有理曲线

With this approach,the selection of weights and the estimation of approximation order simply depend on a parameter w.

该法适用于任意次数的有理Bezier曲线/面、任意的控制多边形/网格，权因子的选择和逼近度的估计都只依赖于一个参数w。

In fact,this rational quartic spline is the successful generalization of quartic polynomial spline.

事实上，这种有理插值样条曲线是C~2连续的四次多项式样条的成功推广。

This dissertation proves the smooth convergence property of degree elevation for this kind of rational Bezier curve as well.

本文也证明了这类有理Bézier曲线的光滑升阶收敛性。

Computer application ; curve design ; rational interpolation ; cubic spline

计算机应用；曲线设计；有理插值；三次样条

Our study shows that it is a good choice to apply generalized rational parametric curve to interpolate and fit unorganized data, because it provides higher numerical stability by appropriately adjusting the support of basis functions.

最后应用广义有理参数曲线对散乱数据进行插值拟合，它可以通过调整基函数的支撑域来优化方程的系数矩阵，因此提供了更高的数值稳定性。

Iterative relationship between parameters of two adjacent interpolation points on a Non-Uniform Rational B Spline curve is obtained based on Taylor formula.

基于Taylor公式得到了非均匀有理B样条曲线上两个相邻插补点参数间的递推关系。

A new method for planar curves has been developed. Curvature signal is decomposed with wavelet at first, and then select interpolative dots by altering pace, which is used to construct a G2 continuous rational cubic Bezier spline curve.

给出了一种先对初始曲率进行小波分解，再用变步长的方法选取待插值点，最后利用C^2连续的三次有理Bezier样条插值重建出光顺的平面曲线的方法。

With regard to the accuracy and smoothness of a set of discrete data points approximation, this paper gave a whole fairing and approximation algorithm of cubic Non-Uniform Rational B-Spline curve.

针对离散数据点序列的拟和精度及光顺度问题，提出了一种三次非均匀有理B样条曲线整体光顺逼近算法。

Furthermore, a method is also given to determine projecting image of the first derivative vectors on a sphere under the stereographic projection.

然后，逆投影回球面得到一条球面有理插值PH曲线。

Its accomplishment is simple and intuitional. The main innovation of this method is that we only need construct a symmetric zonal mesh for each interpolated curve respectively and write appropriate knot spacings for mesh edges. Then applying NURCC rules to the initial control polygonal mesh consisting of those symmetric zonal meshes can generate a surface that satisfies interpolation constrains.

该方法的主要创新思想是在被插值曲线的控制多边形两侧构造具有简单对称性质的四边形网格，称为对称网格带，但关键还在于对网格边赋予适当的节点距，并对由这些对称网格带组成的初始控制网格应用非均匀有理Catmull-Clark细分规则，来生成满足插值要求的曲面。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。