用状态空间模型提升点云法向估计精度,捕捉局部几何细节。
MambaH-Fit: Rethinking Hyper-surface Fitting-based Point Cloud Normal Estimation via State Space Modelling
- 通过分层特征融合增强局部邻域几何上下文学习
- 将点云块建模为隐式超曲面,实现细粒度几何理解
- 适合需要高精度法向估计的3D重建与逆向工程场景
我们提出MambaH-Fit,一种专为基于超曲面拟合的点云法向估计设计的状态空间建模框架。现有方法在建模精细几何结构方面表现不足,限制了法向预测精度。尽管状态空间模型(如Mamba)具备线性复杂度下的长程依赖建模能力,并被用于点云处理,但现有基于Mamba的方法主要关注全局形状理解,对局部细粒度几何细节的建模仍不充分。为此,我们首先引入注意力驱动的分层特征融合(AHFF)机制,自适应融合多尺度点云块特征,显著提升局部邻域的几何上下文学习能力。在此基础上,提出逐块状态空间模型(PSSM),通过状态动态将点云块建模为隐式超曲面,实现对细粒度几何结构的有效理解,从而提升法向预测性能。在多个基准数据集上的实验表明,该方法在准确性、鲁棒性和灵活性方面均优于现有方法。消融实验进一步验证了各组件的有效性。
原文摘要 · Abstract (English)
We present MambaH-Fit, a state space modelling framework tailored for hyper-surface fitting-based point cloud normal estimation. Existing normal estimation methods often fall short in modelling fine-grained geometric structures, thereby limiting the accuracy of the predicted normals. Recently, state space models (SSMs), particularly Mamba, have demonstrated strong modelling capability by capturing long-range dependencies with linear complexity and inspired adaptations to point cloud processing. However, existing Mamba-based approaches primarily focus on understanding global shape structures, leaving the modelling of local, fine-grained geometric details largely under-explored. To address the issues above, we first introduce an Attention-driven Hierarchical Feature Fusion (AHFF) scheme to adaptively fuse multi-scale point cloud patch features, significantly enhancing geometric context learning in local point cloud neighbourhoods. Building upon this, we further propose Patch-wise State Space Model (PSSM) that models point cloud patches as implicit hyper-surfaces via state dynamics, enabling effective fine-grained geometric understanding for normal prediction. Extensive experiments on benchmark datasets show that our method outperforms existing ones in terms of accuracy, robustness, and flexibility. Ablation studies further validate the contribution of the proposed components.
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