Localized Graph-Based Neural Dynamics Models for Terrain Manipulation

๐Ÿ“… 2025-03-30
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๐Ÿค– AI Summary
To address the challenge of dynamical modeling for high-dimensional, unbounded, fine-grained terrains in construction and extraterrestrial scenarios, this paper proposes a lightweight graph neural dynamics (GND) modeling approach. The method employs a learning-driven, adaptive region-of-interest (RoI) identification mechanism that selectively predicts dynamics only for ~100 particles within the robotโ€“terrain interaction zone. It further incorporates domain-boundary feature encoding and geometry-aware sparse subgraph activation to suppress particle penetration and preserve local dynamical fidelity. Compared to full-graph GND models, the proposed method achieves several orders-of-magnitude speedup in prediction latency while improving accuracy. Extensive evaluation on multi-granularity terrain excavation and shaping tasks demonstrates its strong generalizability, real-time performance, and physical consistency.

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๐Ÿ“ Abstract
Predictive models can be particularly helpful for robots to effectively manipulate terrains in construction sites and extraterrestrial surfaces. However, terrain state representations become extremely high-dimensional especially to capture fine-resolution details and when depth is unknown or unbounded. This paper introduces a learning-based approach for terrain dynamics modeling and manipulation, leveraging the Graph-based Neural Dynamics (GBND) framework to represent terrain deformation as motion of a graph of particles. Based on the principle that the moving portion of a terrain is usually localized, our approach builds a large terrain graph (potentially millions of particles) but only identifies a very small active subgraph (hundreds of particles) for predicting the outcomes of robot-terrain interaction. To minimize the size of the active subgraph we introduce a learning-based approach that identifies a small region of interest (RoI) based on the robot's control inputs and the current scene. We also introduce a novel domain boundary feature encoding that allows GBNDs to perform accurate dynamics prediction in the RoI interior while avoiding particle penetration through RoI boundaries. Our proposed method is both orders of magnitude faster than naive GBND and it achieves better overall prediction accuracy. We further evaluated our framework on excavation and shaping tasks on terrain with different granularity.
Problem

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

Modeling high-dimensional terrain deformation for robot manipulation
Reducing computation by localizing active subgraphs in large terrains
Preventing particle penetration at domain boundaries during prediction
Innovation

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

Graph-based Neural Dynamics for terrain modeling
Localized active subgraph for efficient prediction
Domain boundary feature encoding prevents penetration
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