Alias-free image reconstruction using Fresnel transform in the phase-scrambling Fourier imaging technique

An image reconstruction technique that reduces aliasing artifacts by scalable image reconstruction in magnetic resonance imaging (MRI) is proposed. The signal obtained by the phase‐scrambling Fourier transform (PSFT) imaging technique can be transformed to the signal described in the Fresnel transfo...

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Bibliographic Details
Published in:Magnetic resonance in medicine 2008-08, Vol.60 (2), p.422-430
Main Authors: Ito, Satoshi, Yamada, Yoshifumi
Format: Article
Language:English
Subjects:
Algorithms
Brain - anatomy & histology
field of view
Fourier Analysis
Humans
Image Enhancement - methods
Image Interpretation, Computer-Assisted - methods
Imaging, Three-Dimensional - methods
Magnetic Resonance Imaging - instrumentation
Magnetic Resonance Imaging - methods
Models, Biological
Models, Statistical
Phantoms, Imaging
quadratic phase reconstruction
Reproducibility of Results
sampling theorem
scaling
Sensitivity and Specificity
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Summary:An image reconstruction technique that reduces aliasing artifacts by scalable image reconstruction in magnetic resonance imaging (MRI) is proposed. The signal obtained by the phase‐scrambling Fourier transform (PSFT) imaging technique can be transformed to the signal described in the Fresnel transform equation of the objects. Therefore, image reconstruction can be performed not only by inverse FT but also by inverse Fresnel transform. When a phase‐scrambling coefficient is given in a certain range, image reconstruction by inverse Fresnel transform allows shrinking of images over rather wide scales. Thus, reduced aliasing images can be reconstructed even from signals that produce serious aliasing artifacts by standard inverse FT reconstruction. Simulation and experimental studies reveal that the proposed method can be used to produce reduced aliasing images. Magn Reson Med 60:422–430, 2008. © 2008 Wiley‐Liss, Inc.
ISSN:0740-3194
1522-2594
DOI:10.1002/mrm.21672