Reconstructing continuous surfaces from 3D point clouds is a fundamental operation in 3D geometry processing. Several recent state-of-the-art methods address this problem using neural networks to learn signed distance functions (SDFs). In this paper, we introduce Neural-Pull, a new approach that is simple and leads to high quality SDFs. Specifically, we train a neural network to pull query 3D locations to their closest neighbors on the surface using the predicted signed distance values and the gradient at the query locations, both of which are computed by the network itself. The pulling operation moves each query location with a stride given by the distance predicted by the network. Based on the sign of the distance, this may move the query location along or against the direction of the gradient of the SDF. This is a differentiable operation that allows us to update the signed distance value and the gradient simultaneously during training. Our outperforming results under widely used benchmarks demonstrate that we can learn SDFs more accurately and flexibly for surface reconstruction and single image reconstruction than the state-of-the-art methods.

本文介绍了一种新的方法Neural-Pull，利用神经网络简单且高质量地学习表面的符号距离函数，通过网络本身计算的符号距离值和查询位置的梯度来训练神经网络。在广泛使用的基准测试下，我们的结果优于现有最先进的方法，展示了对表面重建和单张图像重建可以更准确和灵活地学习符号距离函数。

神经拉力：学习从点云中学习符号距离函数并学习将空间拉到表面上