摘要
球面离散格网模型单元的面积、形状是否相似关系到模型的精度,因此定量分析单元的几何变形、分布规律等是格网模型建模的重要组成部分。文章通过对基于正八面体和正二十面体球面剖分获得的球面三角单元进行分析,分析结果表明随着剖分层次的增加单元面积和形状变化趋于稳定,基于正二十面体的球面剖分与基于正八面体相比有更好的相似性;单元的变形程度与其到正多面体顶点的距离成负相关,而周长和面积变化成正相关;单元各属性比值所占的百分比与剖分层次无关,其较大峰值都分布在正多面体的顶点附近。
Whether the area and the shape of the discrete global grids model units are similar to each other affects the precision of the model.Therefore the quantitative analysis of the unit geometry distorts,distribution rule and so on is one of the important parts in model creating.The paper analyzes the spherical triangle units getting from spherical triangle subdivision based on octahedron and icosahedron.There are some results getting from the analysis.Along with the increasing of the subdivision level,the area and the shape changes of the units tend to stability.The units are more similar getting from spherical triangle subdivision based on octahedron than on icosahedron.The distortion degree of the units is negative correlation to the distance from the unit to the vertex of the polyhedron,but the changes of the perimeter and the area are positive correlation to the distance.The percentage of the unit attribute ratios has nothing to do with the subdivision level.The peak values of the percentage distribute nearby the vertex of the polyhedron.
出处
《计算机工程与应用》
CSCD
北大核心
2008年第9期16-19,共4页
Computer Engineering and Applications
基金
上海市科技发展基金项目(the Science and Technology Development Foundation of Shanghai Grant No.015115039)
