曲线图形

In the first Chapter of this thesis, after a short review of the role of solid modellers in CAD and CAM, we explain the importance of robustness for curved or surfaced solid models.

本文将系统地研究区间曲线与曲面的逼近问题，对这些问题的研究，在计算机图形学和机械产品CAD中具有一定的理论价值和良好的应用前景。

In geographical information drawing, there are many random curves, like boundary lines, reivers, coasts and roads, etc.

地理信息图示中的很多图形要素均是随机曲线，如边界线、河流、海岸、道路等。

Explain how to draw the experimental curves. The advantage of using figure to expression experimental data is clearly,easy to compare, and easy to see the extreme value point and turning point, periodic rate and other properties in the data.

问题补充：说明如何绘制实验曲线实验数据用图形表示的优点是直观清晰，便于比较，容易看出数据中的极值点、转折点、周期性变化率以及其它特性。

Traditionally ellipsoids and hyperboloids are modeled as implicit surfaces or through the use of rational surface schemes. The existing methods for generating spheres or quadrics have shortcoming such as the rational parameterizations for these surfaces are non-uniform, the resulting scheme cannot represent these surfaces in their natural acr-length parameterization and the implementation of the scheme is complex.

长久以来，Subdivision方法对一些看似简单却又在计算机图形学中有着重要作用的曲线曲面的造型非常困难，即使是对简单的圆和球的生成也很困难，已有的一些生成球或二次曲面的Subdivision方法一般都有太复杂、不能自然弧长参数化或者计算量太大等缺点。

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。