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Two new approaches are proposed for a polynomial approximation of Bezier offset curves.

提出了Bezier曲线等距线的两种多项式逼近新思路。

Firstly, based on the method of pressure-velocity coupling introduced by SIMPLE algorithm and a revised method of solving the unsteady equation of stream function and vorticity on uniform grid, a special algorithm called primitive-variable-time-dependent approach is formed in the present study. In this algorithm the Navier-Stokes equation in primitive variable form is solved by using the time-dependent approach on non-uniform staggered grid system. The second-order accuracy finite difference is used for the first and second partial derivatives of all variables of the convective terms and diffusion terms.

首先,本文在SIMPLE算法系列处理速度与压力耦合问题的思路和均匀网格下改进的关于流函数涡量方程的数值求解方法的基础上,将非定常原始变量Navier-Stokes方程的求解推广至非等距交错网格剖分,形成了具有本文特色的原始变量时间推进方法,其中对流项和扩散项中各变量的各阶导数均采用二阶精度公式,包括温度在内的离散方程组采用ADI迭代方法求解。

Among probability sampling methods, what kinds of research conditions are more appropriate for each sampling method

什麼样的情况下,适合用机率抽样方法简单随机抽样有4种方法:1。简单随机抽样2。分层随机抽样3。系统抽样等距抽样

"MingLiU" is fixed-width font. Every alphabetial char is the same width."PMingLiU" is proportional font.

细明体为等距字,每个英文字母大小相同,新细明体为比例字。

Especially, an explicit representation of quintic PB curves is established and the sufficient and necessary algebraic characterization of quintic PB curves is presented.

对于n次PB曲线,得到了以(2n-1)次有理曲线精确表示的等距线和多项式形式的弧长表达式。

Introduced is a kind of space uniform rational spline curve, which possesses tension parameters and is based on hyperbolic spline functions.

引入了基于双曲样条函数的、具有张力参数的空间有理等距节点样条参数曲线,给出了这种曲线在每个样条子区间上为挠曲线段的充分必要条件;分析了这种挠曲线段没有尖点、重结点和泛拐点的特性;因而在用于空间曲线几何造型时可避免奇异性。

If the method is combined with the subdivision method of curve,the rational spline curve with higher-order continuity is presented which is the approximation of offset curve.

该方法与离散算法相结合,可得到等距曲线的高阶连续的有理样条逼近曲线,最后,通过数值实例与已有方法作了比较。

Based on this definition, the curvature、regular and integral properties of the general offset curve are discussed. As a result, J.steiners celebrated theorem of the oval is developed.

并在此基础上做相应的讨论,研究其正则性、曲率和积分性质,推广了J.steiner关于卵形线的外等距线所围面积的一个著名定理。

According to the fine structures of reproducing kernels, the characterization of the image space in the wavelets transform and the isometric identities formulas are given by the perfect theory of reproducing kernel space.

根据再生核的这种较好的结构,利用较完善的再生核空间理论给出了小波变换像空间的描述及等距恒等式。

In chapter 2 we recall the basic facts about Riemannian manifold and some notions of the transform theory on Riemannian manifolds.

首先,利用给定流形的向量丛上联络的存在性给出流形上的不可积分布上非完整联络的存在性证明,进而证明了次黎曼联络的存在唯一性,并以此为出发点研究了次黎曼流形中仿射变换、等距变换、共形变换和射影变换下的一些不变性质,给出了相应变换下的一些不变量。

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