【摘要】 该论文主要讨论NURBS体造型技术与并、交、差布尔运算。NURBS体造型技术主要有蒙皮法、拉伸法与旋转法等。影响NURBS体形状的因素有:控制顶点、结点与结点的重度、权因子与基函数次数。为计算方便,将一次、二次、三次NURBS曲线系数矩阵用统一矩阵形式表示。用基于NURBS体三参数u、v、w的体素模型实现NURBS体的并、交、差布尔运算。更多还原

【Abstract】 This paper mainly discusses construction of NURBS volumes and Boolean operations of union,intersection and difference.The methods of construction of NURBS volumes include skinning,sweeping and swinging etc..The factors which affect the shape of NURBS volumes include control points,nodes and the multiplicity of nodes,weights,and orders of base functions.For the convenience of calculation,it gives similar expressions of coefficient matrixes of NURBS base functions of cubic and square curves and line.Based on Voxel-based NURBS volumes,the Boolean operations are accomplished.更多还原