一种通过构造符合离散表示的工业CAD模型曲面网格生成方法

IF 3 3区 计算机科学 Q2 COMPUTER SCIENCE, SOFTWARE ENGINEERING
Xin Yang , Fei Yu , Yan Zhou , Pengchao Zhou , G.Z. Zhao , Z.Q. Guan
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引用次数: 0

摘要

本文提出了一种工业CAD模型曲面网格生成的新方法,即建立符合要求的离散表示。首先,我们开发了一种两步策略,a -布尔,它结合了对准曲面网格(ASM)和布尔运算,为具有间隙、接触、重叠和自交等缺陷的工业CAD模型生成符合的网格。在网格生成过程中,ASM可以通过给定较小的阈值,较好地求解微小的间隙、接触和交集。然后通过布尔运算修复剩余缺陷,避免数值误差。对于每个曲面,通过附加正交非均匀网格点,很好地控制了离散模型与原始几何形状之间的逼近误差。其次,引入额外的拓扑重构过程,将符合条件的网格转化为流形分区,提高了后续网格划分算法的可靠性和通用性;在离散表示的构建过程中,可以有效地解决影响网格生成可靠性和质量的几何问题。最后,采用基于曲面参数化的重划分算法生成高质量的网格。通过与开源软件和商业软件的比较,验证了该方法的有效性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A method of surface mesh generation for industrial CAD models by constructing conforming discrete representation
In this paper, we present a new approach for surface mesh generation of industrial CAD models by establishing a conforming discrete representation. Firstly, we develop a two-step strategy, A-Boolean, which combines the aligned surface meshing (ASM) and Boolean operations to generate conforming meshes for industrial CAD models with defects including gaps, contacts, overlaps and self-intersections. During the mesh generation, ASM can properly solve tiny gaps, contacts and intersections by given a small threshold. Then, the remaining defects can be repaired by the Boolean operations and avoid numerical errors. For each surface, the approximation error between the discrete model and original geometry is well controlled by appending orthogonal non-uniform grid points. Secondly, an additional topology reconstruction process is introduced to transform conforming meshes into manifold partitions, which enhance the reliability and versatility of the following meshing algorithm. During the construction of discrete representation, geometric issues that affect the reliability and quality of mesh generation can be effectively solved. Finally, high-quality meshes can be generated by a remeshing algorithm based on surface parameterization. Several examples are presented with comparisons against open-source and commercial software, demonstrating the validity of the proposed method.
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来源期刊
Computer-Aided Design
Computer-Aided Design 工程技术-计算机:软件工程
CiteScore
5.50
自引率
4.70%
发文量
117
审稿时长
4.2 months
期刊介绍: Computer-Aided Design is a leading international journal that provides academia and industry with key papers on research and developments in the application of computers to design. Computer-Aided Design invites papers reporting new research, as well as novel or particularly significant applications, within a wide range of topics, spanning all stages of design process from concept creation to manufacture and beyond.
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