摘要
通过分析直纹面及其母线的Klein像性质 ,提出了平面、圆柱面、圆锥面、单叶双曲面、双曲抛物面和螺旋面六种特殊直纹面的类型判定和重构算法 .该算法也可用于以特殊直纹面逼近一般直纹面 .这些算法均已在逆向工程系统MIMDFM中实现 。
Six kinds of ruled surfaces, namely, plane, cylinder, cone, hyperboloid, paraboloid and helicoids were classified and reconstructed by analyzing Klein images of ruled surfaces and their generator lines. The presented algorithms were useful in approximating other kinds of surfaces by ruled surfaces. All of the above algorithms were implemented in the reverse engineering CAD modeling software MIMDFM.
出处
《华中科技大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2004年第9期66-68,共3页
Journal of Huazhong University of Science and Technology(Natural Science Edition)
基金
国家自然科学基金重点资助项目 (5 0 335 0 2 0 )
国家重点基础研究发展计划资助项目 (2 0 0 3CB71 6 2 0 7)
关键词
直纹面
线几何
曲面重构
Klein映射
ruled surface
computational line geometry
surface reconstruction
Klein mapping
