在超曲面几何学中，对主曲率的研究是至关重要的。
It is essential to study the principal curvature of hypersurface in the hypersurface geometry.
针对快速成形工艺特点，提出了一种基于实物的复杂曲面几何重建的方法。
According to the characteristics of RP technique, a method of geometric modeling for complex surfaces is proposed.
根据数理统计原理，从随机平稳过程理论出发，提出了一套描述裂隙空间曲面几何形态的三维指标和方法。
According to statistic stationary random process theory, a set of three - dimensional indexes and methods describing the shape of spatial curved surface of rough fracture have been presented.
就是做F·dS或是F·ndS的二重积分，为了能建立积分，需要用到曲面的几何性质，这与该曲面的类型有关。
Double integral of F.dS or F.ndS if you want, and to set this up, of course, I need to use the geometry of the surface depending on what the surface is.
总之，就是用几何方法或是在曲面上建立二重积分。
Use geometry or you need to set up for double integral of a surface.
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.
基于参数曲线和曲面控制的空间变形是重要的几何外形编辑和柔性物体动画实现手段。
Space Deformations controlled by parametric curve or surface are important methods for geometric shape edit and flexible object animation.
本文研究反向工程中曲面重构的几何连续性问题。
This thesis studies the problems of geometric continuity about surfaces reconstruction in Reverse Engineering.
曲面参数化是计算机图形学和计算机辅助几何设计中一个非常重要的问题。
Surface parametrization is one of important problems in computer graphics and computer aided geometric design.
本文根据几何非线性有限元理论，提出张力膜结构初始形态分析的8结点曲面四边形等参单元。
Based on the geometrical nonlinear finite element (GNFE) theory, a curved quadrilateral isoperimetric element with 8 nodes for initial form analysis of tensile membrane structures is presented.
本文研究NURBS曲面重构中的几何连续性问题。
This thesis studies the problems of geometric continuity in NURBS surfaces reconstruction.
添加一下曲面修改，然后我就有了这个几何体。我之所以更喜欢使用样条函数是因为这样速度会比较快和编辑的效率也比较高。
Added a surface modifier and bam, I had the geometry. I prefer to work with splines just because of the speed and editable efficiency.
即在建筑师给定预想的曲面形状的前提下，找出与此曲面相接近的初始平衡状态—初始张力的大小、分布和几何形状。
The aim of this part is to find an initial equilibrium state , the value and distribution of tension force and the geometry of the surface, when the location of the control points are confirmed.
针对一类四次隐式代数曲面，提出一种基于分片的几何参数化方法。
This paper proposes a piecewise geometric approach to parametrize a kind of quartic implicit algebraic surface.
它们的研究被称做曲面的内蕴几何。
Their study is called the intrinsic geometry of the surface.
雕塑实体模型通过裁剪曲面片和半边数据结构来表达几何和拓扑信息。
The topology and geometry of solid is represented by trimmed curve surface and half-edge data structure.
用计算几何的方法重构大型涡轮叶片曲面，可提高叶片的物理学性能；
Improvement of the physics performance of blade is obtained by reconstructing the large size surface of turbine blade based on calculation geometry.
研究建筑上常用的柱状面、锥状面和双曲抛物面等不可展直纹曲面的几何性质。
This paper explores three ruled surfaces geometry properties about columnar surface, cone surface and hyperbolic parabobid.
实验结果表明，该算法在没有增加计算量的基础上，可以有效地提高细分曲面的质量，并适合处理复杂的几何模型。
Through the experiment, we can see that our algorithm can improved the quality of the subdivision surface efficiently, and be fit to deal with complicated model.
局部拟合因其具有与通用CAD系统相同的数学模型，所以它是复杂曲面测量几何造型系统的常用方法。
The local fitting method is a common method of measure and geometric modeling systems for complicated curved surface because of its mathematical model the same as that of current CAD system.
并描绘出制造相关的几何模型，提出了斜等距曲面的概念及相关公式，并介绍它们在制造混流泵叶轮中的应用，最后用实例验证所述方法的可靠性。
Accordingly, the concept of inclined equidistant curved surface and its corresponding formulae are proposed. Its practical application has verified the reliability of the method introduced.
在三角形域上构造对边界曲线和跨界导数插值的三角曲面是计算机辅助几何设计和计算机图形学等领域中的基本问题。
Constructing triangle surface which interpolates the boundary curve and cross-boundary slopes on a triangle is the basic problem in computer aided geometric design, computer graphics and so on.
本文的目的是研究一些典型的NURBS曲面的几何连续条件，指出节点向量和曲面片的次数对几何连续性的影响。
The aims of this thesis are researching some typical NURBS surfaces' geometric continuous conditions and pointing out the effects of knot vector and the degree of surface on geometric continuities.
并在此基础上，分析了轮廓线在刀具曲面不同部分的形状及几何性质，列举了轮廓线各种可能性。
Based on that, geometric shapes and characteristics of the profile are fully analyzed on the different parts of the cutter.
几何造型是计算机辅助几何设计和计算机图形学的一项重要内容，而曲线曲面的设计与造型又是几何造型的一个主要内容。
An important topic of Computer Aided geometric design and Computer Graphics is geometric modeling, whose major components are free-form curves and surfaces design and modeling.
根据啮合基本定理提出的复杂曲面加工表面几何仿真算法是对几何仿真新的探索，具有较强的实际意义。
Algorithm of geometry simulation in machining complex curve surface depending on engagement theory is the new exploration for geometry simulation, it has better practical meaning.
并联机床；CAD变量几何；欧拉角；运动学；静力学；自由曲面；位置正解。
Parallel Machine Tool; CAD Variation Geometry; Euler Angle; Kinematics; Statics; Free-form Surface; Forward position.
微分几何中的曲面论，用两个变量就可以完全参数化一个二维曲面。
According to surface theory in differential geometry, the two-dimensional surface is parameterized by two variables.
微分几何中的曲面论，用两个变量就可以完全参数化一个二维曲面。
According to surface theory in differential geometry, the two-dimensional surface is parameterized by two variables.
应用推荐