计算机辅助几何设计

矩阵实例运算表明，借助β基可以加快B啨zier曲线的求值速度，提高计算机辅助几何设计系统的效率。

The operating results of example matrices show that β basis can accelerate the computational speed of the B é zier curve and increase the efficiency of CAGD systems .

在计算机辅助几何设计领域中，许多种参数曲线和曲面已经有了完整的理论。

Many parametric curves and surfaces have been developed in CAGD .

基函数在计算机辅助几何设计中起着基础和决定性的作用，本文探讨了有理B（？）

In the Computer Aided Geometric Design basic functions have a basic and determining action .

坝内廊道的计算机辅助几何设计及CAD软件的研制

The Computer Aided Geometrical Design and Development of the CAD Software for Galleries in Concrete Dams

所介绍的CAD包括：计算机辅助几何设计、辅助分析、辅助试验和辅助绘图；

The functional areas of CAD described are : geometric modelling , analysis , testing and drafting .

Polar形式在计算机辅助几何设计里的应用

The Application of Polar Form in Computer Aided Geometric Design

依据公式，本文给出了三次均匀B样条曲线、曲面的细分算法，在计算机辅助几何设计和计算机图形中学具有广泛的实用价值。

Accordlng to the general formulae , this paper presents the two algorithms for splitting non-uniformly the uniform B-Spline curve segment and surface patch .

B样条方法是计算机辅助几何设计（CAGD）的一类重要方法，拥有着很多良好的性质。

B-spline method play an important part in Computer Aided Geometry Design ( CAGD ) .

计算机辅助几何设计（ComputerAidedGeometricDesign，简称CAGD）是随着航空、汽车等现代工业发展与计算机的出现而产生与发展起来的一门学科。

Computer Aided Geometric Design ( CAGD ) is a subject which emerged with the development of modern industry and computer science .

在计算机辅助几何设计和计算机图形学领域中，用代数曲面构造Blending曲面有着广泛的应用。

The method of constructing a smooth algebraic surface to blend the given surfaces widely appears in Computer Aided Geometric Design .

目前，曲面重构已成为计算机辅助几何设计（ComputerAidedGeometricDesign，CAGD）和计算机图形学（computergraphics，CG）中研究的一个热点。

At present , Surface Reconstruction research has become a hot point in Computer Aided Geometric Design ( CAGD ) Computer Graphics ( CG ) .

近年来随着航空、造船、机械设计和制造等现代工业的蓬勃发展，计算机辅助几何设计，简称CAGD（ComputerAidedGeometricDesign），逐步成为的一门新兴的交叉学科。

In recent years , following the development of aviation , shipbuilding and industrial design and manufacture , Computer Aided Geometric Design ( CAGD ) becomes a new cross-cover subject .

本文主要讨论Polar形式在计算机辅助几何设计（CACD）中的应用。

This paper mainly discuss some application of polar form in Computer Aided Geometry Design .

带形状参数的Bezier曲线和B样条曲线的扩展目前为计算机辅助几何设计中研究的热点问题。

The extension of Bezier curves and B-spline curves with parameters has become a hotspot in CAGD recently , partially influenced by the enormous growing computing technologies .

计算机辅助几何设计（简称CAGD）中对自由曲面的研究已较为成熟。

Research on free surface is mature in Computer Aided Geometric Design ( CAGD ) .

三维模型的孔洞修补是计算机辅助几何设计（CAGD）中一个重要课题。

Hole filling of three-dimensional model is an important subject in Computer Aided Geometric Design .

几何连续性的求解是计算机辅助几何设计（CAGD）中的一个关键问题。

The computation of geometric continuity is one of the key problems in Computer Aided Geometric Design ( CAGD ) .

计算机辅助几何设计（CAGD）为计算机辅助设计（CAD）技术服务，是为CAD的外形设计提供建立数学模型的有效工具。

Computer aided geometric design ( CAGD ) serves the technique of computer aided design ( CAD ) and is a powerful tool to provide mathematic models for the design of CAD .

构造一条满足给定端点条件的光顺曲线是计算机辅助几何设计（CAGD）中的一个基本问题。

Constructing a smooth curve with given endpoint conditions is a fundamental problem in computer aided geometric design ( CAGD ) .

曲线曲面重构一直是计算机辅助几何设计（CAGD）中最重要的研究内容之一。

Curve and surface reconstruction has been one of the most important content of research in Computer Aided Geometric Design ( CAGD ) .

采用计算机辅助几何设计的方法（CAGD法），对常用的输送粘液离心泵性能曲线换算系数实验曲线图进行计算机描绘；

By method of Computer Aided Geometrical Design ( CAGD ), conversion coefficients curves of performance curve of centrifugal pump handling viscous liquid have been precisely plotted in computer .

曲率单调变化（MCV）曲线段是造型人员对曲线进行整体形状控制的一个重要形状单元，也是计算机辅助几何设计领域构造光顺算法的一个重要概念。

The monotone curvature variation ( MCV ) pieces are widely used in practice to control the global shape of curves , and play an important role in curve smoothing .

在反向工程、CAD／CAM、计算机辅助几何设计（CAGD）和计算机图形学等领域，一个关键的问题是复杂曲面的重建，所使用的标准工具是NURBS曲面。

In the fields of Reserve Engineering , CAD / CAM , Computer Aided Geometric Design , Computer Graphics , etc. , the key problems are the reconstruction of complicated surfaces and the standard tools are NURBS curves and surfaces .

基于Metaball的技术是新发展起来的计算机辅助几何设计和计算机图形学的一项重要技术，它在许多领域具有广阔的应用前景。

The Metaball based technique is a newly developing important technique in computer aided geometry design and computer graphics field .

计算机辅助几何设计（CAGD），是随着航空、造船、机械设计和制造等现代工业的蓬勃发展而逐步发展起来的现代应用技术学科，也是应用数学的一个重要分支。

Computer Aided Geometric Design of the high technology on today is developed follow navigate , shipbuilding , machine design and manufacture prospered , also is the important branch of applied mathematic .

从计算机辅助几何设计（CAGD）方面分析现有曲面拼接算法，结合NURBS的原理，提出基于解析几何的巷道模型拼接算法和基于离散点的巷道拼接算法。

From the computer-aided geometric design ( CAGD ) analysis of existing surface stitching algorithm and NURBS with the principle , propose analytic geometry of the tunnel splicing algorithms and models based on discrete points of tunnel stitching algorithm .

六十年代以来，作为曲线拟合、函数逼近的有效工具，它被广泛应用于汽车、造船、航空等领域的计算机辅助几何设计（CAGD）工作中。

Since 1960 as an effective tool of curve fitting and function approximating , it has been widely used in the computer aided geometry design ( CAGD ) in the manufacture of automobile , ship and aircraft .

由于多面体细分算法提供了一个简单而有效的曲面生成方法，它已经成为在计算机辅助几何设计（CAGD）中进行复杂曲面造型的一个基本工具。

As polyhedral subdivision process provides a simple and efficient way to generate surfaces over polyhedral networks , it has become one of the basic tools in Computer Aided Geometric Design ( CAGD ) for modeling complex surfaces .

本文介绍URN模型在计算机辅助几何设计（CAGD）中的应用，提出两类新的概率模型&双次抽取模型与匹配抽取模型，给出递推公式，得到相应的调配函数。

This paper introduces some applications of the URN models to computer-aided design . Two kinds of probability model , double selection model and matched sampling model , are introduced , giving relevant recursion formulas and corresponding blending functions .

近年来，伴随着现代工业的飞速发展，计算机辅助几何设计（CAGD）已逐步成为一种新兴的交叉学科，其中用插值和逼近的方法研究曲面曲线造型问题是其最基础的研究课题之一。

In recent years , following the development of modern industrial and manufacture , Computer Aided Geometric Design ( CAGD ) becomes a new cross-cover subject . It is one of the most basic research which studies curve ( surface ) modeling by the method of interpolation and approximation .