orientation of surface

In this paper we show that if a graph G is a triangulation of an orientable surface S_h, then G has a near-triangular embedding into S_k for k = h, h + 1.

在本文中我们证明了如下结果：如果一个图G在某个可定向曲面S_h上有三角剖分嵌入,那么G在S_k上有一个近三角剖分嵌入,这里k=h,h+1,…,[β(G)/2],而β(G)是图G的Betti数。

Using combinatorial thoughts and topological methods,a closed curve system that contains the most number of non-contractible,pair-wise disjoint and pair-wise non-homotopic closed curves on the orientable surface is investigated.

利用组合数学的思想、拓扑的方法研究在可定向曲面上,一类含有个数最多的不可收缩的、两两不相交、互不同伦的圈(闭曲线)系统及其性质,得出了关于这些圈的一些拓扑定性性质,并给出这些圈在曲面上的位置分布。

In this paper, firstly, the embeddability of near-triangular graphs on the orientable surface is studied.

本文首先研究了近三角剖分图的可定向曲面嵌入性质，通过运用Petersen关于1-因子的定理，首先证明了对于可定向曲面上的三角剖分图，其几何对偶图具有1-因子；然后在1-因子的导向下，通过做一系列增加亏格的手术，证明了如果一个图G三角剖分可定向曲面S_g，那么G可以近三角剖分可定向曲面S_h，这里h=g，g+1，…，「(β(G))／2」，β(G)是指图G的Betti数，从而得出推论：可定向曲面上的三角剖分图是上可嵌入的，作为推广，又研究了一类近四角剖分图的可定向曲面嵌入性质，并得到类似的结论。

Equivalence of the Orienation-Reversing Free Actions on Closed Orientable Surfaces by Finite Groups;

有限群在可定向闭曲面上反向自由作用的等价性(英文)

Parametrization of the Closed Triangular Surfaces for Surface Fitting

面向曲面拟合的封闭网格曲面参数化

Gradient Estimates for Closed Starshaped Hypersurface with Prescribed Curvature;

预定曲率的闭星形超曲面解的梯度估计

Closed Adjustable Spline Curve with Given Tangent Polygon

与给定多边形相切的可调闭样条曲线

NEW METHOD TO DETERMINE BOUNDARY DATA STRUCTURE OF SHAPE WITH CLOSED CURVED-SURFACE DOMAIN

确定曲面闭域形体边界数据结构的一种新方法

On one Theorem of Directed Areas for Plane Closed Folding;

关于平面闭折线有向面积的一个定理及其推论

In order to avoid flying to the batting of outside, both hands translat pole one lightly and will cause hook to state of closing.

为了避免飞向外侧的击球，双手轻翻杆面至闭合状态会导致左曲球。

Of or relating to a surface having no boundary curves.

闭合曲面的无边界曲线的面的，或与之相关的

Research on Feasible Tool Orientation Computation for NC Machining of NURBS Surface;

NURBS曲面数控加工刀具可行方向计算研究

Design of LED directional illumination based on simultaneous multiple surface

一种基于同步多曲面方法的LED定向照明设计

Surfaces used widely in engineering, such as gyration surface, developed surface, the normal circular-arc surface and so on, are the typical Bertrand surface.

文中指出，工程上常用的回转面、可展面、法向圆弧曲面等均属典型的白川德曲面。

And the net magnetic flux entering or leaving a closed surface S is zero.

穿入和穿出一闭合曲面的净磁通为零。

The pressure which is Built up on the air-fuel mixture then causes it to flow up through the intake port into the engine cylinder when the piston moves down far enough to clear the intake port

压力使片簧阀关闭,这样,活塞进一步的向下运动压缩留在曲轴箱中的可燃混合气。

In Eq. (53)it is assumed that there is no restraint to the free warping of the cross sections.

在式（53）中，可假定对截面的自由翘曲没有阻碍。

On Some Fixed Value Theorems for Directed Areas in Elliptic Circumscribed Polygons and Their Applications

椭圆类二次曲线外切多边形中有向面积的定值定理及其应用

Research on Domain-specific Visual Modeling Technology

面向特定领域的可视化建模技术研究

A Method for Analyzing Approximation Property of Boundary Surfaces by Isosurfaces

3维图像中边界曲面可被等值面逼近的判定方法

The Full and Essential Condition of a Ruled Surface Being a Developable Surface

直纹曲面是可展曲面的一个充要条件