clothoidbased
Clothoidbased is an adjective used to describe curves, paths, or methods that rely on clothoids, also known as Euler spirals. A clothoid is a planar curve whose curvature varies linearly with arc length, providing a smooth transition between straight motion and circular motion. The term is used to describe designs or algorithms whose geometry or trajectory generation uses clothoid segments to control how quickly the turning radius changes.
Mathematical basis: For a clothoid, the curvature κ(s) is proportional to the arc length s, commonly written
Applications: Clothoid-based planning and design are standard in road and railway engineering to create gradual steering
Implementation considerations: Exact clothoids are described by Fresnel functions and can be computationally intensive, so practical
Notes: The term reflects a descriptive usage across fields rather than a formal classification, and its meaning