Abstract
A 3D quadric head phantom with MRI physical properties (tissue relaxation, proton density, and magnetic susceptibility) is presented. The phantom can be used to generate analytic k-space data for both 3D and 2D multi-slice acquisitions to compare their imaging performances and characteristics. The 2D multi-slice acquisitions are simulated from the 3D phantom using a matrix-based calculation of the intersections of each imaging plane (or slice) and the ellipsoids.
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References
Shepp, L.A., Logan, B.F.: The fourier reconstruction of a head section. IEEE Transactions on Nuclear Science NS-21, 21-43 (1974)
Koay, C.G., Sarlls, J.E., Ozarslan, E.: Three-dimensional analytical magnetic resonance imaging phantom in the Fourier domain. Magnetic Resonance in Medicine 58, 430-436 (2007)
Van de Walle, R., Barrett, H.H., Myers, K.J., Altbach, M.I., Desplanques, B., Gmitro, A.F., Cornelis, J., Lemahieu, I.: Reconstruction of MR images from data acquired on a general nonregular grid by pseudoinverse calculation. IEEE Transactions on Medical Imaging 19, 1160-1167 (2000)
Pan, S., Kak, A.: A computational study of reconstruction algorithms for diffraction tomography: interpolation versus filtered-backpropagation. IEEE Transactions on Acoustics Speech and Signal Processing 31, 1262-1275 (1983)
Collins, D.L., Zijdenbos, A.P., LKollokian, V., Sled, J.G., Kabani, N.J., Holmes, C.J., Evans, A.C.: Design and construction of a realistic digital brain phantom. IEEE Transactions on Medical Imaging 17, 463-468 (1998)
Ferguson, C.C.: Intersections of ellipsoids and planes of arbitrary orientation and position. Mathematical Geology 11, 329-335 (1979)
Gendzwill, D.J., Stauffer, M.R.: Analysis of triaxial ellipsoids: Their shapes, plane sections, and plane projections. Mathematical Geology 13, 135-152 (1981)
Shene, C.-K., Johnstone, J.K.: Computing the intersection of a plane and a revolute quadric. Computers and Graphics 18, 47-59 (1994)
Kellman, P., Derbyshire, J.A., McVeigh, E.R.: Automatic in-plane rotation for doubly-oblique cardiac imaging. Journal of Magnetic Resonance Imaging 18, 612-615 (2003)
Klein, P.P.: On the Ellipsoid and Plane Intersection Equation. Applied Mathematics 3, 1634-1640 (2012)
Bottomley, P.A., Foster, T.H., Argersinger, R.E., Pfeifer, L.M.: A review of normal tissue hydrogen NMR relaxation times and relaxation mechanisms from 1-100 MHz: dependence on tissue type, NMR frequency, temperature, species, excision, and age. Medical Physics 11, 425-448 (1984)
Alfano, S., Greer, M.L.: Determining if two solid ellipsoids intersect. Journal of Guidance, Control, and Dynamics 26, 106-110 (2003)
Callaghan, P.T.: Principles of Nuclear Magnetic Resonance Spectroscopy. Clarendon Press, Oxford (1993)
Yoder, D.A., Zhao, Y., Paschal, C.B., Fitzpatrick, J.M.: MRI simulator with object-specific field map calculations. Magnetic Resonance Imaging 22, 315-328 (2004)
Acknowledgements.
This research was conducted with the support of the Nevada Cancer Institute, the University of Pittsburgh, and the National Institutes for Health National Cancer Institute grant R01 CA159471-01. We are grateful to Fernando Boada and Costin Tanase for their early models that inspired this work.
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Gach, H.M. (2015). 2D Multi-Slice and 3D k-Space Simulations using a 3D Quadric Head Phantom with MRI Properties. In: Selvaraj, H., Zydek, D., Chmaj, G. (eds) Progress in Systems Engineering. Advances in Intelligent Systems and Computing, vol 366. Springer, Cham. https://doi.org/10.1007/978-3-319-08422-0_90
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DOI: https://doi.org/10.1007/978-3-319-08422-0_90
Publisher Name: Springer, Cham
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