TRFit: learning 3D point cloud normal estimation with transformer

Hongwen Liu, Yufeng Wang, Z. Ma
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Abstract

In this study, we provide an approach named TRFit for unstructured 3D point cloud normal estimation. It handles noise and uneven densities point clouds well. Recently, learning-based normal estimation methods have significantly outperformed traditional methods on benchmark normal estimation datasets. In order to estimate normals, they frequently employed neural networks to learn point-wise weights for weighted least squares polynomial surfaces fitting. However, existing methods often ignore local geometric relationships, which will make the fitted surface significantly different from the real. To this end, we propose to use graph convolutional to learn local structural information. Meanwhile, we suggest the Geometric Relation Transformer (GRT), a transformer-based scale aggregation module, to fully utilize points from various neighborhood sizes. It can adaptively capture the relations between different regions. We achieve state-of-the-art results on the baseline normal estimation dataset, and experimental results show that TRFit obviously improves the accuracy of normal estimates, preserves their details. Moreover, it exhibits robustness to noise, density variations, and outliers. Besides, we demonstrate its application to surface reconstruction and denoising.
TRFit:用变压器学习三维点云法向估计
在本研究中,我们提供了一种名为TRFit的非结构化三维点云法向估计方法。它处理噪音和不均匀密度点云很好。近年来,基于学习的正态估计方法在基准正态估计数据集上的性能明显优于传统方法。为了估计正态线,他们经常使用神经网络来学习加权最小二乘多项式曲面拟合的点加权。然而,现有的拟合方法往往忽略了局部几何关系,使拟合曲面与实际曲面存在较大差异。为此,我们提出使用图卷积来学习局部结构信息。同时,我们建议使用基于变压器的尺度聚合模块几何关系变压器(Geometric Relation Transformer, GRT)来充分利用不同邻域大小的点。它可以自适应地捕捉不同区域之间的关系。我们在基线正态估计数据集上取得了最先进的结果,实验结果表明,TRFit明显提高了正态估计的准确性,保留了它们的细节。此外,它对噪声、密度变化和异常值具有鲁棒性。此外,我们还演示了它在表面重建和去噪中的应用。
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