.2001.958992