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Realistic analytical phantoms for parallel magnetic resonance imaging


Guerquin-Kern, M; Lejeune, L; Pruessmann, K; Unser, M (2012). Realistic analytical phantoms for parallel magnetic resonance imaging. IEEE Transactions on Medical Imaging, 31(3):626-636.

Abstract

The quantitative validation of reconstruction algorithms requires reliable data. Rasterized simulations are popular but they are tainted by an aliasing component that impacts the assessment of the performance of reconstruction. We introduce analytical simulation tools that are suited to parallel magnetic resonance imaging and allow one to build realistic phantoms. The proposed phantoms are composed of ellipses and regions with piecewise-polynomial boundaries, including spline contours, Bézier contours, and polygons. In addition, they take the channel sensitivity into account, for which we investigate two possible models. Our analytical formulations provide well-defined data in both the spatial and k-space domains. Our main contribution is the closed-form determination of the Fourier transforms that are involved. Experiments validate the proposed implementation. In a typical parallel MRI reconstruction experiment, we quantify the bias in the overly optimistic results obtained with rasterized simulationsthe inverse-crime situation. We provide a package that implements the different simulations and provide tools to guide the design of realistic phantoms.

The quantitative validation of reconstruction algorithms requires reliable data. Rasterized simulations are popular but they are tainted by an aliasing component that impacts the assessment of the performance of reconstruction. We introduce analytical simulation tools that are suited to parallel magnetic resonance imaging and allow one to build realistic phantoms. The proposed phantoms are composed of ellipses and regions with piecewise-polynomial boundaries, including spline contours, Bézier contours, and polygons. In addition, they take the channel sensitivity into account, for which we investigate two possible models. Our analytical formulations provide well-defined data in both the spatial and k-space domains. Our main contribution is the closed-form determination of the Fourier transforms that are involved. Experiments validate the proposed implementation. In a typical parallel MRI reconstruction experiment, we quantify the bias in the overly optimistic results obtained with rasterized simulationsthe inverse-crime situation. We provide a package that implements the different simulations and provide tools to guide the design of realistic phantoms.

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29 citations in Web of Science®
28 citations in Scopus®
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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:04 Faculty of Medicine > Institute of Biomedical Engineering
Dewey Decimal Classification:170 Ethics
610 Medicine & health
Language:English
Date:2012
Deposited On:24 Jan 2012 15:42
Last Modified:05 Apr 2016 15:27
Publisher:IEEE
ISSN:0278-0062
Additional Information:© 2012 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Publisher DOI:10.1109/TMI.2011.2174158
PubMed ID:22049364
Permanent URL: http://doi.org/10.5167/uzh-56454

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