边界曲线

In Chapter two, based on the result of Wang, we elaborate properties of boundary of interval Bézier curves and interval Bézier surfaces.

在第二章里，基于王国瑾([50])一文的结论，对区间Bézier曲线和曲面的边界进行了更细致的刻划。

In this research a new mathematical model - cubic polynom with two given derivatives at end points - was proposed which can good match the S-shpae curve.This model has a number of analytical features:describing the geographic phinomena prosesses in three hierarchies (textural fractal,structural fractal and state fractal); the boundary values of the structural fractal can be considered as the boundary values of interval of scaleless.

在研究中提出了扩展分维表达函数：带导数三次多项式，它能很好地表达反S形分布曲线，具有一系列解析特征：可从三个层次（纹理分形、结构分形和态势分形）上描述地理现象或过程；其中结构分形的边界可近似地看作是非扩展分维无标度区的上下界。

In this thesis the one-dimensional STC scheme and the two-dimensional STC scheme in both Cartesian and general coordinates are constructed. The initial condition and boundary conditions are also discussed.

本文发展了一维STC格式、直角座标系和任意曲线座标系下的二维STC格式，并对STC格式特殊的初始条件和边界条件进行了探讨。

It is the basis for studying the other characteristic parameter of popp...

本文用有限元方法建立了锥阀式结构的数学模型，给出了研究区域的边界条件，得到了锥阀工作过程中的有限元数值解，得到了锥阀工作过程中流体在阀内部的流函数曲线分布，并为研究锥阀的其它特性参数奠定了基础

With the result of analyzing the Greedy Algorithm, an local area encrgy term is defined and added to the target function for capturing the image feature in a wider region and guiding the deforming curve into the concave regions.

传统的参数活动轮廓模型分割图像时，要求初始轮廓线设置在感兴趣区域的边界附近，曲线在变形过程中难以分割深度凹陷区域。

The PSE in the curve coordinate systems are solved by the numerical techniques developed efficiently in this paper. A normal transform is introduced, and there are enough much grids in the region between the critical layer and the wall, where the variation of the disturbance is the quickest. The finite-difference of governing equations with fourth-order accuracy in the normal direction is utilized in full regions including points close the wall, and is very important for accurately discreting equations.

对于曲线坐标系下的抛物化稳定性方程，文中发展了求解的高效数值方法：引进法向变换，使得在临界层与壁面之间的扰动量变化最快的区域有更多的法向网格点；导出包含边界邻域在内的完全四阶精度的法向有限差分格式，这对方程精确离散至关重要；采用全局法和局部法相结合的方法及其新的迭代公式，大大加速收敛并得到更精确的特征值。

The minimal surface have been extensively employed in many areas such as architecture, material science, aviation, ship manufacture, biology and crystallogeny and so on. In this paper we have some element works on minimal surface from the point view of CAGD It is well-known that there does not exist any other quadratic minimal surface except for the plane.

以肥皂膜问题为物理背景的极小曲面问题或者Plateau问题—寻找以给定空间曲线为边界的面积极小的曲面，从18世纪提出到现在一直是微分几何和偏微分方程理论的重要课题，微分几何领域已经有了极其丰富的极小曲面理论。

Based on application of 3D body-fitted numerical grid with a curvilinear coordinates system and the theories about turbulent flow and the laminar flow, the new techniques that the independent variables were expressed by co-variable velocities were applied to solve the problems about flow around a high-speed car body for the first time.

采用当今数值新技术，较为全面和深入地研究了高速汽车车身绕流问题。本文依据k-ε双方程湍流模型和附面层理论，采用先进的曲线坐标系下的贴体与边界正交数值网格技术，首次把以协变速度分量作为独立变量的数值技术运用于汽车车身绕流问题的求解。

A simple way is used to approximate the curvilinear metal boundary of circular groove guide.

用一种简单方法来近似圆形槽波导的曲线金属边界。

In this method, not only the curves of edge and skeleton can be obtained at the same time, but also the cost of calculation is decreased through improving the calculation of curvilinear structure strength map.

该方法能同时得到物体的边界和骨架，改进了曲线结构强度图的计算，减少了计算量。

In the United States, chronic alcoholism and hepatitis C are the most common ones.

在美国，慢性酒精中毒，肝炎是最常见的。

If you have any questions, you can contact me anytime.

如果有任何问题，你可以随时联系我。