arXiv:2507.09005cs.CVphysics.geo-ph2025-07

仅靠视觉图像,就能反推沙子的摩擦角,误差小于2度。

From images to properties: a NeRF-driven framework for granular material parameter inversion

  • 用NeRF重建沙子初始3D形状,再驱动MPM模拟
  • 通过对比模拟与真实图像,优化出摩擦角误差<2度
  • 适合无法直接测量材料属性的野外场景

我们提出一种新框架,将神经辐射场(NeRF)与材料点法(MPM)结合,仅凭视觉观测反演颗粒材料属性。方法从合成实验数据入手,模拟犁与沙土相互作用过程,并生成多视角初始状态图像及两台固定相机的时间序列图像。利用NeRF从初始多视角图像重建3D几何结构,捕捉复杂表面细节并生成新视角图像。该重建结果用于初始化MPM模拟中的材料点位置,其中摩擦角未知。在相同相机设置下渲染模拟图像,并与实际观测图像对比,通过贝叶斯优化最小化图像损失,从而估计最优摩擦角。结果表明,摩擦角估计误差控制在2度以内,证明了仅通过视觉观测实现逆分析的有效性。该方法为难以直接测量材料属性的真实场景提供了可行解决方案。

原文摘要 · Abstract (English)

We introduce a novel framework that integrates Neural Radiance Fields (NeRF) with Material Point Method (MPM) simulation to infer granular material properties from visual observations. Our approach begins by generating synthetic experimental data, simulating an plow interacting with sand. The experiment is rendered into realistic images as the photographic observations. These observations include multi-view images of the experiment's initial state and time-sequenced images from two fixed cameras. Using NeRF, we reconstruct the 3D geometry from the initial multi-view images, leveraging its capability to synthesize novel viewpoints and capture intricate surface details. The reconstructed geometry is then used to initialize material point positions for the MPM simulation, where the friction angle remains unknown. We render images of the simulation under the same camera setup and compare them to the observed images. By employing Bayesian optimization, we minimize the image loss to estimate the best-fitting friction angle. Our results demonstrate that friction angle can be estimated with an error within 2 degrees, highlighting the effectiveness of inverse analysis through purely visual observations. This approach offers a promising solution for characterizing granular materials in real-world scenarios where direct measurement is impractical or impossible.

反演颗粒材料NeRFMPM

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