快速精确地估计曲线曲面参数具有广泛的应用。
The rapid and precise evaluation of curve & surface parameterizations has wide application.
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.
使得算法不受具体的曲面参数化方式影响，简化了刀具定位时计算量，刀位得到了充分的优化。
During the improvement, the parameterization of the surface has no influence on the algorithm, the computation cost for tool positioning is also reduced, and the tool path is optimized thoroughly.
采用加权曲面参数方程拟合型腔侧壁曲面的算法，实现了子午线轮胎活络模模具型腔曲面的构造。
Apply the weighted surface parameter equation to fit the algorithm of cavity lateral surface, and realize the cavity surface construction of radial parting mold of meridian tire.
比方说已知，曲面s的参数形式。
Let's say that we are given a parametric description — of a surface s.
我们经常遇到的情形是,不知道如何参数化曲面。
What happens very often is we don't actually know how to parametize our surface.
有曲面的参数方程。
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.
主题包括使用实验设计和响应曲面造型，了解制造过程的物理，以及缺陷和产量建模和参数优化。
Topics include the use of experimental design and response surface modeling to understand manufacturing process physics, as well as defect and parametric yield modeling and optimization.
接下来，我们的任务就是将平面与拼接曲面的有效部分相交所得截线参数化。
Then our task is to parameterize the intersection of and the valid part of for some fixed .
本文主要研究了空间结构中自由曲面的参数化描述及网格划分算法，并编制了相应的程序。
This paper mainly researched on parametric description and meshing algorithm for the free surface of spatial structure with the program development.
以谱图表列数据或曲面拟合参数为放电样本的特征量。
The tabulated data or surface fitting parameters of these patterns were used as characteristic vectors.
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.
研究了三角网格模型上顶点曲率的估算方法，并用参数曲面的网格模型验证了曲率估算的精度。
The main contents are as follows:A vertex curvature estimation method for triangle mesh is researched and the accuracy of curvature estimation is verified by parameter surfaces.
文中的曲面或用参数方程表达或用符号距离函数表达。
In this paper, the surface is presented with a parameterized equation or a signed distance function.
有理参数多项式曲面的快速逐点生成算法在计算机图形学中有重要的应用。
The fast point-by-point algorithm for generating rational parametric surfaces has important application in computer graphics.
顶点位置和法向插值是参数曲面造型的重要内容。
Interpolation to vertex positions and normals is one of important contents in parametric surface modeling.
为了确定曲面误差与不确定度参数之间的关系，推导了曲面最佳适配的灵敏度矩阵。
In order to investigate the relationship between the surface geometric errors and the uncertainty parameters, the sensitivity matrix was deduced.
正则性是参数曲线曲面的重要代数性质，是由参数曲线曲面的参数化决定的。
Regularity is an important algebraic property of parametric curve and surface, which depends on the parameterization of parametric curve and surface.
在此算法的基础上，利用数据结构的理论，实现了任意参数曲面的求交及拼合，并绘出了相应的三维视图。
On the above algorithm basis, according to theory of data structures, the intersection of any parametric surfaces is found and three-dimensional graphs are given.
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.
对于广义有理参数曲面，根据控制网格的拓扑结构，我们分成两种情况来考虑。
According to topological structure of control mesh, we generate generalized rational parametric surfaces in two manners.
提出了一种新的通过控制参数曲面来实现物体的自由变形的方法。
A new method of free form deformation which is controlled by parametric surface is presented in this paper.
讨论了参数多项式曲面的快速生成。给出了用整数加减法逐点生成参数多项式曲面的快速算法。
Rapidly generating parametric polynomial surface was discussed, a fast algorithm of generating parametric polynomial surface was given which is based on integer addition and subtraction.
系统主要由读取数据文件模块、NURBS曲线生成模块、曲面构造模块、参数化修改模块、数据转换模块以及用户界面组成。
The system is mainly composed of file module of reading data, creation module of NURBS curve, surface construction module, parameterization modifying module, data conversion module and user interface.
跟踪求交是参数曲面求交常用的算法，而对于离散化的曲面也可以采用类似的方法。
A marching method for intersection is a common using algorithm for solving intersection of parametric surfaces, as well as that of discrete surfaces.
样条曲线曲面是在计算机图形学中应用最广泛的参数曲线曲面类型。
B-Spline curves and curve surfaces are the most commonly used parametric curves and surfaces in Computer Graphics.
NURBS曲面是计算机辅助几何设计和计算机图形中最常用的参数曲面。
NURBS surfaces are among the most commonly used parametric surfaces in CAGD and Computer Graphics.
提出了一种参数曲面与平面的精确求交新方法。
A new algorithm for calculating the intersection curves between parametric surface and a plane is presented.
提出了一种参数曲面与平面的精确求交新方法。
A new algorithm for calculating the intersection curves between parametric surface and a plane is presented.
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