Title: 3D Meta-Registration: Meta-learning 3D Point Cloud Registration Functions. Abstract: Learning robust 3D point cloud registration functions with deep neural networks has emerged as a powerful paradigm in recent years, offering promising performance in producing spatial geometric transformations for each pair of 3D point clouds. However, 3D point cloud registration functions are often generalized from extensive training over a large volume of data to learn the ability to predict the desired geometric transformation to register 3D point clouds. Generalizing across 3D point cloud registration functions requires robust learning of priors over the respective function space and enables consistent registration in presence of significant 3D structure variations. In this paper, we proposed to formalize the learning of a 3D point cloud registration function space as a meta-learning problem, aiming to predict a 3D registration model that can be quickly adapted to new point clouds with no or limited training data. Specifically, we define each task as the learning of the 3D registration function which takes points in 3D space as input and predicts the geometric transformation that aligns the source point cloud with the target one. Also, we introduce an auxiliary deep neural network named 3D registration meta-learner that is trained to predict the prior over the respective 3D registration function space. After training, the 3D registration meta-learner, which is trained with the distribution of 3D registration function space, is able to uniquely parameterize the 3D registration function with optimal initialization to rapidly adapt to new registration tasks. We tested our model on the synthesized dataset ModelNet and FlyingThings3D, as well as real-world dataset KITTI. Experimental results demonstrate that 3D Meta-Registration achieves superior performance over other previous techniques (e.g. FlowNet3D).