English

DeepFit: 3D Surface Fitting via Neural Network Weighted Least Squares

Computer Vision and Pattern Recognition 2020-03-25 v1

Abstract

We propose a surface fitting method for unstructured 3D point clouds. This method, called DeepFit, incorporates a neural network to learn point-wise weights for weighted least squares polynomial surface fitting. The learned weights act as a soft selection for the neighborhood of surface points thus avoiding the scale selection required of previous methods. To train the network we propose a novel surface consistency loss that improves point weight estimation. The method enables extracting normal vectors and other geometrical properties, such as principal curvatures, the latter were not presented as ground truth during training. We achieve state-of-the-art results on a benchmark normal and curvature estimation dataset, demonstrate robustness to noise, outliers and density variations, and show its application on noise removal.

Keywords

Cite

@article{arxiv.2003.10826,
  title  = {DeepFit: 3D Surface Fitting via Neural Network Weighted Least Squares},
  author = {Yizhak Ben-Shabat and Stephen Gould},
  journal= {arXiv preprint arXiv:2003.10826},
  year   = {2020}
}

Comments

arXiv admin note: text overlap with arXiv:1812.00709

R2 v1 2026-06-23T14:25:22.084Z