【摘要】 讨论了三次曲线、曲面,为了用统一的形式表达二次、三次曲线及相应的曲面,以适合于计算机辅助几何设计的特点,提出了一种新的样条—有理 Z-样条,并详细讨论了该样条的特点及表达方式。更多还原

【Abstract】 Ordinary mathematical methods of free-form curves and surfaces designing was discussed,and a new thought representing conics and conicoids with bi-rational B-Spline curves and surfaces was put forward to fit CAGD’S Characteristics.In or- der to use a common mathematic form to represent lines conics cubics and corre- sponding surfaces,a new spline tri-rational Z-Spline was put forward,and detailed studying procedure was given in this paper,and then the outstanding advantage of this spline was discussed.更多还原