统一求解算法从分析重型值点对控制顶点的影响入手,合理修改插值样条控制顶点方程组的系数矩阵,无需以型值点为界分段求解,而是一次性求出所有控制顶点,比分段求解算法简单,并引入了光顺因子,使曲线曲面在重型值点处的光顺程度可灵活控制,利用该算法还能构造出夹尖点、棱角以及平面片的复杂曲面.
Unilingual algorithm is based on analyzing how multiple data points affect control vertexes. The coefficient matrix of the system of equations for solving control vertexes is modified, then all the control vertexes can be got through solving only one system of equations. It is more simple than subsection algorithm, it can be applied to construct complicated B-spline surfaces with cusp,arrises or plain patches.