通过t-FCW图表示实现统一的非参数化且可解释的点云分析
A Unified Non-Parametric and Interpretable Point Cloud Analysis via t-FCW Graph Representation
AI总结:
本文提出增强型t-FCW图表示用于点云嵌入,分析其有效性来源并设计网络,实现高效可解释的点云处理,适用于分类和分割任务。
摘要:
我们引入增强型转置全连接加权(t-FCW)图表示,将点云嵌入度量空间。尽管原始t-FCW在点云分类中表现良好,但其有效性原因和更广泛适用性尚不明确。本文分析了使增强型和原始t-FCW有效的属性,并设计网络仅使用增强型t-FCW作为特征提取器。从可解释性角度看,我们构建了用于分类、部分分割和语义分割的记忆银行。我们的分析表明,增强型t-FCW继承了表面描述符的鲁棒性,并通过维度关系提供可解释性。这些属性使网络高效且可解释,能够在NVIDIA RTX A5000 GPU上以约7秒处理ModelNet40分类问题。重要的是,增强型t-FCW既可以作为轻量级独立基线,也可以作为现有深度模型的补充插件。
英文摘要:
We introduce an empowered transposed Fully Connected Weighted (t-FCW) graph representation to embed point clouds into a metric space. While original t-FCW has shown promising results for point cloud classification, the reasons behind its effectiveness and its broader applicability remained unclear. In this work, we analyze the properties that make the empowered and original t-FCW effective and design a network that uses the empowered t-FCW exclusively as feature extractors. From an interpretability perspective, we build memory banks for classification, part segmentation, and semantic segmentation using the empowered t-FCW. Our analysis reveals that the empowered t-FCW inherits robustness from surface descriptors, provides interpretability through dimension-wise relations. These properties enable a highly efficient and interpretable network, which processes the ModelNet40 classification problem in approximately 7 seconds on an NVIDIA RTX A5000 GPU. Importantly, empowered t-FCW can function both as a lightweight standalone baseline and as a complementary plug-in to existing deep models.
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。