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NURBS体造型与布尔运算
引用本文:高新瑞,张树生,侯增选. NURBS体造型与布尔运算[J]. 计算机工程与应用, 2004, 40(36): 22-24,141
作者姓名:高新瑞  张树生  侯增选
作者单位:西北工业大学现代设计与集成制造技术教育部重点实验室,西安,710072;西北工业大学现代设计与集成制造技术教育部重点实验室,西安,710072;西北工业大学现代设计与集成制造技术教育部重点实验室,西安,710072
基金项目:航空科学基金资助项目(编号:99H53111)
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。

关 键 词:NURBS体  NURBS体造型  体素模型  布尔运算
文章编号:1002-8331-(2004)36-0022-03

Construction of NURBS Volumes and Boolean Operations
Gao Xinrui Zhang Shusheng Hou Zengxuan. Construction of NURBS Volumes and Boolean Operations[J]. Computer Engineering and Applications, 2004, 40(36): 22-24,141
Authors:Gao Xinrui Zhang Shusheng Hou Zengxuan
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.
Keywords:NURBS volume  construction of NURBS volumes  voxel-based volume  Boolean operations  
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