Learning Rotation-Invariant Representations of Point Clouds Using Aligned Edge Convolutional Neural Networks
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Abstract (arXiv)
Point cloud analysis is an area of increasing interest due to the development of 3D sensors that are able to rapidly measure the depth of scenes accurately. Unfortunately, applying deep learning techniques to perform point cloud analysis is non-trivial due to the inability of these methods to generalize to unseen rotations. To address this limitation, one usually has to augment the training data, which can lead to extra computation and require larger model complexity. This paper proposes a new neural network called the Aligned Edge Convolutional Neural Network (AECNN) that learns a feature representation of point clouds relative to Local Reference Frames (LRFs) to ensure invariance to rotation. In particular, features are learned locally and aligned with respect to the LRF of an automatically computed reference point. The proposed approach is evaluated on point cloud classification and part segmentation tasks. This paper illustrates that the proposed technique outperforms a variety of state of the art approaches (even those trained on augmented datasets) in terms of robustness to rotation without requiring any additional data augmentation.
Key facts. Cited by 12 papers in the map (data through 7 Oct 2026). Builds on 22 of its 33 references that are in the map. First posted on arXiv 2 Jan 2021.
Builds on
22 of 33 references.
References · 22
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10 more
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Built on by
Citing papers per year: 2022: 5; 2023: 3; 2024: 3; 2025: 1.
12 papers.
- 2022On the effectiveness of persistent homologycited by 20
- 2022The Devil is in the Pose: Ambiguity-free 3D Rotation-invariant Learning via Pose-aware Convolutioncited by 18
- 2024RI-MAE: Rotation-Invariant Masked AutoEncoders for Self-Supervised Point Cloud Representation Learningcited by 15
- 2024Local-consistent Transformation Learning for Rotation-invariant Point Cloud Analysiscited by 6
- 2023CRIN: Rotation-Invariant Point Cloud Analysis and Rotation Estimation via Centrifugal Reference Framecited by 4
- 2024MaskLRF: Self-supervised Pretraining via Masked Autoencoding of Local Reference Frames for Rotation-invariant 3D Point Set Analysiscited by 4
- 2022Learning a Task-specific Descriptor for Robust Matching of 3D Point Cloudscited by 3
- 2022A Simple Strategy to Provable Invariance via Orbit Mappingcited by 2
- 2022TetraSphere: A Neural Descriptor for O(3)-Invariant Point Cloud Analysiscited by 2
- 2023General Rotation Invariance Learning for Point Clouds via Weight-Feature Alignmentcited by 2
- 2023Self-supervised Learning of Rotation-invariant 3D Point Set Features using Transformer and its Self-distillationcited by 2
- 2025Hierarchical Direction Perception via Atomic Dot-Product Operators for Rotation-Invariant Point Clouds Learningcited by 0
- 2025Hierarchical Direction Perception via Atomic Dot-Product Operators for Rotation-Invariant Point Clouds Learning11 Nov 2025
- 2024RI-MAE: Rotation-Invariant Masked AutoEncoders for Self-Supervised Point Cloud Representation Learning31 Aug 2024
- 2024Local-consistent Transformation Learning for Rotation-invariant Point Cloud Analysis17 Mar 2024
- 2024MaskLRF: Self-supervised Pretraining via Masked Autoencoding of Local Reference Frames for Rotation-invariant 3D Point Set Analysis1 Mar 2024
- 2023Self-supervised Learning of Rotation-invariant 3D Point Set Features using Transformer and its Self-distillation9 Aug 2023
- 2023CRIN: Rotation-Invariant Point Cloud Analysis and Rotation Estimation via Centrifugal Reference Frame6 Mar 2023
- 2023General Rotation Invariance Learning for Point Clouds via Weight-Feature Alignment20 Feb 2023
- 2022TetraSphere: A Neural Descriptor for O(3)-Invariant Point Cloud Analysis26 Nov 2022
- 2022Learning a Task-specific Descriptor for Robust Matching of 3D Point Clouds26 Oct 2022
- 2022A Simple Strategy to Provable Invariance via Orbit Mapping24 Sep 2022
- 2022On the effectiveness of persistent homology21 Jun 2022
- 2022The Devil is in the Pose: Ambiguity-free 3D Rotation-invariant Learning via Pose-aware Convolution30 May 2022