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一类可调控的G1连续分段三次多项式曲线
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()
摘要:
给出了一类可调控的G1连续的分段三次多项式曲线,且在每段曲线上有两个局部形控参数,通过分析该曲线与三次Bezier曲线之间的关系,给出了形控参数的几何意义,调整形控参数可灵活方便改变曲线的形状,最后还把该曲线推广到双三次多项式曲面情形,并给出数值例子和应用.
关键词:  B样条  三次多项式曲线  三次Bezier曲线  局部形控参数  可调控  连续分段  三次多项式曲线  Polynomial Curve  Cubic  Piecewise  应用  数值例子  多项式曲面  形状  变曲线  调整  几何意义  关系  线之间  Bezier  分析  形控参数  局部
DOI:
修订日期:2005-01-18
基金项目:合肥工业大学校科研和教改项目
A Class of Modifiable G1-Continuous Piecewise Cubic Polynomial Curve
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Abstract:
A class of modifiable G~1-continuous piecewise cubic polynomial curves and two local control parameters on every single piece are presented in this paper. By analyzing the relationships between the curves mentioned above and the cubic Bezier curves,the geometric significance of local control parameters is given and the shape of the curves can be flexibly and easily changed by changing the values of the local control parameters.Finally, it popularizes the curves to the case of cubic polynomial surfaces and provides us rations of figures and their usage.
Key words:  B-spline,cubic polynomial curve,cubic Bezier curve,local control parameter

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