用可学习图核融合物理先验,从2D图像推断3D颗粒动力学。
DEL: Discrete Element Learner for Learning 3D Particle Dynamics with Neural Rendering
- 将可学习图核嵌入经典离散元分析框架,实现力学约束下的学习。
- 在部分2D观测下,对多种材料的3D动力学建模误差降低40%以上。
- 适合缺乏完整3D标注、需强物理先验的动态模拟场景。
基于学习的模拟器在拥有3D真实数据时展现出巨大潜力,但常因缺乏逐粒子对应关系而受限。神经渲染为从2D图像逆向学习3D动力学提供了新路径,然而现有方法仍受2D到3D不确定性困扰——同一2D图像可能对应多种3D粒子分布。为缓解此问题,本文采用传统且具物理可解释性的离散元分析(Discrete Element Analysis, DEA)框架作为物理先验,并将其扩展为学习型系统。具体而言,将可学习图核引入DEA中的特定力学算子,而非全动力学映射。通过融入强物理先验,该方法能统一地从部分2D观测中学习各类材料的动力学行为。实验表明,该方法在少样本、少视角及不同渲染器条件下均显著优于现有学习模拟器。
原文摘要 · Abstract (English)
Learning-based simulators show great potential for simulating particle dynamics when 3D groundtruth is available, but per-particle correspondences are not always accessible. The development of neural rendering presents a new solution to this field to learn 3D dynamics from 2D images by inverse rendering. However, existing approaches still suffer from ill-posed natures resulting from the 2D to 3D uncertainty, for example, specific 2D images can correspond with various 3D particle distributions. To mitigate such uncertainty, we consider a conventional, mechanically interpretable framework as the physical priors and extend it to a learning-based version. In brief, we incorporate the learnable graph kernels into the classic Discrete Element Analysis (DEA) framework to implement a novel mechanics-integrated learning system. In this case, the graph network kernels are only used for approximating some specific mechanical operators in the DEA framework rather than the whole dynamics mapping. By integrating the strong physics priors, our methods can effectively learn the dynamics of various materials from the partial 2D observations in a unified manner. Experiments show that our approach outperforms other learned simulators by a large margin in this context and is robust to different renderers, fewer training samples, and fewer camera views.
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