SmartGrid Mesh Flow feature: How to use vector fields to generate adaptive spray trajectories on 3D mesh surfaces

A developer is seeking mathematical algorithm advice for the Mesh Flow feature of SmartGrid, an offline robotic spray trajectory planner, with the goal of generating and maintaining consistent trajectory patterns across different 3D mesh geometries. Their concerns include using vector fields to determine travel direction, controlling path spacing with geodesic distance fields or surface offsets, and letting local normals, tangent vectors, and curvature influence trajectories while suppressing jitter caused by mesh irregularities. The current focus is on deriving a general geometric algorithm that can reproduce reference patterns, rather than on programming implementation.