It is vital to infer signed distance functions (SDFs) from 3D point clouds. The latest methods rely on generalizing the priors learned from large scale supervision. However, the learned priors do not generalize well to various geometric variations that are unseen during training, especially for extremely sparse point clouds. To resolve this issue, we present a neural network to directly infer SDFs from single sparse point clouds without using signed distance supervision, learned priors or even normals. Our insight here is to learn surface parameterization and SDFs inference in an end-to-end manner. To make up the sparsity, we leverage parameterized surfaces as a coarse surface sampler to provide many coarse surface estimations in training iterations, according to which we mine supervision and our thin plate splines (TPS) based network infers SDFs as smooth functions in a statistical way. Our method significantly improves the generalization ability and accuracy in unseen point clouds. Our experimental results show our advantages over the state-of-the-art methods in surface reconstruction for sparse point clouds under synthetic datasets and real scans.The code is available at \url{https://github.com/chenchao15/NeuralTPS}.

本文提出了一种基于神经网络的方法，可以直接从单个稀疏点云中推断有符号距离函数（SDF），构建了表面参数化和SDF推断的端到端方法，通过利用参数化表面作为粗略表面采样器，以统计方式推断SDF，并在合成数据集和真实扫描下的稀疏点云表面重构方面显著提高了我们对现有技术的优势。

从单个稀疏点云中无监督地推导符号距离函数，无需学习先验知识