arXiv:2608.07598cs.CV2026-08

用物理结构化状态实现可控制的3D高斯场景物体动画

NewtonGS: Physics-Structured Object-Level Neural Newtonian Dynamics for Gaussian Scene Animation

论文配图:NewtonGS: Physics-Structured Object-Level Neural Newtonian Dynamics for Gaussian Scene Animation
图 1 · 摘自论文原文
  • 用22维状态表示物体运动,融合物理规律与学习残差
  • 在状态预测上比五种基线方法误差更低,速度和位移更准
  • 适合需要精确控制物体运动的场景动画任务

在静态3D高斯场景中动画物体需显式定义对象级动态状态并具备可控运动模型。现有动态高斯方法多聚焦于时变场景重建或形变模拟,难以提供紧凑可直接控制的对象状态。为此,我们提出NewtonGS,一种面向对象级状态演进与高斯场景动画的物理结构化框架。NewtonGS以22维状态表征每个物体,涵盖姿态、线速度与角速度、各向异性尺度及其变化率、质量与接触属性。其高斯神经牛顿动力学(Gaussian-NND)模型结合解析平移、四元数运动学、重力、阻尼及尺度恢复动力学,并引入学习到的连续与接触残差。离散事件映射处理地面接触。预测的姿态与尺度构成共享仿射变换,用于更新关联高斯点的均值与协方差。我们构建了两个程序生成数据集:State-32用于状态演进评估,Gaussian-32用于状态到高斯转换测试。在State-32的分布内与速度范围偏移分割上,NewtonGS在轨迹均方根误差、最终位移误差和速度均方根误差方面均优于五种解析基线。Gaussian-32上的实验进一步验证了状态到动画高斯对象的有效转换。

原文摘要 · Abstract (English)

Animating objects in a static 3D Gaussian scene requires an explicit object-level dynamic state and a controllable model of object motion. Existing dynamic Gaussian methods primarily reconstruct time-varying scenes or simulate deformation, rather than provide compact object states for direct control. To address this gap, we present NewtonGS, a physics-structured framework for object-level state rollout and Gaussian scene animation. NewtonGS represents each object with a 22-dimensional state covering pose, linear and angular velocity, anisotropic scale and its rate, mass, and contact properties. Its Gaussian Neural Newtonian Dynamics (Gaussian-NND) model combines analytic translation, quaternion kinematics, gravity, damping, and scale-restoration dynamics with learned continuous and contact residuals. A discrete event map handles floor contact. Predicted poses and scales define a shared affine transformation that updates the means and covariances of all Gaussians associated with each object. We construct two procedurally generated datasets: State-32 for state-rollout evaluation and Gaussian-32 for state-to-Gaussian transformation. On both the in-distribution and velocity-range-shift splits of State-32, NewtonGS achieves lower trajectory RMSE, final displacement error, and velocity RMSE than five analytic baselines. Experiments on Gaussian-32 further demonstrate effective conversion from predicted states to animated Gaussian objects.

3D动画高斯渲染物理模拟

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