3D Discrete Clothoid Splines

Authors:
Li Guiqing;Li Xianmin;Li Hua
Affiliations:
-;-;-
Venue:
CGI '01 Proceedings of the International Conference on Computer Graphics
Year:
2001

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Abstract

Abstract: A Clothoid spline is a planar G2 curve with piecewise linear curvature. Its discrete analogon, planar discrete clothoid spline (PDCS for short) generated by non-linear subdivision, is also of high quality owing to piecewise linear curvature distribution. We extend the PDCS to 3D by introducing discrete curvature binormal vectors and discrete Frenet frame. An algorithm similar to the planar case is developed for creation of 3D discrete clothoid splines. Experiments show that 3D discrete clothoid spline still retains high quality. This result makes it possible to construct discrete clothoid spline surfaces on open triangle meshes or curve nets of arbitrary topology.