Smooth Interpolating Curves with Local Control and Monotone Alternating Curvature.

ABSTRACT: We propose a method for the construction of a planar curve based on piecewise clothoids and straight lines that intuitively interpolates a given sequence of control points. Our method has several desirable properties that are not simultaneously fulfilled by previous approaches: Our interpolating curves are C² continuous, their computation does not rely on global optimization and has local support, enabling fast evaluation for interactive modeling. Further, the sign of the curvature at control points is consistent with the control polygon; the curvature attains its extrema at control points and is monotone between consecutive control points of opposite curvature signs. In addition, we can ensure that the curve has self-intersections only when the control polygon also self-interse

SUBMITTER: Binninger A 

PROVIDER: S-EPMC9827861 | biostudies-literature | 2022 Aug

REPOSITORIES: biostudies-literature