Paper
27 August 2010 Reconstructing MR images from under- or unevenly-sampled k-space
Linda Vu, Arsen R. Hajian, Paul H. Calamai, Andrew T. Cenko, Sarbast Rasheed, Jae K. Kim, Cameron Piron, Simon S. So, Jeff T. Meade, Kevin H. Knuth
Author Affiliations +
Abstract
In MRI, non-rectilinear sampling trajectories are applied in k-space to enable faster imaging. Traditional image reconstruction methods such as a fast Fourier transform (FFT) can not process datasets sampled in non-rectilinear forms (e.g., radial, spiral, random, etc.) and more advanced algorithms are required. The Fourier reduction of optical interferometer data (FROID) algorithm is a novel image reconstruction method1-3 proven to be successful in reconstructing spectra from sparsely and unevenly sampled astronomical interferometer data. The framework presented allows a priori information, such as the locations of the sampled points, to be incorporated into the reconstruction of images. In this paper, the FROID algorithm has been adapted and implemented to reconstruct magnetic resonance (MR) images from data acquired in k-space where the sampling positions are known. Also, simulated data, including randomly sampled data, are tested and analyzed.
© (2010) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Linda Vu, Arsen R. Hajian, Paul H. Calamai, Andrew T. Cenko, Sarbast Rasheed, Jae K. Kim, Cameron Piron, Simon S. So, Jeff T. Meade, and Kevin H. Knuth "Reconstructing MR images from under- or unevenly-sampled k-space", Proc. SPIE 7800, Image Reconstruction from Incomplete Data VI, 780006 (27 August 2010); https://doi.org/10.1117/12.858833
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KEYWORDS
Magnetic resonance imaging

Fourier transforms

Data modeling

Data acquisition

Reconstruction algorithms

Image restoration

Image resolution

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