Estimation of an accurate PET attenuation correction factor is crucial for quantitative PET imaging, and is an active area of research in simultaneous PET/MR. In this work, we propose a deep learning-based image segmentation method to improve the accuracy of PET attenuation correction for simultaneous PET/MR imaging of the human head. We compare segmentation methods for accurate tissue segmentation and attenuation map generation. We demonstrate improved PET image reconstruction accuracy using the proposed deep learning-based method.
Materials: Six subjects were scanned using a 3T PET/MR scanner (Siemens 3T Biograph mMR, Erlangen, Germany). Dual ultra-short time echo (dUTE), T1w MPRAGE, and T2w sequences were acquired for μ-map generation. Five subjects underwent a PET scan with 100MBq 18F-FDG tracer.
Neural network architecture and training: Figure 1 shows the deep learning network used for segmentation. It consists of a 49-layer deep residual encoder and a 10-layer deep convolutional decoder3. The input to the network is T1w, T2w, UTE1, UTE2 and probabilistic maps for bone, soft tissue and air. The output of the network is a classification of each pixel into either bone, soft tissue or air. Four subjects are used to train the network, and two for testing. The network is trained with stochastic gradient descent back propagation using caffe4.
μ-maps calculation: Bones, soft tissue and air μ values were set to 0.151 cm-1, 0.1 cm-1 and 0 cm-1, respectively. The μ-map was further smoothed with a 2mm Gaussian filter to obtain the final μ-map (μ-mapDL). The deep learning-based method was compared with the following μ-maps:
1. Reference (μ-mapref) – manually segmented UTE images for three tissue types: bone (μ=0.151 cm-1), soft tissue (0.1 cm-1) and air (0 cm-1) with segmentation performed under the supervision of a clinical radiologist;
2. UTE (μ-mapUTE) – vendor provided technique based on dUTE images; and
3. pseudo-CT (μ-mappCT) – atlas-based technique introduced by Burgos et. al.5
Reconstruction: Siemens e7tools software was used to reconstruct the PET data. Ordered-subsets expectation maximization algorithm (21 subsets, 3 iterations) and a point spread function modelling were used. The reconstructed images were smoothed using a 5mm Gaussian filter. The μ-mapref-based PET (PETref) image was taken as a reference, and normalized error maps were used for the comparison amongst methods, given as: RE=100%*(PETX - PETref)/ PETref, where PETX is the PET image obtained using one of the above μ-maps.
Segmentation: Dice coefficients for all methods are presented in Table 1. We found significant improvements in bone segmentation compared to UTE and state-of-the-art pseudo-CT technique. Air segmentation scores for all techniques are similar.
μ-maps: As shown in Figure 2, the proposed μ-mapDL method shows more accurate classification of bone across the whole head than both μ-mapUTE and μ-mappCT. The greatest improvement was observed in segmentation of cervical vertebrae. Excellent segmentation of cortical bone is noted with μ-mapDL, whereas the μ-mappCT shows significant overestimation of that region.
Reconstructed images: Figure 3 shows reconstructed PET images and normalized errors for a representative subject. Significant improvements are found in the whole brain and cortical bone using the proposed technique, compared to the other techniques. The subject level observations are reflected at group level, as shown in Figure 4. Calculated mean relative error for the whole brain is smaller for PETDL (-0.9%) compared to PETpCT and PETUTE (-3.6% and 1.7%, respectively).
1 Kaushik, S. et al. Deep Learning based pseudo-CT estimation using ZTE and Dixon MR images for PET attenuation correction. ISMRM 2017 (2017).
2 Palmera Leynes, A. et al. Direct Pseudo-CT Image Synthesis Using Deep Learning for Pelvis PET/MR Attenuation Correction. ISMRM 2017 (2017).
3 Pawar, K., Chen, Z., Shah, N. J. & Egan, G. Residual encoder and Convolutional Decoder Neural Network for Glioma Segmentation. Proceedings of the 6th MICCAI BraTS Challenge (2017).
4 Jia, Y. et al. in Proceedings of the 22nd ACM international conference on Multimedia. 675-678 (ACM).
5 Burgos, N. et al. Attenuation correction synthesis for hybrid PET-MR scanners: application to brain studies. IEEE Trans Med Imaging 33, 2332-2341, doi:10.1109/TMI.2014.2340135 (2014).