让机器人在3D高斯溅射地图中安全导航并高效获取信息
Conflict-Aware Active Perception and Control in 3D Gaussian Splatting Fields via Control Barrier Functions

- 用控制屏障函数保障安全,融合风险度量防止碰撞
- 通过感知增益优化视角选择,提升地图信息获取效率
- 兼顾安全与感知的统一优化框架,适合复杂环境导航
在不确定环境中进行主动感知需要机器人在确保安全的前提下获取有信息量的观测以减少地图不确定性。这两项目标存在内在冲突:高信息量的视角通常位于不确定性较高的区域,碰撞风险更高。为此,本文针对基于3D高斯溅射(3DGS)表示环境的机器人系统,提出一种冲突感知的主动感知与控制框架。通过基于平均值在风险(AV@R)的碰撞风险度量构建控制屏障函数(CBF),考虑几何不确定性,保证安全集的前向不变性。为提升感知能力,提出一种风险感知的期望信息增益(EIG)视角选择方法,并引入感知屏障函数,使相机朝向对齐局部信息上升方向。为实现安全与感知目标的可处理联合优化,设计了一个统一的安全关键、感知感知二次规划框架,将安全约束作为硬约束,感知约束通过松弛变量软化处理。仿真结果表明,该方法在安全性与信息获取方面均优于现有3DGS基方法。
原文摘要 · Abstract (English)
Active perception in uncertain environments requires robots to navigate safely while acquiring informative observations to reduce map uncertainty. These objectives inherently conflict, as informative viewpoints often lie near uncertain regions with higher collision risk. To address this challenge, we develop a conflict-aware active perception and control framework for robotic systems operating in environments represented by 3D Gaussian Splatting (3DGS). Safety is enforced using a Control Barrier Function (CBF) derived from an Average Value-at-Risk AV@R collision-risk metric that accounts for geometric uncertainty and guarantees forward invariance of a safe set. To improve perception, we propose a risk-aware Expected Information Gain (EIG) formulation for selecting the next-best-view and introduce perception barrier functions that align the camera orientation with the local information-ascent direction. To obtain a tractable formulation for these conflicting safety and perception objectives, we propose a unified safety-critical, perception-aware quadratic program that enforces safety as a hard constraint while relaxing perception constraints through slack variables. Simulation results demonstrate that the proposed method improves both safety and information acquisition compared to existing 3DGS-based approaches.
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