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arXiv 2211.14456cs.CV

TetraSphere:一种用于O(3)不变点云分析的神经描述符

TetraSphere: A Neural Descriptor for O(3)-Invariant Point Cloud Analysis

Computer Vision Laboratory, Department of Electrical Engineering, Linköping University(林雪平大学电气工程系计算机视觉实验室)

Pavlo Melnyk, Andreas Robinson, Michael Felsberg, Mårten Wadenbäck

AI总结:

本文提出TetraSphere,一种基于可旋转3D球神经元和向量神经元的O(3)不变描述符,通过端到端训练提升点云旋转不变性,在ScanObjectNN和ModelNet40上取得新突破。

摘要:

在许多实际应用中,3D点云分析需要旋转不变性。本文提出一种可学习的描述符,其在3D旋转和反射下保持不变,即O(3)作用,利用最近引入的可旋转3D球神经元和向量神经元。具体而言,我们提出将3D球神经元嵌入到4D向量神经元中,利用端到端训练。在我们的方法中,我们执行TetraTransform——将3D输入嵌入到4D的等变嵌入,由可旋转神经元构建,并使用向量神经元提取更深层的O(3)等变特征。将TetraTransform整合到VN-DGCNN框架中,称为TetraSphere,参数数量增加不到0.0002%。TetraSphere在具有挑战性的ScanObjectNN子集的随机旋转真实世界物体扫描分类中设定了新的SOTA。此外,TetraSphere在随机旋转的合成数据上优于所有等变方法:在ModelNet40上分类对象并在ShapeNet形状上分割部分。因此,我们的结果揭示了可旋转3D球神经元在3D欧几里得空间学习中的实际价值。代码可在https://github.com/pavlo-melnyk/tetrasphere获取。

英文摘要:

In many practical applications, 3D point cloud analysis requires rotation invariance. In this paper, we present a learnable descriptor invariant under 3D rotations and reflections, i.e., the O(3) actions, utilizing the recently introduced steerable 3D spherical neurons and vector neurons. Specifically, we propose an embedding of the 3D spherical neurons into 4D vector neurons, which leverages end-to-end training of the model. In our approach, we perform TetraTransform--an equivariant embedding of the 3D input into 4D, constructed from the steerable neurons--and extract deeper O(3)-equivariant features using vector neurons. This integration of the TetraTransform into the VN-DGCNN framework, termed TetraSphere, negligibly increases the number of parameters by less than 0.0002%. TetraSphere sets a new state-of-the-art performance classifying randomly rotated real-world object scans of the challenging subsets of ScanObjectNN. Additionally, TetraSphere outperforms all equivariant methods on randomly rotated synthetic data: classifying objects from ModelNet40 and segmenting parts of the ShapeNet shapes. Thus, our results reveal the practical value of steerable 3D spherical neurons for learning in 3D Euclidean space. The code is available at https://github.com/pavlo-melnyk/tetrasphere.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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