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arXiv 2602.00542cs.CVcs.LG
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NPNet:一种具有自适应高斯-傅里叶位置编码的非参数网络用于3D分类和分割

NPNet: A Non-Parametric Network with Adaptive Gaussian-Fourier Positional Encoding for 3D Classification and Segmentation

Sirjan University of Technology(锡尔詹理工大学);Clemson University(克莱姆森大学)

Mohammad Saeid, Amir Salarpour, Pedram MohajerAnsari, Mert D. Pesé

AI总结:

NPNet通过自适应高斯-傅里叶位置编码实现3D点云分类和分割,无需学习权重,具有高效的内存和推理性能。

摘要:

我们提出了NPNet,一种用于3D点云分类和部分分割的完全非参数方法。NPNet不包含任何学习权重;相反,它通过确定性操作符如最远点采样、k近邻和池化来构建点特征。我们的关键思想是一种自适应高斯-傅里叶位置编码,其带宽和高斯余弦混合从输入几何中选择,帮助该方法在不同尺度和采样密度下保持稳定。对于分割,我们还加入了固定频率的傅里叶特征,以在自适应编码的同时提供全局上下文。在ModelNet40/ModelNet-R、ScanObjectNN和ShapeNetPart上,NPNet在非参数基线中表现强劲,并且在ModelNet40的少样本设置中特别有效。NPNet还比先前的非参数方法提供了更有利的内存使用和推理时间。

英文摘要:

We present NPNet, a fully non-parametric approach for 3D point-cloud classification and part segmentation. NPNet contains no learned weights; instead, it builds point features using deterministic operators such as farthest point sampling, k-nearest neighbors, and pooling. Our key idea is an adaptive Gaussian-Fourier positional encoding whose bandwidth and Gaussian-cosine mixing are chosen from the input geometry, helping the method remain stable across different scales and sampling densities. For segmentation, we additionally incorporate fixed-frequency Fourier features to provide global context alongside the adaptive encoding. Across ModelNet40/ModelNet-R, ScanObjectNN, and ShapeNetPart, NPNet achieves strong performance among non-parametric baselines, and it is particularly effective in few-shot settings on ModelNet40. NPNet also offers favorable memory use and inference time compared to prior non-parametric methods

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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