Paper
18 March 2008 Image reconstruction from sparse data samples in MRI accounting for phase roll
Author Affiliations +
Abstract
In this study we apply a total variation (TV) minimization algorithm to image reconstruction in magnetic resonance imaging (MRI). This algorithm is particularly effective for underlying images that are approximately piecewise constant. While the underlying proton spin density in MRI can satisfy this condition under certain circumstances, it is often distorted by unavoidable physical factors that alter the phase of the complex image. In this work, we employ a known method of removing this slow phase variation resulting from magnetic field inhomogeneities to obtain a spin density distribution that is piecewise constant. After the phase removal, we apply the TV minimization algorithm to obtain images from 20% of the full MRI data set.
© (2008) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Samuel J. LaRoque, Emil Y. Sidky, Gregory S. Karczmar, and Xiaochuan Pan "Image reconstruction from sparse data samples in MRI accounting for phase roll", Proc. SPIE 6913, Medical Imaging 2008: Physics of Medical Imaging, 69130E (18 March 2008); https://doi.org/10.1117/12.769568
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KEYWORDS
Magnetic resonance imaging

Image restoration

Reconstruction algorithms

Fourier transforms

Magnetism

Medical imaging

Algorithm development

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