topological manifold 中文意思是什麼
topological manifold
解釋
拓撲廖- topological : 拓撲的
- manifold : adj 1 許多的；種種的，多樣的，多方面的，五花八門。2 由許多部分形成的。n 1 復寫本。2 【機械工程】...
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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
廣義有理參數曲線曲面定義在與控制網格拓撲同胚的微分流形上，以高度一般的勢函數為基函數，其控制網格可以是任意的一維拓撲流形和二維可定向拓撲流形。 -
According to topological structure of control mesh, we generate generalized rational parametric surfaces in two manners. for a control mesh with consistent parameterization, the surface can be easily constructed because it can be mapped to differential manifold directly
對于具有簡單拓撲結構，存在著一致的全局參數化的控制網格，我們將把控制網格直接映射到微分流形上，因此可以很容易地對曲面進行構造和控制。 -
By employing the potential function, we construct the unit partition on differential manifold. and then, by regarding the curve and surface as a map from differential manifold to topological manifold, we present the framework of grpcs and discussed its basic properties in detail
然後通過勢函數來構造微分流形上的單位分解，將曲線曲面看作微分流形到拓撲流形的映射，給出了廣義有理參數曲線曲面的整體理論框架，並對廣義有理參數曲線曲面的基本性質進行了討論。
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