Piecewise 3D Euler spirals

3D Euler spirals are visually pleasing, due to their property of having their curvature and their torsion change linearly with arc-length. This paper presents a novel algorithm for fitting piecewise 3D Euler spirals to 3D curves with G2 continuity and torsion continuity. The algorithm can also handle sharp corners. Our piecewise representation is invariant to similarity transformations and it is close to the input curves up to an error tolerance.

• Type: Conference
• Year: 2010
• Where: SMA
• Authors: David Ben-Haim, Gur Harary, Ayellet Tal
• Keywords: Euler Spirals, Piecewise 3d Euler, SMA 2010, Solid Modeling, Torsion Continuity