拓扑同胚 meaning in English

topological homeomorphism
topological mapping

In the framework , a control mesh may be arbitrary one - dimensional or two - dimensional orientated topological manifold , and the curve or surface is defined on differential manifold homeomorphic to the control mesh with a potential function as its basis functions . this method is an extension of nurbs , which efficiently overcomes the limitations of nurbs
广义有理参数曲线曲面定义在与控制网格拓扑同胚的微分流形上，以高度一般的势函数为基函数，其控制网格可以是任意的一维拓扑流形和二维可定向拓扑流形。
Its properties and design method is discussed in chapter 4 . for control meshes with arbitrary topology , we present a universal method in chapter 5 to construct parametric curves and surfaces . generalized rational parametric surface can be controlled precisely and flexible , and it is easy to model local features and 3d primitives
然后，在第五章中，我们将控制网格进一步推广到任意可定向二维拓扑流形，提出了一个通用的方法将控制网格映射到与之拓扑同胚的微分流形上，统一了广义有理参数曲线曲面的构造过程。