• CN:11-2187/TH
  • ISSN:0577-6686

机械工程学报 ›› 2019, Vol. 55 ›› Issue (3): 120-129.doi: 10.3901/JME.2019.03.120

• 数字化设计与制造 • 上一篇    下一篇

三角网格曲面上的特征阵列

刘斌   

  1. 华侨大学特种能场制造福建省重点实验室 厦门 361021
  • 收稿日期:2018-03-05 修回日期:2018-08-05 出版日期:2019-02-05 发布日期:2019-02-05
  • 作者简介:刘斌,男,1972年出生,博士,教授。主要研究方向为数字化设计制造、增材制造软件支持系统等。E-mail:mold_bin@hqu.edu.cn
  • 基金资助:
    国家自然科学基金(51575196,51175191)和福建省科技计划引导性(2016H0020)资助项目。

Pattern Design of Freeform Features on Triangular Meshes

LIU Bin   

  1. Fujian Provincial Key Laboratory of Special Energy Manufacturing, Huaqiao University, Xiamen 361021
  • Received:2018-03-05 Revised:2018-08-05 Online:2019-02-05 Published:2019-02-05

摘要: 针对三角网格曲面上复杂特征阵列式设计重用困难问题,提出一种两步法特征阵列重用策略。基于曲面空间向量平移理论,确定特征阵列位置,以角度和测地距离两个参数构建各阵列实例之间的关联;提出一种基于对偶图的曲面局部参数化方法,使参数化结果不受顶点法矢评估方法的影响,对噪声和锐边特征不敏感。在此基础上,采用微分坐标网格变形技术实现阵列实例的形状控制,使其适配曲面局部形状变化。给出了环形旋转阵列、沿曲线阵列以及方向阵列的具体算法实现。试验结果表明,所介绍方法鲁棒、有效,可用于复杂特征的阵列式实时交互设计。

关键词: 参数化, 三角网格, 微分坐标, 阵列, 重用

Abstract: Aiming at the difficult problem of design reuse of complex pattern feature on triangular mesh, a two-step strategy of reuse feature is proposed. Based on the theory of surface space vector translation, the position of the pattern feature is determined, and the correlation between the pattern instances is constructed by the two parameters of angle and geodesic distance. A localized parametric method based on the dual mesh is proposed, which makes the parametric result not affected by the method of evaluation vertex normal vector, which is insensitive to the noise and sharp features. On this basis, the shape control of the pattern instances is realized by Laplacian mesh deformation method, so that it fits the local surface shape. Finally, these specific algorithms to achieve patterns of circular rotation, along the curve and the directions are given in this paper. The experimental results show that the proposed method is robust and effective, and can be used in real-time interactive design of complex pattern features.

Key words: differential coordinates, parameterization, pattern, reuse, triangular mesh

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