蒙皮法是目前市场上CAD系统中一种比较常见的曲面定义方法。
Skinning is a common method of surface definition in the CAD system.
本文证明了：正则曲面定义的条件“X是一个同胚可以减弱为条件”X是一对一的。
The paper shows, that the condition "X is a homeomorphism" of the definition of a regular surfaces can be substituted with the condition "X is One-to-one".
如果存在一些区域空间,边界为曲面,定义n为指向区域R外的法向量。
So if you have some region of space S and you call its boundary surface S and you let n be the normal vector that goes out of the region R.
为了画出图像,观察由z=-y所定义的空间中的曲面。
So, to draw the graph we look at the surface in space defined by z equals -y.
曲面建模法精确定义了要建模对象的外部结构。
Surface modeling defines precisely the outside of the object being modeled.
论述空间曲面的平面映射定义及其变形；
The definition and the deformations of planar mapping of a curved surface are presented in this paper.
用户也能够定义必要的几何约束来进一步控制曲面外形。
The user is also able to define necessary geometric constraints, so as to further control the surface shape.
作出弹性共轭曲面的定义。
The definition of elastic conjugate surfaces (ECS) is given.
定义设是三维空间中的光滑曲面，在上有界。
Definition let be a smooth surface in three-space, and let be bounded on.
据梯度、散度、旋度的定义，用物理的方法给出了在球坐标系中的表达式；此方法也可以推广到其它的正交曲面坐标系中。
According to the definitions of grads, divergence and rotation, the expression in spherical coordinate system is given from the point of physics.
不同屈服应力定义对初始屈服曲面的后继屈服曲面的影响；
The effect of the definition of yield stress on the initial and subsequent yield surfaces.
本文详细讨论了既有线表面曲面模型的数据特点、数据点分布，以及曲面模型上定义的计算等问题。
In this paper, characteristics and distribution of surface data and computation defined on these curve surfaces are discussed in detail.
本文定义了伪黎曼空间型中的旋转超曲面，并给出其参数表达式及主曲率计算公式。
Rotation hypersurfaces in pseudo-Riemannian space forms are defined and their explicit parametrizations are given in the present paper, and their principal curvatures are computed.
有关的算法有根据定义的左右曲面角相等，法截面法和切向投影等。
The existing algorithms include equivalent left and right curve Angle by definition, normal section line method and tangent projection etc.
裁剪曲面是基本图形交换规范（IGES）的主要内容，详细介绍了IGES文件中裁剪曲面的定义格式。
The definition of trimmed surface is main content of Initial Graphics Exchange Specification(IGES). The format of trimmed surface description in IGES file is discussed in detail.
本文给出了关于二阶曲面的代数定义和射影定义之间的等价性定理。
This article is told the sense of equivalence between algebraic definition and projecting definition.
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.
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.
根据空间凸轮曲面压力角的定义推导出新型弧面凸轮分度机构压力角的解析表达式，分析该机构压力角出现最大值的情况，同时对如何降低最大压力角提出了一些改进措施。
According to defining of the global CAM curve, the resolution express of press Angle about a new type of indexing mechanism with arc surface CAM is provided.
其主要步骤有：1。定义叶片轮廓曲面的中心曲线。
利用曲面网格的边界曲线直接定义3D曲面，既能保证曲面的光滑过渡，即C1连续，又可避免通过确定扭矢来达到控制曲面的复杂计算。
The 3D surface can be defined directly by the boundary curve of the patch surface. The surface will be C1 continuous if the boundary curves connecting each two patches are C1 continuous.
为了减小抛光加工的表面粗糙度和提高效率，构建抛光工具路径并均匀覆盖于三维曲面上，曲面的定义域为任意二维凸区域。
Polishing tool paths were constructed to evenly cover a 3-d free-form surface defined within a 2-d convex domain to reduce surface roughness and improve efficiency.
然后，从背景曲面的边界到内部逐个地搜索定义于背景曲面上某物理量的等值点，并按一定的规则将其连成等值线；
We searched each grid for picking up the 3D point position on which the quantity was equal to the designated contour level. Then these special points were connected in some contours according …
然后，从背景曲面的边界到内部逐个地搜索定义于背景曲面上某物理量的等值点，并按一定的规则将其连成等值线；
We searched each grid for picking up the 3D point position on which the quantity was equal to the designated contour level. Then these special points were connected in some contours according …
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