自由形态空间网格结构建模技术研究综述

A review of grid generation techniques of free-form spatial grid structures

自由形态空间网格结构是指结构整体几何形态不能用解析函数精确表达或拟合,并能以任何方式自由变化的空间网格结构,具有形式多样化和自由化的特点,但其网格划分存在一定的难度.本文总结以往的研究成果,将其归纳和汇总为三种自由形态空间网格结构建模的思路,然后总结并分析比较了用于自由形态网格生成的典型方法的特点、性能及其应用,总结了网格质量的衡量指标及网格优化方法,同时对曲面造型方法及曲面优化方法进行介绍,最后对自由形态空间网格结构建模技术的发展做出展望.

Free-form spatial grid structure is the grid structure that has no analytic expression and its form can change in any way.The grid generation of this kind of structure is difficult because of the characteristics of its various and free forms.This paper summarizes three different approaches to generate grids of free-form structures.A discussion and categorization of the fundamental methods currently in use to generate grids of free-form structures is proposed.The grid quality criteria and mechanics-based grid optimization techniques are then put forward.A survey of free-form surface modeling techniques and optimization methods is also provided.Finally,the trends of the technologies in grid generation of freeform structures are proposed.