Serhat Ilbey1, Michael Bock1, Matthias Jung2, Lukas Konstantinidis3, and Ali Özen1
1Dept. of Radiology, Medical Physics, Medical Center University of Freiburg, Faculty of Medicine, University of Freiburg, Freiburg, Germany, 2Department of Diagnostic and Interventional Radiology, Medical Center University of Freiburg, Faculty of Medicine, University of Freiburg, Freiburg, Germany, 3Department of Orthopaedics and Trauma Surgery, Medical Center University of Freiburg, Faculty of Medicine, University of Freiburg, Freiburg, Germany
Synopsis
MRI near
metallic implants require high bandwidth excitation and acquisition to minimize
signal void and pile-up artefacts. In this work, compressed sensing PETRA
(csPETRA) was modified to have intentionally a longer TE, so that the phase-encoding
part of the k-space is extended. To prevent extremely long scan times, SPI
points in csPETRA sequence are pseudo-randomly undersampled to reduce the scan
time below 6 minutes. csPETRA reduced artifacts near metal significantly while
preserving the anatomical details. Isotropic 3D MRI of two volunteers with
mouth and knee prostheses was performed with csPETRA and the artifacts are
significantly reduced compared to T1w-WARP sequence.
Introduction
Magnetic
susceptibility differences between metallic implants and tissue cause magnetic
field perturbations up to 5000ppm that result in signal voids and image distortion
artifacts due to intra-voxel dephasing and image displacements. To mitigate
this problem several techniques have been proposed including Single Point
Imaging(SPI)1, slice encoding for metal artifact
correction(SEMAC)2, multi-acquisition variable
resonance image combination(MAVRIC)3, and view angle tilting(VAT)4.
Fully
phase-encoded techniques such as SPI offer distortion-free near metal imaging5-7. As SPI is intrinsically time-inefficient, these methods cannot
provide 3D isotropic high-resolution(≤1mm) images in clinically feasible times
(≤6minutes). To overcome this time penalty, hybrid sequences such as PETRA8-10 have been proposed which acquire a central
k-space region using SPI, and the other k-space with a radial acquisition.
To increase
the acquisition bandwidth in PETRA, the frequency‑encoding gradients are
already switched on before the RF excitation. The finite RF pulse duration and
acquisition delays between RF pulse and data acquisition result in a sampling
gap at the center of k-space and this missing gap is recovered using SPI.
In
this work, we used compressed sensing PETRA (csPETRA)11 with high receiver
bandwidth and a TE that is longer than the dead time of the MR system to extend
the SPI part of the sequence. To prevent extremely long scan times, SPI points
in csPETRA sequence are pseudo-randomly undersampled using Poisson disk sampling12 reducing the scan time below
6 minutes.Methods
PETRA
consists of an outer radial k-space acquisition and an SPI section to fill the
inner k-space gap (Fig. 1). The
required number of SPI samples is approximately $$$N_{spi}=\frac{4}{3}\pi(N_{gap})^3$$$ $$$(N_{gap}=\frac{TE}{t_{dwell}}$$$, $$$t_{dwell}$$$: dwell time$$$)$$$, which shows a cubic relation between the radius of the gap and total scan time. To reduce the scan time for the SPI section only a small portion of the SPI points is acquired in csPETRA, and the image is reconstructed by solving the following minimization problem:$$\begin{matrix}\underset{\mathbf{m}}{\operatorname{argmin}}\lambda\text{TV}(\mathbf{m})+\alpha\|\mathbf{m}\|_1\\s.t.\|\mathbf{M\mathcal{F}m}-\mathbf{s}\|_2<\epsilon\end{matrix},$$where $$$\mathbf{M}$$$ is the sampling mask, $$$\mathbf{m}$$$ is the vectorized 3D image, $$$\mathbf{\mathcal{F}}$$$ is the 3D discrete Fourier transform operator,
TV(⋅) is 3D total variation operator, $$$\|⋅\|_1$$$ is $$$\ell_1$$$-norm
operator, $$$\|⋅\|_2$$$ is $$$\ell_2$$$-norm operator, $$$\lambda$$$ and $$$\alpha$$$ are scalar weights of TV and $$$\ell_1$$$-norm regularization operators, respectively. $$$\epsilon$$$ is the bound on the data fidelity error.
The CS reconstruction was implemented using Alternating Direction Method of
Multipliers13 of the BART toolbox14.
In this
study, we increased TE together with the acceleration factor(Acc) of
SPI imaging reducing the scan time below 6 minutes. As a result, the number of phase-encoded
samples is increased(Fig. 1c). The performance of the method is compared to the
WARP (Siemens, Erlangen, Germany) sequence, which is based on high bandwidth
TSE and VAT technique4.
A phantom
was constructed using a clinical hip prosthesis (Aesculap AG, Tuttlingen,
Germany; Fig. 2) consisting of porcelain and titanium alloy. Phantom experiments were performed
at 1.5T(Aera, Siemens, Erlangen) and 3T MRI systems (Prisma Fit, Siemens,
Erlangen) using a 4‑channel flex coil for signal reception. In-vivo data of the maxilla and the knee were acquired of two volunteers with metallic orthopaedic
implants using T1w-WARP, PETRA, and csPETRA sequences and a 20-ch head coil and
15-ch Tx/Rx knee coil (QED, Cleveland, OH), respectively. PETRA/csPETRA
acquisition parameters were as follows: (1x1x1mm)3 voxel size,
TR=2ms, TE=0.05/0.17-0.18ms, tacq=6min, , and $$$\alpha$$$=3°. Imaging parameters of WARP at 1.5T/3T: TR=1390ms, TE=5.8/6.1ms,
FOV=256x256mm, voxel size=(1x1x2)mm3, $$$\alpha$$$=150°, ETL=8.
System
reported time averaged RF power and whole-body SAR of WARP/csPETRA sequences at
1.5T was 99/19.3Watt and 1.7/0.3Watt/kg, whereas they were 25.4/7.1Watt and
1.9/0.6Watt/kg at 3T.Results
In Fig. 2 WARP
and PETRA images are shown at 1.5T and 3T together with a photograph of the implant.
PETRA and csPETRA outperformed the WARP technique in terms of the size of the
near metal artifacts. In 3T images of WARP, PETRA and csPETRA, diameter of the
artifacts at the head and
acetabular component of the hip prosthesis was 10.9cm, 8cm, and 6.6 cm,
respectively. csPETRA method has further reduced ringing and signal pile-up
artifacts for about 10% compared to PETRA(red arrows, Fig. 2). At 1.5T,
phantom image of csPETRA had spatially heterogeneous signal intensity(Fig 2a).
In
Fig. 3, in-vivo WARP, PETRA, and csPETRA transverse slices of the maxilla are presented.
The PETRA-based methods showed substantial improvement over WARP technique in
terms of artifacts. Sizes of the signal void artifacts at WARP, PETRA, and
csPETRA images were 3cm, 2.2cm, and 1.5cm, respectively. csPETRA with TE=0.18ms
showed minimum artifact, e.g., incisor
teeth of the maxilla were made partly visible (red arrows, Fig. 3). In Fig. 4, knee images of a volunteer with a metallic screw for graft fixation in anterior
cruciate ligament reconstruction at the tibia is presented. csPETRA images were slightly blurrier
compared to PETRA images but SNR was only 5% lower despite significant decrease
of effective acquisition time.Discussion
csPETRA
reduces artifacts near metal significantly while preserving the anatomical
details in clinically relevant scan times(≤6 minutes). With csPETRA, short-T2
isotropic 3D MRI of the maxilla and knee with metallic prosthesis was possible. Another
advantage of the csPETRA is 3-fold lower SAR deposition compared to SE-based
techniques in expense of the soft tissue contrast. Magnetization preparation
pulses and longer pulse durations with higher flip angles can be applied to
improve contrast.
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