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A Neural Network-Based Method for Affine 3D Registration of FMRI Time Series Using Fourier Space Subsets

机译:使用傅里叶空间子集的FMRI时间序列的仿射3D注册的基于神经网络的方法

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In this work, we present a neural network (NN)-based method for 3D affine registration of FMRI time series, which relies on a limited number of Fourier coefficients of the images to be aligned. These coefficients are comprised in a small cubic neighborhood located at the first octant of a 3D Fourier space (including the DC component). Since the affine transformation model comprises twelve parameters, the Fourier coefficients are fed into twelve NN during the learning stage, so that each NN yields the estimates of one of the registration parameters. Different sizes of subsets of Fourier coefficients were tested. The construction of the training set and the learning stage are fast requiring, respectively, 90 s and 2 to 24 s, depending on the number of input and hidden units of the NN, The mean absolute registration errors are of approximately 0.03 mm in translations and 0.05 deg in rotations (except for pitch), for the typical motion amplitudes encountered in FMRI studies. Results with an actual time series suggest that the proposed method is suited to the problem of prospective (in frame) FMRI registration, although brain activation must be simulated, and learned, by the NN.
机译:在这项工作中,我们介绍了用于FMRI时间序列的3D仿射登记的基于神经网络(NN)的方法,其依赖于要对准的图像的有限数量的傅里叶系数。这些系数包括位于位于3D傅立叶空间的第一八个八个六(包括DC分量)的小立方邻域中。由于仿射变换模型包括十二个参数,因此在学习阶段期间傅立叶系数被馈送到十二个NN中,因此每个NN产生一个注册参数的估计。测试了不同尺寸的傅里叶系数子集。训练集和学习阶段的结构快速要求,分别为90s和2至24s,这取决于Nn的输入和隐藏单元的数量,平均绝对登记误差在翻译中具有约0.03mm 0.05°的旋转(间距除外),用于在FMRI研究中遇到的典型运动幅度。结果,实际时间序列表明,所提出的方法适用于预期(框架)FMRI注册的问题,尽管必须模拟脑激活,并由NN学习。

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