Title :
Image recovery from irregularly located spectral samples
Author :
Bones, J. ; Blakeley, N.D. ; Millane, R.P.
Author_Institution :
Dept. of Electr. & Electron. Eng., Canterbury Univ., Christchurch, New Zealand
fDate :
6/23/1905 12:00:00 AM
Abstract :
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
Keywords :
Fredholm integral equations; Toeplitz matrices; biomedical MRI; image restoration; image sampling; Fredholm equation; Nyquist limit; Toeplitz matrix; block Toeplitz structure; image recovery; irregular sampling sets; irregularly located spectral samples; magnetic resonance images; mean density; moment discretization; Antenna measurements; Bones; Discrete Fourier transforms; Earth; Equations; Image reconstruction; Image sampling; Magnetic resonance; Magnetic resonance imaging; Spirals;
Conference_Titel :
Image Processing, 2001. Proceedings. 2001 International Conference on
Conference_Location :
Thessaloniki
Print_ISBN :
0-7803-6725-1
DOI :
10.1109/ICIP.2001.958992
