论文标题
差异：胶囊和衬垫多边形的可区分碰撞检测
DiffPills: Differentiable Collision Detection for Capsules and Padded Polygons
论文作者
论文摘要
碰撞检测在机器人系统的模拟，控制和学习中起着重要作用。但是，对于对象的配置，没有现有的方法是可区分的，这极大地限制了可以在碰撞检测顶部构建的算法。在这项工作中，我们通过将这些问题作为可区分的凸二次程序提出，提出了胶囊和填充多边形之间的一组可区分的碰撞检测算法。所得算法能够返回一个接近值，以指示是否发生了碰撞以及对象之间的最接近点，所有对象都是可区分的。结果，它们可以在其他基于梯度的优化方法中可靠地使用，包括轨迹优化，状态估计和强化学习方法。
Collision detection plays an important role in simulation, control, and learning for robotic systems. However, no existing method is differentiable with respect to the configurations of the objects, greatly limiting the sort of algorithms that can be built on top of collision detection. In this work, we propose a set of differentiable collision detection algorithms between capsules and padded polygons by formulating these problems as differentiable convex quadratic programs. The resulting algorithms are able to return a proximity value indicating if a collision has taken place, as well as the closest points between objects, all of which are differentiable. As a result, they can be used reliably within other gradient-based optimization methods, including trajectory optimization, state estimation, and reinforcement learning methods.
