Curvature Characteristic Analysis of Cubic Curves

Abstract

It is impotrant in industrial design to generate high-level aesthetic curves. In general, high-level aesthetic curves is defined that curvature change is monotonous or the slope of logarithmic curvature graph is approximated straight line. However, the cubic polynomial parametric curves often used in a CAD system has the complicated relation between a control point and curvature change. In this study, We focus on the association of the parametric cubic curves and the aesthetic curves. The aesthetic curves has the high-level character and the monotonic curvature. We aim at the analysis in consideration of the aesthetic factor. Our study will lead to develop a new control system.