...细分;然后对横跨表面的网格进行调整,以形成对象的表面形态;最后采用以质量函数引导的拉普拉斯平滑与棱边收缩(edge collapse)的方法对网格的质量进行优化来最终得到待剖分对象的四面体网格。
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The algorithm uses the rule of quadric error to calculate contraction cost of each edge and control the sequence of edges to be contracted. Half space testing is introduced to judge the validity of edge contraction.
该算法首先依据二次误差度量准则计算边收缩的代价,同时确定各边收缩的顺序,然后利用半空间测试方法判断边收缩的合法性,以实现表面模型的边界区域与内部区域的同步压缩。
参考来源 - 一种基于边收缩的3维表面模型数据压缩算法 in C·2,447,543篇论文数据,部分数据来源于NoteExpress
如果6连通图的一条边收缩后使得所得到的图仍是6连通,则这条边称为6可收缩边。
An edge of a 6 connected graph is said to be 6-contractible if its contraction results still in a 6 connected graph.
采用水平卧式浇注,铸件对称的两边收缩率基本相同;而采用垂直立式浇注,铸件对称的上下收缩率相差较大。
The contractive rates on both sides in symmetric part were basically of the same for horizontal pouring while of extreme difference for vertical pouring.
并对其生成的表面几何模型所包含三角面片数量巨大的问题,提出一种快速有效的三角形边收缩算法进行网格简化,提高了表面模型的绘制速度。
Because 3D surface model contains huge number of triangles, a mesh simplification algorithm based on triangle edges shrinkages is presented in this paper to speed up the rendering in real time.
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