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A Centerline-Aligned Frenet Graph Framework for Surface-Based Path Planning in Pipeline Environments

Hao Liu, gang liu, Chuan Qin, Yu Wang

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Key figure (auto-extracted from paper)
A centerline-aligned Frenet graph framework enables efficient, geometrically consistent path planning for climbing robots navigating complex pipeline surfaces.
Pipeline inspection Frenet frame Surface path planning Climbing robots Quadratic optimization Autonomous navigation

Problem

Existing path planning methods struggle with the curved, constrained, and geometrically complex surfaces of pipelines, often suffering from computational expense, discretization artifacts, or poor geometric consistency for climbing robots.

Approach

The method parameterizes the pipeline surface using its central axis and a Frenet coordinate system to create a structured 2D manifold grid, then uses a hybrid A* search for an initial path and quadratic programming to optimize it while respecting kinematic and adhesion constraints.

Key results

  • Frenet-aligned parametric manifold reduces representation and search complexity
  • Hybrid A* search generates kinematically feasible initial paths on the 2D grid
  • Quadratic programming optimizes paths for smoothness, length, and energy efficiency
  • Simulations and real-world tests show improved efficiency and robustness in complex pipelines

Why it matters

Enables reliable, energy-efficient autonomous navigation for magnetic wheeled inspection robots in critical infrastructure, bridging the gap between geometric accuracy and computational tractability.

Abstract

Pipeline inspection is essential for maintaining the safety of critical infrastructure, but manual inspection is dangerous and inefficient, and existing robotic solutions struggle to handle curved and constrained surfaces. Tradi- tional planning methods are either computationally expensive or prone to redundancy and discretization artifacts. To ad- dress these challenges, this paper proposes a centerline-aligned Frenet graph framework for surface-based path planning in pipeline environments. By embedding the pipeline surface into a structured two-dimensional manifold passing through the pipeline’s central axis, the framework enables efficient heuristic search while maintaining geometric consistency. By combin- ing quadratic programming with kinematic limits, an initial geodesic constrained path is generated and optimized, resulting in a smooth and executable trajectory. Extensive experiments on pipelines with sharp bends, intersections, and real-world pipeline environments demonstrate significant improvements in computational efficiency, path quality, and robustness compared to traditional methods.

Index terms

Motion and Path Planning Climbing Robots Nonholonomic Motion Planning

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