光滑平面

The surface representation in discrete form and its differential computation are important issues in computer graphics and geometric design.

0引言一般来说，曲面的一阶微分量是指曲面的切平面方向和法向量，二阶微分量是指曲面的曲率等有关量·它们作为重要的曲面信息度量指标，在计算机图形学，机器人视觉和计算机辅助设计等领域发挥了重要的作用·传统的曲面是连续形式的参数曲面和隐式曲面，其微分量的计算已经有了较完备的方法·随着激光测距扫描等三维数据采样技术和硬件设备的长足进步，以及图形工业对任意拓扑结构光滑曲面造型的需求日益迫切，离散形式的曲面———细分曲面、网格曲面和点云曲面正在逐渐成为计算机图形学和几何设计领域的新宠·于是，对这种离散形式的曲面如何估

Further more, the fractal feature of acid treated RDF residue is also discussed. The surface of residue seems smoother and form Euclidean plane after acid treatment.

对半焦的分形维数分析表明，酸洗后表面变得光滑，形成欧氏平面。

Let AB in the figure above represent an inclined plane the surface of which is smooth and unbending.

顺序分译法：设上图中AB代表一个倾斜平面，其表面光滑不弯。本新闻共2页，当前在第1页 1 2

On the basis of the achieved result and the effect of stress such as minor principal stress, intermediate principal stress, hydrostatic pressure, stress Lode degree, a generalized hyperbolic failure function adapted naturally with the envelope form of Mohr-Coulomb criterion is proposed for brittle rocks; and a smooth failure function acquired by Yu Maohong is also presented. Thus, a generalized polyaxial strain energy strength criterion is created.

在分析脆性岩石强度的静水压力、中间主应力、最小主应力以及应力Lode角等4种效应的基础上，提出子午面上与Mohr-Coulomb准则包络线自然衔接的广义双曲线型破坏函数及八面体偏平面上光滑角隅型破坏函数，从而建立非线性广义多轴应变能强度准则。

The characters of the singular point of the visible contour line of a concave rotative surface and its corresponding projection are analyzed on condition that the projection of the contour line is smooth near the singular point , the shape of the visible contour line of a concave rotative surface near the singular point is further studied.

对凹回转面可见轮廓线的投影在奇点附近仍光滑的情况下，分析了可见轮廓线本身与奇点对应点处的曲线特征以及可见轮廓线在其对称平面的投影图上与奇点对应的点的特征。对凹回转面可见轮廓线在奇点附近形状作了进一步的分析与研

To'.'' a smooth horizontal or gently sloping surface.

平面为光滑的水平或者倾斜的表面。

And then, using Matlab, we give some examples on regular surfaces. For example, plane, helicoidal, 3-dimensional Gauss profile, etc.

最后利用数学软件Matlab，给出了一系列的由光滑曲面上的参数曲线网经过离散化得到的离散参数曲线网，如平面，正螺面，三维Gauss型分布图，由3dMax生成的一般曲面等。

Mallets should be smooth and level, weight, and in each of the mallets on the plane marked with the actual weight of a heavy hammer markings.

重锤应光滑平整、重量准确，并在每个重锤的上平面标有重锤的实际重量的标记。

Numerical simulations of fully developed turbulent flow over triangle,scallop and blade riblets biomimetics non-smooth surface were performed to educe the reason of different drag reduction by different riblets,which can provide guide for design optimization riblets.

分析了三种沟槽非光滑表面的流场特性，对计算域中心Z=3mm平面的速度场和湍流统计量进行了研究，分析了不同沟槽形状对减阻效果的影响，为最佳减阻沟槽设计提供了理论依据。

Massage is the nail in the nail root of the painted fingernails, a nutrition emulsion, with one hand and the thumb nail in the plane to make a circular motion gently twist-by, but also to dip a finger on the temperature 20-30 ℃ Bin olive oil around the basin of Lam 2-3 minutes and then wipe with olive oil, which were very effective in soft nails, smooth.

指甲按摩就是在指甲的根部涂上一层指甲营养乳液、用另一只手的大拇指在指甲平面作转圈式的轻轻搓按，还可把手指浸放在温度20—30℃左右的橄槟油榄的盆子里2—3分钟，然后再把橄榄油擦净，这样能有效地使指甲柔软、光滑。

Chrysanthemum of 10 thousand birthday is lax to edaphic requirement, with the arenaceous qualitative loam with fecund, good drainage had better.

万寿菊对土壤要求不严，以肥沃。排水良好的砂质壤土为好。

He unstepped the mast and furled the sail and tied it.

他拔下桅杆，把帆卷起，系住。