曲面

It is an essential tool and purpose in surface modeling to interpolate the given curves.

插值已知曲线是曲面造型中的一个重要追求目标或手段。

In this paper an efficient method that can interpolate cubic NURBS curves is proposed for generating the subdivision surfaces.

鉴于此，提出了一种高效的可以插值三次NURBS曲线的细分曲面生成方法。

The method proposed in this paper will interpolate intersecting curves in the given mesh.

运用该方法可在三角网格生成的细分曲面中插值多达六条的相交曲线。

To improve the machining quality and the efficiency of curves, a novel Non-Uniform Rational B-Spline interpolation algorithm based on redundancy error and velocity smooth control was proposed.

为提高曲面加工的质量和效率，提出了一种基于冗余误差和速度平滑控制的非均匀有理B样条曲线插补算法。

Parameter curve and curved surface interpolation are the symbolic function of modern number control system.

其中，参数曲线、参数曲面插补是现代数控系统的标志性功能。

In these methods, the common methods include mapping method, interpolation method and curve grid method.

其中，映射法要求曲面光滑，并且除法的引入会带来一些计算上的问题。

The problems are investigated by using polynomial interpolation and symbolic computation, and the proposed method is applied for curve and surface cases.

基于多项式插值和符号计算的思想，研究了Bernstein多项式函数复合问题，并将其应用于曲线曲面的情形。

The experimental results, show that the RBF neural network is suitable for solving the problem of scattered data interpolation on a surface, and is more efficient than traditional methods. Furthermore, it can be easily generalized to solve the scattered data interpolation problem in higher dimensions.

从应用结果来看，RBF网络适合于解决曲面离散点集的光滑插值问题，比传统的样条方法更有效、更方便，具有较好的使用价值，并且可以很容易地推广到求解高维散乱数据插值问题之中。

The multivariate polynomial interpolation problem is a classical mathematical problem that is widely used in many fields, such as multivariate function list, surface design and finite element method. In recent years, multivariate polynomial interpolation has been focused by many people, of which the geometric topological struction of sets of interpolation nodes is also much concerned by us.

多元多项式插值问题是一个十分具有研究意义和实际应用价值的数学问题，它广泛应用于多元函数列表，以及曲面的外形设计和有限元法等诸多领域，近年来多元多项式插值越来越受到人们的广泛关注，其中有关插值结点组的几何拓扑结构问题也是人们十分关注的内容。1998年，梁学章和吕春梅在文献[2]中借助代数几何中的有关理论，进一步讨论了沿无重复分量平面代数曲线上的Lagrange插值问题，并应用Cayley ？

Algorithm to quickly calculate the intersecting lines between free-form surfaces in CAD/CAM .

快速完备的用于CAD/CAM自由曲面求交的算法。

The concept of equivalent rotationally rigidity is offered and the formula of rotationally rigidity is obtained.

主要做了如下几个方面的工作：对伸臂位于顶部的单层框架—筒体模型进行分析，提出了等效转动约束的概念和转动约束刚度的表达式。

Male cats normally do not need aftercare with the exception of the night after the anesthetic.

男猫通常不需要善后除了晚上的麻醉。