摘要
复杂插值曲面的几何形态由散乱数据点控制,优化含这类曲面实体的六面体网格难以保证边界一致。借鉴Balendran提出的直接法,建立正四边形结点的空间几何关系方程,并作为优化约束,以移动结点使每个六面体的各个侧面趋近于正四边形,实现网格优化。将原始采样点及其它控制插值曲面几何形态的数据转化为控制点约束,以保证边界一致性。结合优化约束与控制点约束,作为离散光滑插值(DSI)方程的约束项,实现网格优化与曲面插值的耦合。实例表明,该方法能够在保证复杂插值曲面边界一致性的前提下实现六面体网格优化。
The shape of interpolated surface is determined by scattered data points, and it is difficult to keep interfaces consistency when optimizing hexahedral mesh of object with these kinds of surfaces. Based on direct method proposed by balendran, optimization constraints, which is denoted by linear equations and expressing the spatial relationship among nodes of square, are used to convert all side faces of hexahedrons to quads in order to optimize the mesh. In order to keep interfaces consistency, the samples and other data which controlling the shape of interpolated interfaces are treated as control point constraints. Through coupling aforementioned two kinds of constraints, and treating them as constraints of discrete smooth interpolation （DSI） function, mesh optimization can be achieved under the condition of interfaces consistency. One case illaminates the validity of this method.
出处
《计算机工程与设计》
CSCD
北大核心
2009年第2期286-290,共5页
Computer Engineering and Design
基金
国家自然科学基金项目(40602037)
关键词
六面体网格
网格优化
约束
插值曲面
离散光滑插值
hexahedral mesh
mesh optimization
constraint
interpolation surface
discrete smooth interpolation （DSI）
作者简介
田红（1982-），女，辽宁盘锦人，硕士研究生，研究方向为岩体结构三维建模与数值模拟；E-mail：red_tian@yahoo．com．cn
徐能雄（1971～），博士，副教授，研究方向为岩体结构三维建模与数值模拟；
梅钢（1983-），男，湖北黄冈人，硕士研究生，研究方向为六面体剖分。
