Perception with Guarantees: Certified Pose Estimation via Reachability Analysis

📅 2026-02-10
📈 Citations: 0
✨ Influential: 0
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🤖 AI Summary
This work addresses the lack of formal worst-case safety guarantees in conventional pose estimation methods for safety-critical applications, which often rely on untrusted external services such as GPS. The authors propose a novel monocular 3D pose estimation approach that leverages a single image and prior knowledge of the target object’s geometry. For the first time, this method integrates reachability analysis with formal verification of neural networks to provide rigorous, mathematically certified error bounds on the estimated pose. Crucially, it operates without dependence on external positioning systems and demonstrates high efficiency and accuracy in both synthetic and real-world scenarios, thereby significantly enhancing system reliability and safety through provably bounded estimation errors.

Technology Category

Intelligent Robots: State EstimationComputer Vision: Biometrics, Face, Gesture & PoseMachine Learning: Calibration & Uncertainty Quantification

Application Category

Security and Privacy: Large-scale security measurementsResponsible Web: Human-perceived consequences of algorithmic deployment on the webGraph Algorithms and Modeling for the Web: Algorithms and analysis for incomplete, noisy, or partially observed Web-related graphs
📝 Abstract
Agents in cyber-physical systems are increasingly entrusted with safety-critical tasks. Ensuring safety of these agents often requires localizing the pose for subsequent actions. Pose estimates can, e.g., be obtained from various combinations of lidar sensors, cameras, and external services such as GPS. Crucially, in safety-critical domains, a rough estimate is insufficient to formally determine safety, i.e., guaranteeing safety even in the worst-case scenario, and external services might additionally not be trustworthy. We address this problem by presenting a certified pose estimation in 3D solely from a camera image and a well-known target geometry. This is realized by formally bounding the pose, which is computed by leveraging recent results from reachability analysis and formal neural network verification. Our experiments demonstrate that our approach efficiently and accurately localizes agents in both synthetic and real-world experiments.
Problem

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

pose estimation
safety guarantees
cyber-physical systems
formal verification
reachability analysis
Innovation

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

certified pose estimation
reachability analysis
formal verification
neural network verification
safety-critical perception
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