有理曲线

The algorithm of segment rational quadratic B-spline interpolation to algebraic curve is discussed in details.

重点讨论了代数曲线参数化的分段有理二次B样条插值算法。

The algorithm of segment rational quadratic B-spline approximation to algebraic curve was discussed in detail.

详细地讨论了代数曲线的分段有理二次B样条逼近算法。

Based on the proper segmentation of algebraic curves, the rational Bézier interpolation on "Seed Points" to algebraic curve segments is given.

基于代数曲线的合理分割，提出了曲线段的"种子点"有理Bézier插值方法。

We present two methods for generating a segment of circular arc by the vector valued continued fractions. Based on this method we construct a parametric rational arc spline that is GC〓 continuity. By adjusting the given tangent vector, this parametric rational arc spline also has convexity preserving property and monotonicity preserving property.

本文利用向量连分式给出了两种快速生成圆弧的新方法；在此基础上，本文还构造了一种GC〓连续的可调参数有理圆弧样条，在实际操作中，通过调整一侧端点的切向量，可使上述圆弧样条曲线保凸，保单调。

This work gives an algorithm to simplify the rational curves in this situation. After the approximate proper index is defined, it is computed by solving the semi-algebra system. The greatest common divisor is obtained according to the computing process of approximate proper index.

为此，讨论了这类有误差的有理参数曲线，定义了近似非恰当参数形式和近似非恰当指数，并通过半代数系统计算近似非恰当指数；在给出近似非恰当指数的同时，得到近似最大公因子。

An exact solution for rational interpolation and a method for the creation of complete NURBS curve are given in this paper.

文中给出了一种有理插值精确求解以及完整NURBS曲线生成的方法。

We present two novel schemes of the interpolatory volumetric subdivision over the hexahedron lattice.

我们基于多元B形式曲面及B网表示的方法，通过对L及W曲线性质的讨论，证明了三变量的B样条曲面是多元B形式中的曲面，并进一步证明和讨论了多元B形式中的有理W曲面及其相关性质。

By means of homogeneous coordinates, a type of important subdivision—Rational Matrix Subdivision are proposed in chapter 2. Many good geometric properties of the curves with Rational Matrix Subdivision such as convex and variation diminishing properties are proved.

第二章以齐次坐标为工具，提出了一类重要的细分法——有理矩阵细分方法，并证明了其生成曲线的优良性质，例如凸包性、变差缩减性等（参见第二章§2.3节）。

Rational fraction, rational base function and homogeneous coordinate.

NURBS曲线方程具有三种等价形式：有理分式表示、有理基函数表示和齐次坐标表示。

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。

I'm strongly against the death penalty — it's an eye for an eye.

我不赞成死刑——这是以牙还牙的报复行为。

And to get you the support you need, we're enlisting all elements of our national power: our diplomacy and development, our economic might and our moral suasion, so that you and the rest of our military do not bear the burden of our security alone.

并给你们所须的支援，我们正徵召国家所有各种的力量：我们的外交及发展，我们的经济力量与道德劝说，所以你们与其他军人不须要孤独地负起国家安全的责任。