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图学学报

图学学报

• 专论：第21届中国计算机辅助设计与图形学暨第11届全国几何设计与计算机联合会议(CAD&CG GDC 2018 桂林) • 上一篇    下一篇

具有规整曲率线网的光滑曲面设计

  

  1. 哈尔滨工业大学(威海)计算机科学与技术学院，山东 威海 264209
  • 出版日期:2019-02-28 发布日期:2019-02-27
  • 基金资助:
    国家自然科学基金项目(61672187)；山东省重点研发计划项目(2018GGX103038)；模式识别国家重点实验室开放课题项目(201800013)

Design of Smooth Surfaces with Regular Network of Curvature Curves

  1. School of Computer Science and Technology, Harbin Institute of Technology (Weihai), Weihai Shandong 264209, China
  • Online:2019-02-28 Published:2019-02-27

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摘要： 为了设计具有规整曲率线网且无脐点的光滑曲面，提出一种曲面交互设计算法。 采用 Bézier 曲面片光滑拼接构成的复合曲面作为表达形式，通过交替曲率线网的优化和曲面细 分得到自由形状的设计曲面，所得曲面具有规整曲率线网而且没有脐点。以此复合 Bézier 曲面 为基础，通过圆纹样条曲面优化算法得到结构规整的圆纹样条曲面，同时也能得到圆锥曲面条 模型以及曲面多层支撑结构等自由建筑曲面设计中有重要应用的几何结构。

关键词: 曲率线网, 圆纹曲面, 脐点, 曲面设计

Abstract: A new algorithm is proposed for the design of a smooth surfaces which is required to have a regular mesh of curvature curves without any umbilical points. A composite surface as smoothly joint by Bézier surface patches is used in the design procedure. By the alternative steps of optimization of curvature line networks and surface subdivision, the free from surface is generated which has a regular network of curvature curves without an umbilical point. Based on the resultant surface, a cyclide spline surface with regular structures, conical strip models and multi-layer support structures for freeform architectural surface design are easily obtained.

Key words: curvature line network, cyclide surface, umbilical point, surface design