目 录
1 引言 ............................................................................................................... 2
1.1 点集的三角剖分........................................................................................................3
1.1.1 Delaunay 三角剖分,Voronoi 图 ......................................................................3
1.1.2 权重 Delaunay 三角剖分,权重图...................................................................4
1.1.3 算法.................................................................................................................5
1.2 四面体剖分................................................................................................................6
1.2.1 分段线性复合形(PLC, Piecewise Linear Complexes)...................................6
1.2.2 边界一致性,Steiner 点 ...................................................................................7
1.2.3 约束 Delaunay 四面体剖分............................................................................8
1.2.4 格网矢量,四面体形状判定............................................................................9
1.2.5 格网尺寸,格网自适应性..............................................................................11
1.2.6 格网优化.......................................................................................................11
1.2.7 算法...............................................................................................................11
2 入门 ..............................................................................................................12
2.1 编译..........................................................................................................................12
2.1.1 Unix\Linux\MacOSX.....................................................................................13
2.1.2 Windows9.x/NT/2000/XP..............................................................................13
2.2 测试..........................................................................................................................14
2.3 可视化......................................................................................................................17
2.3.1 TetView..........................................................................................................17
2.3.2 Medit ..............................................................................................................17
3 使用 TetGen.................................................................................................18
3.1 命令行语法..............................................................................................................18
3.2 命令行开关...............................................................................................................18
3.2.1 四面体格网化一个点集(-w, -v)...................................................................19
3.2.2 分段线性复合体(PLC)四面体格网化(-p, -Y).............................................21
3.2.3 生成优良格网 (-q).......................................................................................23
3.2.4 分配范围属性(-A)........................................................................................24
3.2.5 体积约束(-a).................................................................................................25
3.2.6 应用格网尺寸函数(-m)................................................................................25
3.2.7 重建四面体格网(-r) .....................................................................................25
3.2.8 插入附加点列表(-i)......................................................................................26
3.2.9 格网优化(-O)................................................................................................26
3.2.10 设置容差(-T) ..............................................................................................26
3.2.11 格网统计(-V)..............................................................................................27
3.2.12 其他选项.....................................................................................................27
4 文件格式.......................................................................................................27
4.1 TetGen 文件格式......................................................................................................27
4.1.1 .node 文件......................................................................................................28
4.1.2 .poly 文件.......................................................................................................28
4.1.3 .smesh 文件....................................................................................................30
4.1.4 .ele 文件.........................................................................................................31