Compressed sensing/constrained reconstruction methods have been successfully applied to myocardial perfusion imaging for improving in-plane resolution and improving slice coverage without losing temporal resolution.
Two convolutional neural networks (CNNs) were trained separately on real and imaginary parts of the complex image data. Each CNN was 48 layers deep. Each convolutional layer (with 64 3x3 filters) was followed by a batch normalization layer [6] that was followed by a rectified linear unit layer [7], all repeating in that order. We used drop-out regularization to prevent overfitting to the training data [8]. Images from undersampled k-t space data after STCR were input to the network. The network was trained to learn the residual STCR artifacts obtained by subtracting ground-truth reconstructions from STCR images. Figure 1 shows an illustration of the proposed residual artifact learning framework.
We tested the above artifact learning (AL) framework on gated Cartesian [9] and ungated radial data [10] using separate training networks. STCR was done for each coil separately [1] for the Cartesian data. Joint multi-coil STCR reconstructions [11] were done for the radial data. ‘Truth’ images were obtained from (i) Inverse Fourier Transform reconstructions of fully sampled k-t space data for the Cartesian acquisitions and (ii) from 24-ray STCR for the radial acquisitions. STCR reconstructions from 21 phase encodes (R=4.5 with variable density undersampling for Cartesian data) and 8 radial rays were used as inputs to the training networks. All of the perfusion data were acquired on a Siemens 3T scanner. For the Cartesian acquisitions TR ranged from 140–175 ms, TE ranged from 0.98–1.36 ms, and slice thickness ranged from 7–8 mm [9]. All of the radial data with the golden ratio based angular spacing were acquired with identical scan parameters [10], TR=2.2 msec, TE=1.2 msec, slice thickness=8 mm. 40 x 40 spatial patches were extracted and training was done for 50 epochs on a system with two NVIDIA K80 GPUs which took ~48 hours. A total of 256 perfusion datasets (including slices, coils and stress and rest injections) from six patients were used for training the Cartesian network. For training the radial network 160 perfusion datasets from 10 patients were used. Datasets from two patients that were not used in training the CNNs were used for testing.
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