On Self-growing Modeling for Curves

摘要

This paper presents a novel curve modeling method based on controlling rules of the shaping technique.The method describes the curve based on steplength and turning angle,and the characteristics of the curve near a point.Then it introduces the process to extract ″growing-rules″ for 2D and 3D curves described by familiar analytical expressions and curvature-torsion expressions.Examples of self-growing modeling for familiar analytical curves are presented.New curves are obtained by designing the grow-rules;corresponding examples are also presented.