Point-GN: A Non-Parametric Network Using Gaussian Positional Encoding for Point Cloud Classification
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Abstract (arXiv)
This paper introduces Point-GN, a novel non-parametric network for efficient and accurate 3D point cloud classification. Unlike conventional deep learning models that rely on a large number of trainable parameters, Point-GN leverages non-learnable components-specifically, Farthest Point Sampling (FPS), k-Nearest Neighbors (k-NN), and Gaussian Positional Encoding (GPE)-to extract both local and global geometric features. This design eliminates the need for additional training while maintaining high performance, making Point-GN particularly suited for real-time, resource-constrained applications. We evaluate Point-GN on two benchmark datasets, ModelNet40 and ScanObjectNN, achieving classification accuracies of 85.29% and 85.89%, respectively, while significantly reducing computational complexity. Point-GN outperforms existing non-parametric methods and matches the performance of fully trained models, all with zero learnable parameters. Our results demonstrate that Point-GN is a promising solution for 3D point cloud classification in practical, real-time environments.
Key facts. Cited by 8 papers in the map (data through 7 Oct 2026). Builds on 30 of its 50 references that are in the map. First posted on arXiv 4 Dec 2024.
Builds on
30 of 50 references.
References · 30
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18 more
- 2019RandLA-Net: Efficient Semantic Segmentation of Large-Scale Point Cloudscited by 584
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- 2020Self-Supervised Few-Shot Learning on Point Cloudscited by 66
- 2022Meta Architecture for Point Cloud Analysiscited by 39
- 2023Parameter is Not All You Need: Starting from Non-Parametric Networks for 3D Point Cloud Analysiscited by 34
- 20213D Medical Point Transformer: Introducing Convolution to Attention Networks for Medical Point Cloud Analysiscited by 23
- 2024Discovering New Shadow Patterns for Black-Box Attacks on Lane Detection of Autonomous Vehiclescited by 2
Built on by
Citing papers per year: 2025: 2; 2026: 6.
8 papers.
- 2025Point-LN: A Lightweight Framework for Efficient Point Cloud Classification Using Non-Parametric Positional Encodingcited by 3
- 2025Enhancing 3D Point Cloud Classification with ModelNet-R and Point-SkipNetcited by 3
- 2026NPNet: A Non-Parametric Network with Adaptive Gaussian-Fourier Positional Encoding for 3D Classification and Segmentationcited by 1
- 2026SLNet: A Super-Lightweight Geometry-Adaptive Network for 3D Point Cloud Recognitioncited by 1
- 2026A Unified Non-Parametric and Interpretable Point Cloud Analysis via t-FCW Graph Representationcited by 0
- 2026RadiusFPS: Efficient Farthest Point Sampling on CPUs and GPUs via Spherical Voxel Pruningcited by 0
- 2026A Robust Point Cloud Analysis Framework Inspired By Primary Visual Cortexcited by 0
- 2026Synthetic LiDAR Data Generation and Deterministic Downsampling for Point Cloud Classification on the Edgecited by 0
- 2026Synthetic LiDAR Data Generation and Deterministic Downsampling for Point Cloud Classification on the Edge7 Aug 2026
- 2026A Robust Point Cloud Analysis Framework Inspired By Primary Visual Cortex12 Jun 2026
- 2026RadiusFPS: Efficient Farthest Point Sampling on CPUs and GPUs via Spherical Voxel Pruning4 Jun 2026
- 2026A Unified Non-Parametric and Interpretable Point Cloud Analysis via t-FCW Graph Representation14 May 2026
- 2026SLNet: A Super-Lightweight Geometry-Adaptive Network for 3D Point Cloud Recognition8 Mar 2026
- 2026NPNet: A Non-Parametric Network with Adaptive Gaussian-Fourier Positional Encoding for 3D Classification and Segmentation31 Jan 2026
- 2025Enhancing 3D Point Cloud Classification with ModelNet-R and Point-SkipNet5 Sep 2025
- 2025Point-LN: A Lightweight Framework for Efficient Point Cloud Classification Using Non-Parametric Positional Encoding24 Jan 2025