机构地区: 西安理工大学理学院
出 处: 《西安工业学院学报》 2006年第2期170-174,共5页
摘 要: NURBS曲面是计算机辅助几何设计和计算机图形学中最常用的参数曲面.利用NURBS曲面的齐次坐标表示,首先解释了NURBS曲面权因子的几何意义,直观地证明了单个权因子变化时,曲面上的点被拉向或被推离控制顶点的方向.然后推导出两个权因子的变化对曲面形状的影响规律,最后给出了曲面权因子调整的应用算例. NURBS surfaces are among the most commonly used parametric surfaces in CAGD and Computer Graphics. With the representation of homogeneous coordinates, we explain the geometric sense for the weights of NURBS surface firstly, and then prove in the paper that when one weight changes, the points of NURBS surface move toward or away from the control points. The effect on the surface by modifying two weights is also discussed in the paper. Finally an application example of changing the weighted curved surface is given.