顶点

Two merging methods of Bézier curves are generalized to tensor product Bé zier surfaces, we propose two methods to approximate two pieces of adjacent tensor product Bézier surfaces by a piece of tensor product Bézier surface. We offer the explicit formulas of the merged tensor product Bézier surfaces with all kinds of merging conditions.

同样，Bézier曲线的两种合并方法也被成功的推广到张量积Bézier曲面上，得到把两片相邻张量积Bézier曲面合并成一片张量积Bézier曲面的两种合并方法，并给出在各种合并条件下的合并曲面控制顶点的显示表示式。

Two above methods are generalized to tensor product Bézier surfaces and triangular Bézier surfaces, we give two approaches of degree reduction for tensor product Bézier surfaces, each of which reduces a given degree n×m tensor product Bézier surface to a n〓×m〓 one, and two methods of degree reduction for triangular Bézier surfaces, which reduce a given degree n triangular Bézier surface to a degree m one. The explicit formulas of control points for reduced tensor product and triangular Bézier surfaces are obtained respectively.

张量积Bézier曲面的两种降阶方法均可把n×m阶张量积Bézier曲面一次降阶为n〓×m〓阶张量积Bézier曲面；三角Bézier曲面的两种降阶方法均可把n阶三角Bézier曲面一次降阶为m阶三角Bézier曲面，并给出降阶张量积Bézier曲面和降阶三角Bézier曲面控制顶点的显示表示式。

On the source data level, the vertices are assembled and tessellated.

在源数据层，顶点被组合及镶嵌。

However, these methods, that repeatedly merge nearby surface points or mesh vertices based on error minimization considerations, perform best for highly tessellated surfaces that are otherwise relatively smooth and topologically simple.

然而，这些基于误差最小考虑的重复的合并邻近表面的点或网格顶点方法，对于高度栅格化的平滑的拓扑简单的表面处理效果是最好的。

For traditional displacement mapping, the mesh is uniformly tessellated to a high number of polygons and then the vertices are displaced according to the height of the displacement map.

对于传统的 displacemnt 贴图， mesh 被不一致细化产生大量多边形并把顶点按照 displacement 纹理做移动。

Data can be supplied either by the vertex buffer or by the primitive tessellation engine .

顶点数据既可以由数据缓冲区提供，也可以由图元镶嵌引擎提供。

Data can be supplied either by the vertex buffer or by the primitive tessellation engine.

一开始，输入寄存器的编号和其功能之间没有严格的对应关系，比如某个顶点的坐标既可以被载入v0，也可以被载入v15。

Through studying two pairs of opposite vertices in tetragon, the author derived the curve equation of focus in form of complex number and its expression of right angle coordinate.

从研究四边形的两对对顶点出发，推导出复数形式的焦点曲线方程及其直角坐标表达

Based on the principle by which the top temperature of the bubbles has to be higher than the temperature of thermodynamic equilibrium, the contact period is determined.

再根据汽泡顶点温度必须高于热力平衡温度的原则，确定了接触周期，该计算分析结果与文献所给出的实验数据吻合较好

The selected musicians, ranging from ages 17 to 55, will participate in three days of master classes and rehearsals next month, culminating in an April 15 concert at Carnegie Hall conducted by Michael Tilson Thomas, the San Francisco Symphony's music director.

经过千挑百选的乐手年龄在17到55岁之间，他们下个月将参加3天大师主讲的讲习班及彩排，并於4月15日在卡内基音乐厅由旧金山交响乐团音乐总监汤玛斯指挥公演达到顶点。

Lugalbanda was a god and shepherd king of Uruk where he was worshipped for over a thousand years.

Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

I am coming just now,' and went on perfuming himself with Hunut, then he came and sat.

我来只是现在，'歼灭战perfuming自己与胡努特，那麼，他来到和SAT 。