Neuroimaging for foetus brain is a challenging problem in which there are several issues to be solved. We proposed a general solution and finally reconstruct the lateral ventricle volume that is of great significance for clinical study. Firstly, slices were realigned to correct for the motion between acquisition of individual slices including transposition and rotation. Secondly, slices with motion artefacts were excluded and inconsistencies in intensity patterns resulting from the motion were estimated and corrected for. Thirdly, the structure of lateral ventricle was segmented via adaptive segmentation. Finally, the volume was reconstructed from irregularly sampled data.
In this paper, we acquired an amount of MR image datasets using Philips Multiva (PHILIPS-M36JUBL) 1.5 Tesla two-dimensional balanced turbo field echo (BTFE) sequence, with the gestation week from 26 to 37, slice thickness of 6 to 7mm, flip angle of 90 degree, imaging frequency of 63.88, slice spacing of 1mm, echo time of 2.783ms, slice amount of 60 to 80, repetition time of 5.566ms, field of view of 250*250*66mm, reconstruction voxel size of 0.391mm, reconstruction matrix of 640mm, acquisition time of 80 to 100s, pixel spacing of 0.390625\0.390625. We model the imaging procedure as a linear model, in which the motion, blur, downsampling and bias operators were combined as the noise operator from the original high-resolution (HR) image stack $$$x$$$ to the observed low-resolution (LR) image stack $$$x_k^{\text{LR}}$$$. The data acquisition procedure can be denoted as
$$x_k^{\text{LR}}=L_kG_kB_kM_kx+n_k~\sim H_kx+n_k$$
Based on this model, we process the image datasets as following, and the flowchart of our approach is given by Figure 1. Firstly, the slices in the image stacks were realigned using convex optimisation based on total variation (TV) semi-norm,12 by which the motion artefact were decreased relatively.
$$\min_{x\in X} ||x||_{\text{TV}}+\frac{\lambda}{2}\sum_{k=1}^K ||H_kx-x_k^{\text{LR}}||^2\text{ s.t. }x\geq 0$$
Secondly, the lateral ventricle structure was segmented using adaptive segmentation,13 in which the bias field was estimated using Bayesian method for conventional intensity-based segmentation.14 Thirdly, the image stacks of the same gestation week were combined using sparse representation15 and registration via Elastix16, by which the super resolution reconstruction for lateral ventricle volume was realised. The procedure of super resolution reconstruction is given by Figure 2.
$$\min ||\alpha||_0\mbox{ s.t. }||FD_l\alpha-Fy||^2_2\leq \epsilon$$
Finally, the reconstructed volume was interpolated and smoothed using Bézier plane.17 Our approach implemented the foetal brain volume development shown by image reconstruction as well as several filtering methods aiming to improve the accuracy.
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