在以边界表示的实体造型中，如果为某实体元素保存部分的邻接实体元素，这便导致了部分关系的拓扑结构。
In the solid modelling of boundary representation, if we store part adjacent entities for some entity, for example, a first edge for a face, topology structures from part relationships will result.
文中任意形体的3d变形算法能很好地解决具有不同拓扑结构的3d边界表示的物体之间的变形问题。
The 3d morphing algorithm of arbitrary shaped objects in this paper can well resolve the problem of deformations between 3d boundary-represented objects having difference structure of topology.
在以边界面表示的体造型系统中，难以设计这些复杂结构。
These structures are hard to design by traditional boundary modeling system.
结构的边界表示为若干设计变量的函数，结构形状优化问题表示为数学规划问题。
The structural boundary is represented by a function cf a series of design variables. Then the structural shape optimal design can be represented as a problem of mathematical programming.
介绍，半边网格结构是一个多能的边界表示法，在编写快速边界邻接查询和统一定位方面的工具非常有用。
The half-edge mesh structure is a manifold boundary representation, useful for writing tools that rely on quick adjacency queries and a uniform orientation.
介绍，半边网格结构是一个多能的边界表示法，在编写快速边界邻接查询和统一定位方面的工具非常有用。
The half-edge mesh structure is a manifold boundary representation, useful for writing tools that rely on quick adjacency queries and a uniform orientation.
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