Unsupervised Learning of Probabilistic Diffeomorphic Registration for Images and Surfaces
arXiv:1903.03545 · doi:10.1016/j.media.2019.07.006
Abstract
Classical deformable registration techniques achieve impressive results and offer a rigorous theoretical treatment, but are computationally intensive since they solve an optimization problem for each image pair. Recently, learning-based methods have facilitated fast registration by learning spatial deformation functions. However, these approaches use restricted deformation models, require supervised labels, or do not guarantee a diffeomorphic (topology-preserving) registration. Furthermore, learning-based registration tools have not been derived from a probabilistic framework that can offer uncertainty estimates. In this paper, we build a connection between classical and learning-based methods. We present a probabilistic generative model and derive an unsupervised learning-based inference algorithm that uses insights from classical registration methods and makes use of recent developments in convolutional neural networks (CNNs). We demonstrate our method on a 3D brain registration task for both images and anatomical surfaces, and provide extensive empirical analyses. Our principled approach results in state of the art accuracy and very fast runtimes, while providing diffeomorphic guarantees. Our implementation is available at http://voxelmorph.csail.mit.edu.
MedIA: Medical Image Analysis (MICCAI2018 Special Issue). Expands on MICCAI 2018 paper (arXiv:1805.04605) by introducing an extension to anatomical surface registration, new experiments, and analysis of diffeomorphic implementations. Keywords: medical image registration; diffeomorphic; invertible; probabilistic modeling; variational inference. Code available at http://voxelmorph.csail.mit.edu. arXiv admin note: text overlap with arXiv:1805.04605
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