参数曲线

所构造的拟合参数曲线是C′连续的分段二次参数曲线。

The constructed fitting curve is piecewise quadratic parametric polynomial .

一类含任意参量的B样条型三次参数曲线

A class of cubic parameter curves of B-spline type with arbitrary parameter

并且将这种方法具体应用在三次B样条参数曲线上，取得了很好的效果。

And this algorithm is well applied in the interpolation of cube B-Spline , curves .

B样条曲线曲面是在计算机图形学中应用最广泛的参数曲线曲面类型。

B-Spline curves and curve surfaces are the most commonly used parametric curves and surfaces in Computer Graphics .

（E2）Ⅰ类方程产生分界线环的参数曲线

The parameter curves of the boundary line cycles produced by the equations of class ( e_2 )ⅰ

递推法求一元n次实系数多项式函数的完全等价n次Bezier参数曲线

Bezier curve absolutely equaling to an unitary real parameter function DESIGN OF VARIABLE NUMBER PARAMETER FUNCTION

此外，还可以编写绘制样条曲线（spline）、非均匀有理B样条曲线（nonuniformrationalB-spline，NURB）和参数曲线（parametriccurve）等形状的几何算法。

In addition , you can code geometric algorithms that draw shapes like splines , nonuniform rational B-splines ( NURBs ), and parametric curves .

对于叶片的生成，本文采用Bezier参数曲线描述叶子中脉的形状，把树叶或草叶构成的星形结构纹理图象嵌入到叶脉参数曲线的局部标架中来实现。

As for the leaves , we use Bezier curves to describe shape of leaf midrib .

由于PH曲线不但比经典的多项式参数曲线具有独特的优点，而且保持了与标准B（？）

PH curves not only offer unique computational advantages over " ordinary " polynomial parametric curves in CAD / CAM applications , but also retain full compatibility with standard Bezier / B-spline representations .

给出了基于双三次B样条参数曲线面的表面纹理映射算法，和通过表面法向量扰动产生凹凸不平视觉效果的凸包纹理映射算法，并给出了立体纹理映射的实现方法。

Surface texture mapping algorithm based B-splint parameter surface , and bump mapping algorithm based surface voter twist to produce real objects sense are suggested . Solid mapping method is also introduced in the paper .

结果作业开始后，驾驶员4项生理参数曲线迅速同步升高，（36±3）min时形成第一次高峰，随后平稳下降；

Results The curves of the four main physiological parameters rapidly synchro-rose to a peak at ( 36 ± 3 ) min , whereafter the curves descended smoothly .

Bézier曲线是一种最重要且最简便的构造控制参数曲线方法，是计算机图形学的重要内容。

B é zier curves is a very important and simple method to construct control parameter curves , and it is the main content of computer graphics .

本文提出了一套全新的曲线曲面理论体系，称为广义有理参数曲线曲面（GeneralizedRationalParametricCurveandSurface）。

In the dissertation , a novel theoretical framework is proposed to represent and construct parametric curves and surfaces on manifold , named as generalized rational parametric curve and surface ( abbreviated as GRPCS ) .

由于PH曲线是导数模长为多项式的向量形多项式参数曲线，因此呈现出了良好的实际应用价值，例如它的弧长可以表示为参数的多项式函数曲线。

Because of the mode of PH curves ' derivate is a polynomial , PH curves have good value to apply in practice . For example , their arc length is a parameter polynomial .

采取优化、简化等快捷算法，实现了实时自适应的NURBS等参数曲线插补的加减速控制，并用实例进行了验证。

In this method , optimized and simplified algorithms are taken a step so that real-time adaptive control NURBS interpolation is realized and simulated successfully .

一般有理参数曲线到有理Be（？）ier曲线的转化

Converting A Rational Parametric Curve to A Rational Bezier Curve

内容包括参数曲线的一般理论、Bézier曲线理论和算法、B样条曲线理论和算法、NURBS曲线理论和算法。

The content of this part included the general theory of parameter curve , B é zier curve theory and its algorithms , B-spline curve theory and its algorithms , NURBS curve theory and its algorithms .

植物叶面的造型采用Bezier参数曲线描述叶子中脉的形状，然后将叶子的纹理图象嵌入到叶脉曲线的局部标架中。

We use Bezier curves to describe the shape of leaf midrib and embed the image of leaf into the space of local frames along the midrib curve .

结果表明，本文提出的A-t双参数曲线波形板分离叶片不仅分离效率高，而且流动损失小。

The results show that the A-t curve wave separator has a higher separation efficiency with a petty pressure loss .

构造了一类含四个参量的B样条型三次参数曲线，它以三次Hermite曲线、Ball曲线、Bezier曲线、Timmer曲线和B样条曲线为其特例。

A class of cubic parameter curve of B-spline type is constructed in this paper with four arbitrary parameters , the cubic Hermite curve , Ball curve , Bezier curve , Timmer curve and B-spline curve as its special cases .

提出在参数曲线和参数曲面的参数域的基于Metaball约束变形技术，并用此技术构造形状更丰富、自然的过渡曲线和过渡曲面。

A Metaball based deformation technique in parameter space is presented to create surfaces and curve with more abundant shapes and natural modality .

在弧长区间选择性地取若干插值节点，利用原参数曲线的C2连续性质，构造一类局部性Hermite插值三次样条，反插值参数曲线的弧长函数。

Selecting some knots on the arc interval and utilizing C 2 continuous of the original parameter curve , a Hermite interpolation cubic spline is constructed to approximately the inverse arc function of the parameter curve . Interpolator is local .

通过参数曲线全局凸和局部凸的定义，研究了Bézier曲线的凸性与其特征多边形的关系，并给出了Bézier曲线的全局凸性和局部凸性定理。

Through the definition for global convexity and local convexity of parameter curves , this paper studies the relations between convexity of B é zier curve and its characteristic polygon , and produces a theorem on the global convexity and another on local convexity of B é zier curves .

采用误差参数曲线的方法估计图像散焦半径，并计算点扩散函数，构造出改进的Wiener滤波器，并用DSP硬件系统实现，应用于磁粉探伤系统散焦图像的处理。

The method based on error-parameter curve is used to estimate out-of-focus radius of image , the point spread function is computed to construct the improved Wiener filer , which is realized by DSP hardware system and applied to process the out-of-focus image in the magnetic particle testing system .

在参数曲线的理论基础上，详细介绍了系统中军标符号的设计方法，实现了态势标绘功能，并采用XML和NetMeetingCOM组件技术进一步实现了远程实时协同态势标绘功能。

Based on the theory of parameterized curve , the author presents the design of military symbol to serve as the basis of battlefield situational plotting . And further , based on the technology of XML and NetMeeting COM the system realizes the functionality of remote real-time synergetic military plotting .

分析了以NURBS为代表的参数曲线表达方式在数控加工应用中的不足，借鉴了生物基于基因控制的生长模式，提出了基于规则控制的平面曲线描述方法，即以步长和转角来描述曲线。

This paper analyzes the limitations of the parametric curve expressions represented by NURBS curves in the application to NC machining . It draws on the model that organisms grow on the basis of gene control . A plane curve description method based on the control by rules is presented .

曲线插值问题是CAGD中一类基本问题，对于参数曲线，实际应用中不但要求插值一个有序点列，而且要插值这些点处的若干阶导数。

The interpolation of curves is a basic class of problems in CAGD . For parametric curves , in practical applications , it is required not only to interpolate a sequence of points , but also to interpolate multi-order derivative of these points .

关于离散参数曲线网上曲率的一种刻画

A kind of definition of curvatures on discrete parametric curves net

显参数曲线的实用圆弧逼近算法

A practical algorithm for approximating explicit parameter curve with circular arcs

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 .