arXiv:2608.03295cs.RO2026-08

提出少步6自由度抓取生成新方法,速度快且保持几何不变性。

GraspMeanFlow: SE(3)-Equivariant MeanFlow for Few-Step 6-DoF Grasp Generation

论文配图:GraspMeanFlow: SE(3)-Equivariant MeanFlow for Few-Step 6-DoF Grasp Generation
图 1 · 摘自论文原文
  • 基于SE(3)等变平均速度流,单步完成抓取姿态生成
  • 仅需一次函数计算即达迭代模型五步效果,成功率提升24.3点
  • 适用于实时机械臂抓取,保留物体旋转平移下的几何一致性

近期数据驱动的6-DoF抓取姿态生成方法采用生成模型学习复杂的抓取分布并生成多样化候选姿态。特别是SE(3)-等变流模型能确保抓取姿态随物体旋转和平移一致变化。然而,这些方法依赖迭代数值积分采样,每条抓取需数十次函数评估,限制了实时应用。我们提出GraspMeanFlow,一种用于少步6-DoF抓取生成的SE(3)-等变平均流框架。该方法学习有限时间区间内的平均速度,通过时间有序指数定义,精确再现该区间内刚体位移。我们证明:在点云条件下的分布经等变平均速度流映射后仍保持不变,因此在少步采样下仍保留等变性;通过将两个时间点升维为等变向量进行条件建模,主干网络无需修改。为稳定训练,将流匹配边界项与两种一致性项之一配对:微分平均流恒等式(需雅可比-向量乘积)或避免该操作的等价半群损失。在ACRONYM数据集上的实验表明,GraspMeanFlow单次函数评估即可达到迭代SE(3)流模型需五步才接近的EMD性能;同一框架的第二个实例在少步情形下抓取成功率最高提升24.3点,且两者均生成随物体变换精确保持一致的抓取分布。

原文摘要 · Abstract (English)

Recent data-driven methods for synthesizing 6-DoF grasp poses use generative models to learn complex grasp pose distributions and generate diverse candidate poses. In particular, SE(3)-equivariant flow-based models generate grasp poses that transform consistently with object rotations and translations. However, these methods sample by iterative numerical integration, requiring tens of function evaluations per grasp and limiting their use in real-time manipulation. We propose GraspMeanFlow, an SE(3)-equivariant MeanFlow framework for few-step 6-DoF grasp generation. Our method learns the average velocity over a finite time interval, defined through the time-ordered exponential so that it reproduces exactly the rigid-body displacement accumulated over that interval. We prove that a point-cloud-conditioned distribution transported by an equivariant average-velocity flow map remains invariant, so equivariance is retained under few-step sampling, and we condition the field on a pair of times by lifting both to equivariant vectors, leaving the backbone otherwise unchanged. For stable training, we pair a flow-matching boundary term with either of two consistency terms: the differential MeanFlow identity, whose target requires a Jacobian-vector product, or an equivalent semigroup loss that avoids it. Experiments on ACRONYM show that a single function evaluation of GraspMeanFlow reaches the EMD that an iterative SE(3) flow model needs five steps to approach, that a second instantiation of the same framework improves grasp success by up to 24.3 points in the few-step regime, and that both generate grasp distributions transforming exactly with the object.

抓取生成等变模型6-DoF少步采样

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