arXiv:2511.18680cs.GRcs.CV2025-11中稿 · ed被引 3

针对复杂拓扑表面,提出新方法实现多视角图像高精度重建。

Inverse Rendering for High-Genus Surface Meshes from Multi-View Images

  • 引入自适应V-cycle重网格化与重参数化Adam优化器,增强拓扑感知能力。
  • 在高亏格表面重建中,Chamfer Distance和体积交并比显著提升。
  • 适合需要保留复杂拓扑结构的3D重建任务,如生物形态或工业零件。

我们提出一种拓扑感知的逆渲染方法,用于从多视角图像重建高亏格曲面网格。相较于体素和点云等3D表示,基于网格的表示更利于应用微分几何理论,并适配现代图形管线。然而,现有逆渲染方法在高亏格表面上常出现灾难性失败,导致关键拓扑特征丢失,且倾向于过度平滑低亏格表面,损失细节。其根源在于对基于Adam的优化器过度依赖,引发梯度消失与爆炸。为此,我们引入自适应V-cycle重网格化方案,结合重参数化Adam优化器,通过周期性粗化与细化变形网格,使网格顶点在优化前感知当前拓扑与几何信息,缓解梯度问题并保留重要拓扑特征。此外,利用高斯-博内定理构建与真实亏格匹配的拓扑基元,强制拓扑一致性。实验表明,本方法在当前最先进方法基础上显著提升,尤其在高亏格表面的Chamfer Distance和体积交并比(Volume IoU)上表现优异,同时改善了低亏格表面的细节表现。

原文摘要 · Abstract (English)

We present a topology-informed inverse rendering approach for reconstructing high-genus surface meshes from multi-view images. Compared to 3D representations like voxels and point clouds, mesh-based representations are preferred as they enable the application of differential geometry theory and are optimized for modern graphics pipelines. However, existing inverse rendering methods often fail catastrophically on high-genus surfaces, leading to the loss of key topological features, and tend to oversmooth low-genus surfaces, resulting in the loss of surface details. This failure stems from their overreliance on Adam-based optimizers, which can lead to vanishing and exploding gradients. To overcome these challenges, we introduce an adaptive V-cycle remeshing scheme in conjunction with a re-parametrized Adam optimizer to enhance topological and geometric awareness. By periodically coarsening and refining the deforming mesh, our method informs mesh vertices of their current topology and geometry before optimization, mitigating gradient issues while preserving essential topological features. Additionally, we enforce topological consistency by constructing topological primitives with genus numbers that match those of ground truth using Gauss-Bonnet theorem. Experimental results demonstrate that our inverse rendering approach outperforms the current state-of-the-art method, achieving significant improvements in Chamfer Distance and Volume IoU, particularly for high-genus surfaces, while also enhancing surface details for low-genus surfaces.

逆渲染网格重建拓扑保持

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