arXiv:2609.04202cs.CV2026-09

用曲率引导的自适应分块,实现3D网格匹配的高效高精度

TokenMatch: 3D Mesh Correspondence Transformer with Curvature-Guided Tokenisation

论文配图:TokenMatch: 3D Mesh Correspondence Transformer with Curvature-Guided Tokenisation
图 1 · 摘自论文原文
  • 基于曲率动态划分网格为语义块,提升几何特征表达能力
  • 在部分到部分匹配上平均测地误差低于现有方法,推理快于1秒
  • 无需微调即可跨完整与部分形状泛化,适合工业级三维匹配场景

尽管数据驱动的3D形状对应估计近年来取得显著进展,但在部分观测和强非等距形变下的鲁棒匹配仍具挑战。现有学习方法常依赖手工设计描述子或模板表示,而近期生成式功能映射模型存在推理成本高、可解释性差、对部分形状泛化能力弱等问题。本文提出TokenMatch,一种基于Transformer的统一框架,用于3D形状对应估计。该前馈模型仅在BeCoS(一个具有挑战性的非等距部分到部分形状匹配数据集)上训练,无需微调即可泛化至完整形状匹配。TokenMatch利用自注意力和交叉注意力机制,高效学习局部块级与点级关系及形状对之间的稠密对应。核心思想是通过形状曲率指导自适应分块,生成针对形状特性的几何描述子。我们在标准基准上评估了TokenMatch,涵盖部分与完整形状匹配任务,包括CP2P、PSMAL、BeCoS、FAUST、SCAPE和SHREC'19。实验表明,其在多数情况下优于现有方法,在平均测地误差和交并比指标上表现优异,且推理速度低于1秒。

原文摘要 · Abstract (English)

While data-driven 3D shape correspondence estimation has recently seen substantial progress, robust matching under partial observations and strong non-isometric deformations remains challenging. Existing learning-based approaches often rely on hand-crafted descriptors or template-based representations, whereas recent generative models over functional maps suffer from high inference cost, limited interpretability, and poor generalisation to partial shapes. In response to these limitations, this paper introduces TokenMatch, a new transformer-based unified model for estimating 3D shape correspondences. Our feed-forward approach trained exclusively on BeCoS, a challenging non-isometric partial-to-partial shape-matching dataset, can generalise to matching full shapes without retraining or fine-tuning. TokenMatch uses self- and cross-attention mechanisms to efficiently learn patch-level and point-level relations as well as dense correspondences between shape pairs. Our core insight is that meshes can be adaptively tokenised into patches using shape curvature guidance, enabling effective learning of shape-specific geometric descriptors for correspondence estimation. We evaluate TokenMatch on standard benchmarks for partial and full shape matching, including CP2P, PSMAL, BeCoS, FAUST, SCAPE, and SHREC'19. Our method achieves consistently high performance, in most cases outperforming existing methods for partial and full shape matching in the mean geodesic error and intersection-over-union metrics, while also running faster at sub-second inference speeds.

3D匹配Transformer曲率引导网格处理

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