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Two Approaches to MRI Reconstruction: Gaussian Radial Basis Functions and Single Shot Parse


Abstract Physical limitations of Magnetic Resonance Imaging (MRI) introduce different errors in the image reconstruction process. The discretization and truncation of data under discrete Fourier transform causes oscillations near jump discontinuities, a phenomenon known as the Gibbs effect. Using Gaussian-based approximations rather than the discrete Fourier transform to reconstruct images serves to diminish the Gibbs effect slightly, especially when coupled with filtering. Additionally, a simplifying assumption is made that, during signal collection, the amount of transverse magnetization decay at a point does not depend on that point's position in space. Though this methodology significantly reduces operational run-time, it nonetheless introdu... (more)
Created Date 2015-05
Contributor Neufer, Ian Douglas (Author) / Platte, Rodrigo (Thesis Director) / Gelb, Anne (Committee Member) / Barrett, The Honors College / School of Mathematical and Statistical Sciences
Subject MRI Principles / Single-shot Parse / MRI Reconstruction / Gaussian-based Approximations
Series Academic Year 2014-2015
Type Text
Extent 24 pages
Language English
Copyright
Reuse Permissions All Rights Reserved
Collaborating Institutions Barrett, the Honors College
Additional Formats MODS / OAI Dublin Core / RIS


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