Gaussian-Augmented Physics Simulation and System Identification with Complex Colliders

📅 2025-11-10
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🤖 AI Summary
Existing video-based system identification methods struggle to model complex physical interactions involving collisions between objects and non-planar rigid bodies, primarily due to oversimplified assumptions of planar collision geometries. To address this, we propose AS-DiffMPM—a novel framework that for the first time integrates a differentiable collision handling mechanism into the Material Point Method (MPM) physics simulator, enabling end-to-end joint optimization with arbitrarily shaped colliders. Our approach combines Gaussian-enhanced rendering with a new view synthesis technique to jointly invert physical properties—including geometry, appearance, elasticity, and friction—from multi-view visual observations. Evaluated on challenging collision scenarios featuring non-planar contacts and multi-angle views, AS-DiffMPM achieves significantly improved parameter estimation accuracy and generalization capability. Moreover, it is compatible with diverse view synthesis paradigms, thereby extending the applicability of video-based physical system identification to realistic, geometrically complex environments.

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📝 Abstract
System identification involving the geometry, appearance, and physical properties from video observations is a challenging task with applications in robotics and graphics. Recent approaches have relied on fully differentiable Material Point Method (MPM) and rendering for simultaneous optimization of these properties. However, they are limited to simplified object-environment interactions with planar colliders and fail in more challenging scenarios where objects collide with non-planar surfaces. We propose AS-DiffMPM, a differentiable MPM framework that enables physical property estimation with arbitrarily shaped colliders. Our approach extends existing methods by incorporating a differentiable collision handling mechanism, allowing the target object to interact with complex rigid bodies while maintaining end-to-end optimization. We show AS-DiffMPM can be easily interfaced with various novel view synthesis methods as a framework for system identification from visual observations.
Problem

Research questions and friction points this paper is trying to address.

Estimating physical properties with arbitrarily shaped colliders
Handling object interactions with complex non-planar surfaces
Enabling system identification from visual observations
Innovation

Methods, ideas, or system contributions that make the work stand out.

Differentiable MPM framework with arbitrary shaped colliders
Incorporates differentiable collision handling mechanism
Enables object interaction with complex rigid bodies
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