Technical notes
A volume resolution phantom for MRI
Sang Yun Moon, Joseph P. Hornak
⁎
Magnetic Resonance Laboratory, Rochester Institute of Technology, Rochester, NY 14623, USA
Received 16 February 2009; revised 26 May 2009; accepted 4 July 2009
Abstract
Multisite quantitative magnetic resonance imaging (qMRI) of volume requires a small isotropic point spread-function (PSF) that is
spatially, temporarily, and platform invariant. A phantom which will allow rapid assessment of this metric throughout the imaged volume
without repositioning will assist certification of imaging sites for use in qMRI studies based on volume. This paper presents a phantom design
for this purpose with a three-dimensional repeating pattern throughout its 800-cm
3
volume. The image of the pattern from the phantom
contains a series of positive signal points and lines which can be used to measure the PSF, gradient linearity, gradient orthogonality, and B
0
homogeneity at multiple locations throughout its volume. The phantom is readily constructed, can be filled with any nuclear magnetic
resonance signal-bearing liquid, and the design is scalable to cover larger volumes.
© 2010 Elsevier Inc. All rights reserved.
Keywords: Magnetic resonance imaging; Resolution phantom; MRI; Qualitative MRI; qMRI; Linearity; Resolution; Point spread function
Quantitative magnetic resonance imaging is often used to
stage disease and determine the efficacy of pharmaceuticals
[1]. Accurate qMRI typically requires a magnetic resonance
imaging (MRI) system to operate at a consistently higher
level of performance than is needed for conventional
qualitative MRI [2,3]. Existing phantoms were not designed
to evaluate information critical to qMRI on current scanners.
Therefore, special phantoms are needed to assess system
performance for qMRI. Quantitative MRI of volume is an
example of where current phantoms are imperfect.
Quantitative MRI based on volume changes requires that
the imaging system have a small isotropic point spread-
function (PSF) [4] and that it be spatially invariant. A
longitudinal study adds the constraint that the PSF be
temporally invariant, and a broad cross-sectional study can
add the requirement of platform invariance. These concepts
are illustrated in Fig. 1 for two point samples in an imaged
space. In the first example, the imaging system produces an
image (Fig. 1C) of the samples (Fig. 1A) that is the
convolution of the points with an anisotropic spatially
invariant PSF (Fig. 1B). The image shows blurred points,
both offset by the same amounts δ
1
and δ
2
from their original
positions. In MRI, a constant offset across the image is
generally acceptable. In the second example, the two point
samples are imaged with a spatially variant PSF (Fig. 1B and
D). The points are still blurred, but differently, and now
distances in the image are distorted (Fig. 1E). Spatial
distortions are caused by the variation in the offset part of the
PSF across the image.
In MRI, anisotropic PSFs are frequently the norm as
rectangular parallelepiped voxels are often used. When small
cubic voxels are prescribed, a small isotropic PSF is
achievable on many systems in some portion of the
imageable volume. Nonlinearities in the gradients, which
are either inherent in the gradient coil design or a
consequence of B
0
inhomogeneities, make the PSF aniso-
tropic, spatially variant and too large at other locations in the
magnet. A phantom and procedure for assessing the PSF and
its spatial, temporal, and platform variances would greatly
benefit qMRI studies of volume.
Constant time imaging [5] and phantom-based [6–8]
techniques have been proposed for measuring the PSF. The
former approach, applied to a uniform signal phantom, yields
an image weighted by the integral of the PSF and, thus, can
monitor the spatial, temporal and platform variance in the
Available online at www.sciencedirect.com
Magnetic Resonance Imaging 28 (2010) 286 – 289
⁎
Corresponding author. Magnetic Resonance Laboratory, Center for
Imaging Science, Rochester, NY 14623-5604, USA. Tel.: +1 585 475 2904;
fax: +1 585 475 5988.
E-mail address: jphsch@rit.edu (J.P. Hornak).
0730–725X/$ – see front matter © 2010 Elsevier Inc. All rights reserved.
doi:10.1016/j.mri.2009.07.002