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 ...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.展开更多
基金This paper is supported by the Natural Science Foundation of China(NSFC)under Grant No.50205010 and 50075029
文摘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.