The Simple Geometry Behind Any Road
Summary
The article explores a geometry-centric approach to road construction using only lines and circular arcs, introducing profiles as a compact representation of road cross-sections and detailing how to interpolate between them to create smooth, parallel paths. It covers the limitations of using a single arc, introduces a two-line fillet construction, discusses intermediary profiles via Hermite splines, and outlines constraints to handle edge cases and future work.