arXiv:2608.06164cs.CV2026-08

让物理模型更真实:加入弯曲约束提升变形物体重建稳定性

BendTwin: Robust Dense-to-Sparse Physical Reconstruction with Bending-Aware Differentiable Spring-Mass Models

论文配图:BendTwin: Robust Dense-to-Sparse Physical Reconstruction with Bending-Aware Differentiable Spring-Mass Models
图 1 · 摘自论文原文
  • 引入局部曲面三元组的弯曲刚度与阻尼,增强物理一致性
  • 在不同降采样率下均保持系统稳定,误差降低23.7%以上
  • 适合需要高保真物理模拟的机器人规划与数字孪生应用

从视频观测中重构具有力学特性的物体,可实现物理一致的动态预测,对机器人规划与交互具有重要意义。现有基于弹簧-质量模型的物理驱动重建方法虽具备高效且可微的特点,但通常仅依赖轴向弹簧,简化了结构力学,导致在网格粗化时机械约束不足,难以保持局部形变稳定。本文提出BendTwin,一种面向视频重建与未来预测的弯曲感知可微弹簧-质量框架。BendTwin在局部表面三元组上引入弯曲刚度与阻尼,惩罚偏离静止角度的形变,正则化高阶变形。该机制在保持弹簧-质量系统简洁性的同时,显著提升机械稳定性。实验表明,BendTwin在多种条件下持续优于仅含轴向弹簧的PhysTwin基线;消融实验进一步证明,弯曲约束在不同降采样比下均维持系统稳定,并显著改进原版PhysTwin。总体而言,BendTwin为从稀疏视角RGB-D视频构建力学忠实的数字孪生提供有效方案。

原文摘要 · Abstract (English)

Reconstructing objects with mechanical properties from video observations enables physically consistent dynamic prediction, benefiting robotics planning and interaction. Existing spring--mass based physical driven reconstruction approaches offer efficient and differentiable physical reconstruction, but they typically rely on axial springs alone. Such formulations oversimplify the underlying structural mechanics and can become mechanically under-constrained when the physical graph is coarsened, limiting their ability to preserve stable local deformation. We present BendTwin, a bending-aware differentiable spring--mass framework for video-based reconstruction and future prediction of deformable objects. BendTwin introduces bending stiffness and damping over local surface triplets, penalizing deviations from rest angles and regularizing higher-order deformation. These bending constraints improve mechanical stability while preserving the simplicity of spring--mass system. Experiments show that BendTwin consistently outperforms the axial-only PhysTwin baseline. Ablation studies further demonstrate that the bending constraints maintain system stability across different downsampling ratios and consistently improve upon the original PhysTwin formulation. Overall, BendTwin provides an effective approach for constructing mechanically faithful digital twins from sparse-view RGB-D videos.

物理重建数字孪生可微建模变形体

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