Smooth Interpolating Curves with Local Control and Monotone Alternating Curvature

Abstract

κ-curves [YSW * 17] trigonometric blending [Yuk20] 3-arcs clothoid clothoid-line-clothoid Figure 1: Interpolating curves generated from the same control points (shown in red) using κ-curves [YSW * 17], trigonometric blending [Yuk20], our 3-arcs clothoids method and our clothoid-line-clothoid method. Our approach guarantees G 2 continuity, has bounded local support and provides curvature monotonicity between control points of opposite curvature sign. The curvature normals are visualized with purple lines.