Metamorphosis of Planar Parametric Curves Via Curvature Interpolation

This work considers the problem of metamorphosis interpolation between two freeform planar curves. Given two planar parametric curves, the curvature signature of the two curves is linearly blended, yielding a gradual change that is not only smooth but also employs intrinsic curvature shape properties, and hence is highly appealing. In order to be able to employ this curvature blending, we present a constructive scheme to derive curvature signatures of parameter curves. Additionally, we propose a scheme to reconstruct a curve from its curvature signature.

• Type: Journal
• Year: 2002
• Where: IJSM
• Authors: Tatiana Surazhsky, Gershon Elber
• Keywords: Curvature Signature, Freeform Planar, IJSM 2002, Intrinsic Curvature Shape