Topology-Preserving Multi-Usage Pipe Centerline Refinement under Permanent Tubular Occupancy
Discrete multi-group pipe routers place channels on a grid or coarse graph.
ProofPaper ↗
Key points
- For permanently occupied fluid tubes---as in additively manufactured hydraulic manifolds---those corners are undesirable: they degrade geometric fairness and, in practice, flow quality.
- This technical report studies the downstream geometric stage that starts from a fixed routing topology and a feasible coarse layout, and refines tubular centerlines under permanent clearance.
- Unlike classical robotic path smoothing, which usually fair one temporary open trajectory, our setting is a branched manifold with declared terminal usages, finite tube radii, and static cross-group occupancy.
- We formalize the refinement problem, highlight the multi-usage junction conflict that a single shared branch point cannot resolve, and outline a hybrid trunk-share / junction-split parameterization with soft geometric costs and hard clearance acceptance.
Sources (1)
- [1]Topology-Preserving Multi-Usage Pipe Centerline Refinement under Permanent Tubular OccupancyarXiv (AI, ML, NLP, CV, robotics, multi-agent) · Oct 14, 01:52 AM
Discrete multi-group pipe routers place channels on a grid or coarse graph.
For permanently occupied fluid tubes---as in additively manufactured hydraulic manifolds---those corners are undesirable: they degrade geometric fairness and, in practice, flow quality.
Extractive summary: sentences quoted from the sources.