Late gadolinium enhancement cardiac magnetic resonance (LGE-CMR) has enabled the accurate myocardial tissue characterization. Due to practical considerations, the acquisition of anisotropic two-dimensional (2D) stack volumes, with low through-plane resolution, still prevails in the clinical routine. We propose a deep learning-based method for reconstructing a super-resolved three-dimensional LGE-CMR data-set from a low resolution 2D short-axis stack volume. The method directly learns the residuals between the high and low resolution images. Results on clinical data-sets show that the proposed technique outperforms the state-of-the-art with regard to image quality. The fast speed of our model furthers facilitates its adoption for practical usage.
(i) Single image network architecture: We adopt a deep CNN architecture6 to perform the SISR task for the LGE-CMR data. A deconvolution layer is applied directly to the LR input image to learn the optimal initial up-scaling filters for the specific SR application. The output of the deconvolution layer is then fed to a concatenation of six convolutional layers and rectified linear units (ReLUs)7 to estimate the non-linear mapping. The intermediate feature maps hj(n) at layer n are computed as
$$h_j^{(n)}=max(0,\sum_{k=1}^Kh_k^{(n-1)}*w_{kj}^n)$$
where * is the convolution operator, k is the filter index, j represents the specific feature map, and $$$w_{kj}^n$$$ are the convolutional layer kernels (hidden units). Our model learns the residuals between the LR input and the HR ground truth, rather than predicting the HR image itself. Hence, a simplified regression function is learnt that mostly contains high frequency components. Finally, the predicted residuals are added to the up-scaled output of the deconvolution layer to reconstruct the desired HR output (Fig. 1).
(ii) Clinical data: 28 adult congenital heart disease patients underwent transverse navigator-gated three-dimensional (3D) LGE-CMR imaging2,8 using a segmented gradient echo sequence. Imaging was performed ~15 min after Gd administration. The spatial resolution of the images was 1.25x1.25x2mm. All data were acquired on a Siemens Avanto 1.5T.
(iii) Implementation: To evaluate the SR reconstruction performance of the adopted up-scaling method, synthetic LR LGE-CMR data-sets (resolution=1.25x1.25x10mm) were generated from the acquired HR LGE-CMR data-sets using an established technique9,10. The method was compared against other conventional (linear and cubic-spline) and state-of-the-art (multi-atlas patch-match (MAPM)11) image up-scaling techniques. For the model evaluation, we relied on peak signal to noise ratio (PSNR) and structural similarity index (SSIM)12, where the navigator-gated free-breathing 3D LGE-CMR data-sets with high through-plane resolution were used as a reference for the reconstructed images. The proposed model was evaluated using two rounds of leave-four-out cross-validation. The fidelity of the super-resolved reconstructed images was evaluated using the l1 norm of the error13.
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