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.
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.
提出了一种实现参数曲面上任意点选取的有效方法。
An effective method was brought forward to realize interactive selection of arbitrary point on parametric curved surface.
提出了一种基于参数曲面拟合的三维网格自动生成方法。
A scheme of automatic3D finite element mesh generation, based on parametric cubic surface, is proposed.
提出了一种基于参数曲面三角化的复杂曲面刀具轨迹生成方法。
Based on the triangulation of parametric surface, a new method of tool path generation for complicated multi surfaces is presented.
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.
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.
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。
Different methods for free deformation have been developed in the recent years to overcome difficulties in direct manipulation of surfaces.
该方法大大缩短了参数曲面实时插补的时间，明显提高了插补的效率。
This method has greatly shortened the interpolation time of parametric surfaces and obviously...
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.
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.
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.
用该方法对基于有理参数曲面的逆映射进行了一些探讨，并得到参数曲面的隐式方程。
Based on the new method, the paper discusses an inverse mapping of rational parameter surface, also, the implicit equation of the parametric equation is obtained.
将三维离散数据点集拟合为空间参数曲面，在此参数曲面上规划五轴激光加工的等距轨迹。
A parameterized spatial surface has been constructed from3 dimensional scattered data, and upon it the5 axis trace for laser processing can be laid out.
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.
对于参数曲面，采用先离散，再重新拟合的处理方法，建立统一的双三次参数样条曲面通用工件模型。
The input parametric surfaces are discrete, then we will get new surfaces with bicubic parameter spline function and build uniform workpiece model.
隐式曲面与参数曲面相比在创建、修改、可视化方面需要不同的技术，并且具有不同的性质及应用领域。
Implicit surfaces are different from parametric surfaces in creation, modification and visualization, and have different properties and applications.
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.
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.
该方法首先将壳体结构的参考曲面进行分片处理，利用参数曲面来描述分片的壳体参考曲面并将分片按照C 0连续性进行拼接。
In this method, the laminated shell structure is divided into patches and represented by parametric surfaces that are connected in boundary according to C0 continuity.
最后综合分析不同数据参数曲面的数学特征量值，考虑具体工程的特殊情况，尝试给出面板堆石坝混凝土面板上的传感器测点布置方案。
Last, analyze mathematic characters of different simulating surfaces, combine with real conditions of different projects, try to provide a solution to the CFRD monitoring sensors disposal.
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。
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.
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.
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.
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