曲面

Boolean sum surface scheme can provide much more applications than Tensor product method.

布尔和曲面较之张量积曲面具有更强的通用性。

Compare the result of this figure with that of Fig. 3. Even though that the Coons patch had many more data points as well as control points, the surface is not as good as the tensor product surface.

拿这个图形的结果和Fig.3对比一下，尽管昆氏曲面包含更多的数据点和控制点，但它还是比不上张量乘积曲面。

According to project operator concept, the many-knot spline and Hermite many-knot spline surfaces, which have the schemes of Boolean sum and Tensor product, are set up in this paper.

本文根据投影算子的概念，构造了多结点样条、多结点Hermite样条的布尔和曲面和张量积曲面。

Based on the theory of B spline,this paper discusses the sufficient and necessary conditions of G 1 continuity between two patches of bi cubic tensor product non uniform B spline surfaces in a special type,and gives a kind of sufficient condition of G 1 continuity so as to satisfy the need of application.

依据有关B样条理论，研究了一种特定类型的双三次张量积非均匀B样条曲面间G1光滑拼接的充要条件，且给出了此种类型的两张双三次张量积非均匀B样条曲面间G1光滑拼接的一个充分条件，以满足实际应用的需

Considering that the NURBS has become a standard in CAD/CAGD, we shall investigate the approximation to the solutions of the minimal surface equation with the tensor Bezier surface and B-spline surface.

首先我们讨论极小曲面的分片线性的逼近，由于NURBS已经成为形状描述的唯一工业标准，而且极小曲面本身至少应该是二阶光滑的，因此我们讨论了极小曲面方程的Bezier和B样条逼近。

Because Matlab uses complex matrix as its basic unit, we provided the matrix form of the Bezier curve and tensor product Bezier surface, and presented the ways to achieve them by using Matlab. On such a basis, we obtained the algorithm, made feasible programs and demonstrated them by concrete examples. Such a study aims at promoting the realization of CAGD toolbox by using Matlab.

由于Matlab的基本编程单元是复数矩阵，因此首先归纳出了一维Bezier曲线和二维张量积型Bezier曲面的矩阵表示形式，在此基础上形成算法，编写了可实现的程序，随后以具体实例的形式给予验证，最终得到了满足要求的曲线和曲面，以期能够推动Matlab的CAGD专业工具箱的产生。

For the Bezier tensor product surface, recursive degree elevation and subdivision both generate a sequence of control meshes that converge to the underlying Bezier surface, and get the piecewise bilinear approximation of the original surface.

将升阶和子划分算法分别应用于Bézier张量积曲面，会产生一系列的控制网格，得到原曲面的分片双线性逼近。

Most software now supports machining on a tessellated solid or surface model, and solid and surface definitions can be intermixed with the same hybrid model.

大部分软件目前都支持网格状实体或者曲面模型，实体和曲面定义可与相同的混合模型一起使用。

So this paper proposes a new method for automatic coarse registration of triangular meshes, which is used to approximately align the 3D measured data (represented in the form of triangular mesh) and the tessellated mesh of NURBS surface (instead of using NURBS surface itself to reduce computation) from larger initial pose difference.

为此本文提出了一种全新的三角网格面自动粗略配准方法，用来大致对齐相对位姿偏差较大的三维测量数据与NURBS曲面的离散网格（为减小计算量起见，此处不使用NURBS曲面本身）。

In this thesis, we study the patterns generation of two-dimensional surfaces. The surfaces include cylinder, torus and sphere.

在这一篇硕士论文中，主要研究的是在二维曲面的花样，这里讨论的二维曲面包含有圆柱、环面和球面。

Do you know, i need you to come back

你知道吗，我需要你回来

Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

1〕 杨银书，王祥生，李德昌。安徽省首次发现嗜群血蜱。