论文标题
使用持续同源性的隐式多孔结构的合理厚度确定
Reasonable thickness determination for implicit porous sheet structure using persistent homology
论文作者
论文摘要
多孔结构由于其出色的特性而被广泛用于各种行业。多孔表面没有厚度，应将其增稠到薄板结构以进行进一步制造。但是，由于内部结构的复杂性，用于生成板结构的常规方法对多孔表面的效率低下。在这项研究中，我们提出了一种直接从在多孔表面采样的点云中生成多孔板结构的新方法。生成的板结构由隐式B-Spline函数表示，可确保平滑度和闭合。此外，基于持续的同源性理论，可以控制生成的多孔板结构的拓扑结构，并且可以计算出合理的均匀厚度范围，以确保生产性和孔隙的存在。最后，隐式B型代表的板结构直接用行进正方形算法切成薄片，并且轮廓可用于3D打印。实验结果表明，与传统方法相比，开发方法的优越性。
Porous structures are widely used in various industries because of their excellent properties. Porous surfaces have no thickness and should be thickened to sheet structures for further fabrication. However, conventional methods for generating sheet structures are inefficient for porous surfaces because of the complexity of the internal structures. In this study, we propose a novel method for generating porous sheet structures directly from point clouds sampled on a porous surface. The generated sheet structure is represented by an implicit B-spline function, which ensures smoothness and closure. Moreover, based on the persistent homology theory, the topology structure of the generated porous sheet structure can be controlled, and a reasonable range of the uniform thickness of the sheet structure can be calculated to ensure manufacturability and pore existence. Finally, the implicitly B-spline represented sheet structures are sliced directly with the marching squares algorithm, and the contours can be used for 3D printing. Experimental results show the superiority of the developed method in efficiency over the traditional methods.
