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

Volume

1

fYear

2001

fDate

6/23/1905 12:00:00 AM

Firstpage

217

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Image Processing, 2001. Proceedings. 2001 International Conference on

Conference_Location

Thessaloniki

Print_ISBN

0-7803-6725-1

Type

conf

DOI

10.1109/ICIP.2001.958992

Filename

958992