It introduces the definition of Bezier, the drawing and calculation of the common-used Bezier and the advantage of developing flat-top based on Visual Basic.
介绍了Bezier曲线的基本概念、常用的Bezier曲线及绘制算法以及Visual Basic作为开发平台的优点。
The dividing surface method with Bez ier can not meet the needs of high precision and high speed. A fast tracing algo rithm is proposed.
针对目前常用的Bezier曲面分割法求交难以同时满足高精度和高速度要求的问题，提出了一种快速跟踪求交的算法。
In order to control the flow separation by reducing the diffusion factor and enlarging the diameter of inner circle, the meridian plane profile of the return channel was redesigned, which is achieved by substituting arbitrary curve for the circle with no change of the axial length of the stage. Bezier curve with eight parameters was chose to describe the shape of meridian plane profile, and the optimization of the meridian plane profile was implemented combining back-propagation neural network with genetic algorithm.
改进的主要思路是减小弯道前半部分通道的扩压度，并同时加大弯道出口内侧的转弯半径，主要做法是在不增加整级轴向尺寸的前提下，用任意曲线取代传统弯道的同心圆环结构，给定弯道回流器子午型线的外侧型线，采用Bezier曲线对内侧型线的2段曲线进行参数化描述，利用遗传算法和反向传播(back-propagation，BP)神经网络相结合的方法对内侧型线进行优化，得到新的弯道回流器子午型线。
Cutter blade in the face of the modeling, this paper presents a basic model of ideological confrontation flank milling reasoning and mathematical algorithm: First, the establishment of the cutter edge cross-section curve and the equation ruled surface and then through the algorithm to generate cutter rake face and the flank, Bezier curve-based algorithm to generate the surface of the spiral groove cutter in order to achieve the opposite blade face milling modeling.
在立铣刀的刃面的建模方面，本文提出了一种基本的建模思想对立铣刀的刀面进行数学推理和算法实现：首先建立立铣刀的刃口曲线及横截面的方程，然后通过直纹面生成算法建立立铣刀的前刀面和后刀面，通过基于Bezier曲线的曲面生成算法建立立铣刀的螺旋槽，从而实现了对立铣刀刃面的建模。
By this algorithm, we can encrypt the cubic B-spline curves and surface with amalgamating the coefficient-matrix of basis function for cubic B-spline and cubic Bezier.
本文最后利用TC-Bézier曲线为模型给出了一个简单的花瓶曲面造型系统。
Finally, when a 00, the limt situations for the developable modeling and surface development above are all disscussed and Compared with those on Bezier curve.
六、以上提出的C-B？zier曲线上可展曲面造型方法和曲面展开算法，均给出了当α→0时的极限，并与B？
In this paper, a effective method of the shape control of rational quartic Bezier curves based on the weights modification was presented.
给出了一种基于权因子调整的四次Bézier 曲线形状控制的有效方法。
Based on Bezier curve continuance of first－order and second－order derivative, the characteristic vector equation of two Bezier curve is presented in point of intersection. The algorithm is not only of high accuracy with all of the interpolated points being on the curve theoretically, but also of very high speed in the real－time interpolation processes. The interpolation velocity does not change and the segment tolerance of interpolation can be control by selecting the parameter in cerement rationally every time.
为保证两段Bezier曲线在连接点处一阶导数、二阶导数连续，导出了两段Bezier曲线特征向量应满足的关系方程，Bezier插补法不仅在理论上可使所有的插补点落在曲线上，而且实时插曲补速度高，每次插补时可合理地选择参数增量，能使插补速度保证不变，也可控制弓高误差。
In other words it is possible to incorporate several Bezier surfaces in one single NURBS surface.
在其他的话是有可能把数的Bezier曲面在一个单一的NURBS曲面。
Some applications of the Bezier curve to computer graphics are introduced in this paper. These include generating flowered patterns approximate drawing of profile of machine parts, designing the shape of industrial products with free curve, making three-dimensional picture of ratators with the Bezier curve as the generating line and plotting charts by smoothing out the graphs of discrete data of scientific experiments.
本文介绍Bézier曲线在计算机绘图中的某些应用，例如生成花纹图案，近似绘制机件的圆弧轮廓图，工业产品自由曲线轮廓的构形设计，生成以Bézier曲线为母线的旋转体三维图象，利用Bézier曲线的凸包性对离散的科学实验数据进行平滑处理绘出数据图表等。
Bezier curve has strong ability in practice and is widely used.
在实践中，它表现了强大的生命力，用途广泛。
Bezier curve is one of the most widely used curves in Computer Aided Geometry Design.
Bezier曲线是计算机辅助几何设计领域中广泛运用的一种曲线。
A new design method of centrifugal impeller meridian plane was proposed, and in this method of Bezier curve with four degree was used to design the hub and shroud meridian streamline and the blade inlet.
提出一种离心叶轮轴面设计的新方法，该方法采用4次Bezier曲线设计叶轮的轴面流线及叶片的进口边。
This program is a generation bezier curves of small programs can be used to draw the curves look at the procedure for the expression an...
本程序是一个生成bezier曲线的小程序，可以用来借鉴看曲线在程序中的表达和生成过程。
In particular, the bicubic negative Bezier surfaces is studied, and a simple and effective algorithm is presented.
在第四章中，得到了几个使Bezier曲面与B-B曲面成为负高斯曲率曲面的充分条件。
Bicubic Bezier surface to achieve, with 16 control points to control the shape of surface.
详细说明：实现双三次贝塞尔曲面，用16个控制点控制曲面的形状。
This will allow you to adjust all of your Bezier curves to createa nice curved shape like the one pictured to the right.
这将允许你调整所有的贝塞尔曲线，来创建一个像右图那样的不错的弯曲形状。
His view is backed up by Bezier group technology director Glenn Batty, whose firm uses Brightblue and Prism and is interested in expanding its use of SaaS as MIS.
他的看法是后盾，由贝塞尔集团技术总监格伦batty ，其坚定的用途brightblue和棱镜和有兴趣在扩大其使用saas作为MIS系统。
This paper presents the dynamic controlling method of stream lines on axial plane projection of the hydraulic model and square grid of the blade drawing of the pump impeller. The ideas and methods of the application of Bezier curve in impeller CAD are analyzed in detail.
提出采用Bezier曲线解决水泵叶轮水力模型轴面投影流线及叶片绘型的方格网流线的动态调控方法，详尽地分析了在叶轮CAD中应用Bezier曲线的具体思路与方法。
Some different method is used to fulfill the Bezier and NURBS surface fitting.
采用不同的方法实现Bézier和NURBS曲面拟合。