【摘要】 应用重心坐标推导出有理三次 Bezier曲线的表达式 ,通过给定的 4个控制顶点和位于这些顶点凸包内三次有理曲线上的一点 ,反算出了该点的参数和内权因子 .研究了在保持曲线形状不变的条件下 ,空间有理三次 Bezier曲线权因子变换和参数变换的等效性更多还原

【Abstract】 The expression of the rational cubic Bezier curves was derived by the Barycentric Coordinate method.And the parameter of the point and the inner weight was inversely solved with four given vertices and a point on the cubic curve inside the convex hull of the vertices.The equivalent property between the variation weights for rational cubic Bezier curve and parametric transformation of curve with the shape unchanged was investigated.更多还原