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Image reconstruction from Fourier domain data sampled along a zig‐zag trajectory
Author(s) -
Yan Hong,
Braun Michael
Publication year - 1991
Publication title -
magnetic resonance in medicine
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.696
H-Index - 225
eISSN - 1522-2594
pISSN - 0740-3194
DOI - 10.1002/mrm.1910180214
Subject(s) - fourier transform , k space , artifact (error) , sampling (signal processing) , noise (video) , iterative reconstruction , computer vision , trajectory , computer science , artificial intelligence , image (mathematics) , nyquist–shannon sampling theorem , frequency domain , fourier analysis , algorithm , discrete time fourier transform , mathematics , short time fourier transform , mathematical analysis , physics , filter (signal processing) , astronomy
When the conventional Fourier transform (FT) algorithm is applied to reconstruct a magnetic resonance (MR) image from data sampled along a zig‐zag trajectory in the Fourier space, the nonuniform sampling in the spatial frequency direction may give rise to artifacts. In this paper the nature of the artifacts is analyzed and an alternative reconstruction algorithm is developed to produce artifact‐free images. Methods for reducing noise level in the reconstructed image are discussed. Our approach is compared with another method based on the interlace sampling theorem. © 1991 Academic Press. Inc.