Analysis of inflection points and singularities on the planar cubic H-Bezier curves

作者：Yin Ming^*; Guo Qingwei; Zhu Gongqin

来源：Journal of Information and Computational Science, 2006, 3(4): 995-1003.

• Inflection point
• Planar cubic H-Bezier curve
• Planar cubic hybrid hyperbolic polynomial curve segment
• Singularity

Based on the intuitive method of geometrical envelope and topological mapping, the distribution of inflection points and singularities on a planar cubic hybrid hyperbolic polynomial curve segment and H-Bezier curve is discussed. We give the necessary and sufficient conditions for having one or two inflection points, or a loop, or a cusp, or none of the above points on the curves in terms of their control polygon. Finally, some examples on the distribution of inflection points and singularities for the cubic H-Bezier curve are presented.

• 出版日期2006
• 单位合肥工业大学