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基于映射参数分割的复杂曲面反求技术研究

Study on Surface Modeling of Complex Surface in Reverse Engineering
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摘要 主要研究复杂曲面的反求技术 ,提出了一种新的反求方法——映射参数分割法 :它将复杂曲面分为广义平面、广义柱面和广义球面三类 ,根据不同特征选择定义映射引导参数面 ;将曲面的检测点集映射到引导参数面 ,形成映射参数域并确定其取值范围 ,实现参数域、检测点集分块 ;通过最小二乘平面逼近 ,形成整体曲面的插值网格点 ,最终采用标准的 In this paper, the surface modeling of complex surface in reverse engineering is systematically studied. The complex surfaces are sorted into three categories: the generalized plane surface, the generalized cylindrical surface and the generalized spherical surface. One reverse method - map parameter splitting method is presented, which uses seven steps: (1) the definition of the map-guiding parameter surface is selected based on the featur es of the three categories; (2) measured point sets are mapped onto the guiding parameter surface based on the guiding parameter surface so as to create the map ping parameter field; (3) determine the parameters and the region of their value s in the parameter field; (4) based on the region of parameter value, divide the parameter field and measured point sets into some subblocks and subsets; (5) es tablish the approach plane by least square for each measuring point subset. (6) build surface grid points using the approach planes; and (7) use the non- unif orm rational B-spline to get complex surface model.
机构地区 西北工业大学
出处 《机械科学与技术》 EI CSCD 北大核心 2001年第5期651-653,共3页 Mechanical Science and Technology for Aerospace Engineering
关键词 反求工程 曲面造型 参数分割 引导参数面 有理B条曲面 CAD Reverse engineering Surface modeling Parame ter splitting Guiding parameter surface NURBS
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参考文献2

  • 1李江雄.复杂曲面反求工程CAD建模技术研究[M].杭州:浙江大学,1998..
  • 2刘之生.反求工程技术[M].北京:机械工业出版社,1996..

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