她大胆进入第三维空间，绘制出曲面表示植物的轮廓。
She ventured into the third dimension to produce graphs that map the contours of plants.
得到三维物体表面的曲面表示是反向工程的主要目的。
The one of main goals of Reverse Engineering is to get the representation of smooth surface of object.
根据实物模型的坐标测量，数据重建模型的三角网格曲面表示在实践中有着广泛的应用。
Triangle mesh surface reconstruction on digitized poi nts obtained from existing physical objects is widely used in practice.
针对STL曲面模型中关键区域的曲面表示精准化问题，提出了相关的精度区域精准化方法。
This paper proposed the area precision accurateness method for STL curved surface model, which studied the curved surface precision topic about the key area in the STL curved surface.
模具曲面用通过毛坯和型材截面的带张力参数的弗格森曲面表示，具有通用和曲面形状变化丰富的特点。
The die surface is represented by the Ferguson surface with tension parameter through transverse sections of product and billet, so it is universal and flexible.
曲面缝合是曲面造型过程中常用到的处理技术，即把由多张裁剪曲面表示的模型转换成一个“不漏水”的模型。
That is referred to how a model represented by many trimmed surfaces is transferred to a watertight model.
绘图法中的地图投影方法可以在平面中表示一个两维的曲面，例如一个标准地图。
Map projection in cartography is a way to present a two-dimensional curved surface on a plane, such as a normal map. Figure 2 shows a Traverse Mercator projection.
它表示曲面上的面积元素。
也许我们不知道如何直接用x，y表示，但是曲面是由某些方程给出的。
z Maybe we don't know how to solve for z as a function of x and y, but our surface is given by some equation.
他表示，建筑如果全部运用曲面玻璃建成，花费将非常昂贵，过程也会非常复杂，但是一切都非常值得。
He noted that using curved glass all the way along the building would be expensive and complex, but well worth the effort.
矢量图形网格模型是实体的一种基本表示形式，特别对于描述具有复杂曲线曲面的实体可以说是一种最有效的表达方法。
Vector graph mesh model is a basic representation type of a body, particularly it is the most effective presentation method to representation complex body with curve and surface .
用参数曲面片法进行接触判断，对于曲面的表示有连续及相容的要求，但用CAD设计的裁剪曲面并不满足这个要求。
Surface patch must be continuous and consistent for contact judgment by the method of parameter surface patch, but the trimmed surface from CAD does not suffice the request.
文章提出了基于几何图像表示的点云曲面网络渐进传输方法。
This paper proposes a geometry image representation based progressive transmission of point cloud surface on the network.
本文研究光滑曲面上曲线的计算机表示、插值与逼近等。
The interpolation, approximation and other things for curves on smooth surfaces with computer are studied.
解决了这三个问题就可以得到基于轮廓数据的三角网格模型，它是原始轮廓对应的曲面的分片逼近表示。
The result after solution of the correspondence, branching and tiling problems is a triangular mesh that is a piecewise planar approximation of a surface consistent with the contours.
细分曲面是基于网格的离散曲面造型新技术，它通过定义控制网格和细分规则来表示造型曲面。
Subdivision surface is a new geometric modeling technology of discrete surface based on mesh. It can express modeling surface through control mesh and subdivision rules.
同时它还能精确表示圆弧、椭圆弧等二次曲线，推广到空间即可以表示旋转曲面。
Also the curves can express the circle arc and ellipse arc and can construct rotate surfaces.
本文导出了双参数曲面族用参数形式表示时包络面的计算公式。
In this paper we derive the formula for computing the envelope of a bi-parametric family of surfaces, when they are expressed in parameters.
曲面的第三基本形式是球面的第一基本形式在曲面上的表示。
The third fundamental form of a surface is the representation on the surface for the first fundamental form of a sphere.
在汽车覆盖件冲压工艺设计过程中，采用投影点集表示曲面的局部形状；
The local shape of a vehicle cover panel surface is very important in the course of its stamping designing process.
提出了显式方程和参数方程表示的曲面的一种绘制算法，该算法可以绘制任意复杂的方程曲面。
An algorithm which can draw any complex surfaces expressed by explicit equation or parametric equation was given.
对于给定的网格曲面，首先将其转换为正方形面元表示，然后对正方形面元进行编码压缩。
First we get the square surfel representation to replace triangular mesh, Then encode the square surfel with octree linear code.
给出了NURBS三次与二次基函数系数矩阵表示和NURBS三次曲面矩阵块表示。
The coefficient matrixes of cubic and square NURBS base functions and the expression of block matrixes of cubic NURBS surface are given.
无论是曲面拟合法还是路径线法，各量计线上增殖误差可用时间多项式函数来表示，且多项式最高幂次数与量计线数目有关。
Propagation error for each gage can be expressed as polynomial of time and the highest power of polynomial ism-1, which mis the number of gages.
首先给出能够表示任意多个自由曲面拓扑结构的描述，该模型可用于表示反求工程中的任意物体。
A simple topology model is presented to represent complex topology structure of free form surfaces to compose arbitrary object for reverse engineering.
细分方法是一种新的离散造型技术，细分曲面通过定义控制网格的细分规则来表示造型曲面。
Subdivision is a new method of discrete modeling. By defining the refinement rules of control meshes, subdivision surface can be considered as a method of surface modeling.
采用响应面法建立了表示比吸能随材料参数而变化的曲面，和高次多项式拟合时的相对误差曲线。
Then the response surface method(RSM) is utilized to establish the response surfaces or curve of SEA vs. material parameters and the curves of relative error in high-order polynomial fitting.
提出了利用正四面体的某些截面表示一定组成，得出相分离曲线和相分离曲面，并能较好地描述四元体系。
Some of the cross sections are used to stand for a certain component, and semiternary phase diagrams are ploted, then a quaternary phase diagram shown in a tetrahedron is obtained.
提出了利用正四面体的某些截面表示一定组成，得出相分离曲线和相分离曲面，并能较好地描述四元体系。
Some of the cross sections are used to stand for a certain component, and semiternary phase diagrams are ploted, then a quaternary phase diagram shown in a tetrahedron is obtained.
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