Cardiac late gadolinium enhancement (LGE) imaging has become a reference clinical tool for assessing myocardial scar and viability. Despite superior signal-to-noise-ratio of 3D LGE techniques, current 3D breath-hold acquisitions are still limited by scan time and low-resolution, especially in the through-plane direction. Consequently, most clinical protocols include three anisotropic LGE acquisitions in different views to better visualize myocardial fibrosis in different orientations. Nevertheless, assessing myocardial viability in different views remains tedious and time-consuming. In this study, we sought to achieve isotropic 3D LGE by combining low-resolution anisotropic acquisitions using a 3D patch-based super-resolution reconstruction.
The proposed isotropic 3D reconstruction scheme integrates anatomical structure information from 3D patch neighbourhoods through sparse representation, exploiting the redundancy of non-local 3D patches in the acquired data itself. The optimization problem iterates between a SR reconstruction1, which creates a high-resolution isotropic volume from anisotropic acquisitions, and a low-complexity 3D patch-based reconstruction which enables high-SNR reconstruction (Fig.1). The two sub-problems are solved iteratively into an effective Augmented Lagrangian (AL) scheme:
Super-Resolution: Given $$$Z$$$ anisotropic measurements ($$$Z=3$$$ in this study), representing the same object in nearly orthogonal directions, the isotropic volume $$$x$$$ is found by solving the following regularized least squares optimization problem:
$$\underset{x}{\mathrm{argmin}} \,\frac{1}{2}\Vert SBTx-\rho\Vert_2^2+\frac{\mu}{2}\Vert x-\omega-b\Vert_2^2$$
where $$$T$$$ is a rigid image transformation that takes the SR image from the desired reconstructed orientation to the orientation of the ith acquisition, $$$SB$$$ is a slice selection operator including a blurring operator $$$B$$$ and a downsampling operator $$$S$$$. This information is extracted from the images’ DICOM file headers. The regularization parameter $$$\mu$$$ imposes the degree of closeness to the acquired data, $$$b$$$ denotes the AL parameter and $$$\omega$$$ the high-SNR isotropic volume obtained with the following 3D-patch reconstruction.
3D-Patch: A 3D block-matching2,3 algorithm is used to exploit redundancies in the reconstructed volume. 3D blocks are extracted and compared to a reference block using the l2-norm distance. The L-most similar blocks to the reference are selected, vectorised and concatenated into a sparse 2D matrix. This 2D matrix contains a high degree of non-local similarity and redundancy and therefore exhibits a low-rank structure. Sparsity of the matrix is enforced using singular values decomposition and by hard thresholding the singular values below a specific threshold. The denoised 3D blocks are then placed back to their original positions by averaging.
Imaging: Thirteen patients (13 men, 56±13 years) with a remote (>6 months) MI underwent CMR using a 1.5T GE Signa system with an 8-channel cardiac coil. Three additional patients with Duchenne muscular dystrophy were recruited and underwent conventional LGE imaging. Three breath-held 3D LGE were performed 15 minutes after Gadolinium injection with the following acquisition parameters: TR/TE=3.46/1.28ms, TI adjusted to cancel healthy myocardial signal, matrix=256x256x20, AT=~15s x 3 breath-holds, with 1.25mm in-plane resolution and 4.5/8mm slice thickness. The proposed technique was used to reconstruct a single 3D isotropic volume of resolution 1.25x1.25x1.25mm3 with the following parameters: block size=15x15x15, L=100, $$$\mu=1$$$, and AL-iterations=6. The reconstructed volumes were compared to conventional SR reconstructions (Beltrami1, Tikhonov1) and were evaluated for quality by two experienced cardiologists.
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