【摘要】 提出了有界域的有限剖分问题，并设计出分步求解方案．首先用边界递归法对边界曲面进行剖分，剖分结果可作为有界域的近似边界；然后，在引入空间环表定义后，采用广义边界递归剖分法实现有界域的近似四面体网格剖分；最后，引入了附加离散点构造出附加四面体，它与区域的近似四面体网格一起构成了一个覆盖整个有界域的三角网格．应用表明该方法简单有效．更多还原

【Abstract】 A constrained triangulation method under the situation of arbitary bounded space domain and scattered sample is presented in this paper.First, by the boundary recursive triangulation the boundary surface of the domain can be approximated by a new domain D consisted of the triangle group.Then through a new concept space loop table,the boundary recursive triangulation method is generalized to work on three dimension space and a triangulation of D is gained.At last some additional tetrahedrons are designed specially to fill up the whole bounded space domain with the triangulation of D together.Applications indicate that,the method is simple and effective.更多还原