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Research questionHow can surface reference sites be distributed evenly across rugged terrain while respecting traversability constraints?Flat-map distances can misrepresent spacing on steep or non-convex surfaces, causing clustered sites and uneven surface coverage. Placement must account for the terrain’s geometry and areas that cannot be safely traversed.
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Latest papersRecent research connected to this question, newest first.ToPos: Automated Optimal Positioning on Topographic Manifolds using Constrained Geodesic Voronoi DecompositionThe source addresses ToPos, a GIS-ready framework for constrained placement on discrete two-dimensional manifolds embedded in 3D. It uses geodesic distances and feasible safe zones, and reports evaluations on non-convex sinusoidal manifolds, including an approximately 74% improvement in the coefficient of variation of Voronoi cell areas; broader real-world performance is not established by the supplied evidence.research paper · Sep 4, 2026
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