椭圆的

Because of human's head likes an ellipse with longer vertical axis and shorter horizontal axis, we set the position to be a candidate of vertex of minor axis if the vertical projection of vertical edge is high enough in order to speed-up the template matching for ellipse detection.

首先利用Sobel边缘侦测与连续影像相减，再将两者结果交集取出前景物像素；由於头部有类似垂直轴长水平轴短之椭圆的特性，因此将垂直边缘之垂直投影量较高的位置当作椭圆短轴的可能端点，以增进用样板比对做椭圆侦测的效能。

At the point at which that line intersects the ellipse, windows begins drawing an arc in a counterclockwise direction around the circumference of the ellipse. windows also uses an imaginary line to connect with the center of the ellipse.

在这条线与椭圆相交的点，windows 开始逆时针方向环绕椭圆的周围绘制一个弧。windows 也用一条假想的线连接和椭圆的中心。

To be specific,its generalized characteristic polynomial has positive double roots,which we proved further has only a double,root by using the affine transformation and inverse affine transformation.

为了更好地进行干涉判断，根据椭圆-椭圆外切的代数条件——广义特征多项式具有正的重根，以及进一步证明出的该正重根的唯一性结论，利用仿射变换和逆变换方法，推导出了椭圆-椭圆的不适合边界解析方程。

In the fourth chapter, I analyze and contrast many architectural cases in history and modern times which ellipse were applied to, and explore the ellipse"s development in historic sense. The fifth chapter investigates the dynamic relationship between geometry and architecture based on ellipse"s geometric character, and analyzes ellipse architecture"s characters in symbolism, dualism, diversity and unity these four facets. In the sixthchapter, taking ellipse architecture as examples, I try to explore the relationship between the more general geometry"s purity and architecture"s complexity, and build the foundation for future exploration of geometry"s purity.

第四章从历史和现代两个方面展开了大量对椭圆形式在建筑中应用的个案和实例的研究与对比，探讨了椭圆形式在历史上意义的变迁；第五章以椭圆的几何特性为立足点，研究了椭圆几何--建筑之间的动态关系，从标志性，二元对立，多样和统一四个方面分析了椭圆建筑的特点；第六章以椭圆建筑为例，尝试探讨了更一般的几何的纯粹性与建筑的复杂性的关系，对几何纯粹性意义的挖掘为进一步的研究提供基础；第七章采用了类型对比的研究方法，分析了安藤忠雄和库哈斯两位设计哲学截然不同的建筑师对椭圆形式的使用；另外，以位置关系为线索，将椭圆和其他的几何形式结合起来，总结了一般情况下几何的纯粹性对建筑复杂性的作用。

Matlab ellipse paintings did not provide the function, which was oval in the center long axis of oval painting after the short axis, in which the use of complex variable function.

matlab没有提供画椭圆的函数，该函数在获得椭圆中心长轴短轴后进行画椭圆，其中使用复变函数。

Major axis of the ellipse is used to calculate other ellipse parameters fast and efficiently.

给出了一种高效的椭圆检测方法，该方法利用椭圆的长轴信息，能够快速、准确地计算出椭圆其它4个参数。

The macroprogram is written by using the elliptical parametric equation, then some actual work problem can be solved with the macroprogram.

在数控编程的实际应用中，常见的是直线插补和圆弧插补，没有椭圆插补，但在实际生产中，往往遇到许多椭圆的零件需要加工，如果手工常规编程就无法编制出椭圆的加工程序，为了解决这个问题，在数控编程中有宏程序可以做到椭圆的加工，本文按HCNC-21T系统（在其他系统只不过是宏程序的格式不同而已）对椭圆做内、外的加工编程举例，还在内椭圆的加工中先加工一个工艺孔，巧妙利用椭圆的参数方程来编写宏程序，用宏程序来解决一些实际的工作问题。

As to ellipses, a new method using RHT is proposed for ellipse detection, which uses two randomly picked points and one searched point to calculate the ellipse parameters via the polar and pole definition of ellipses.

对于椭圆，论文提出一种新的基于RHT的三点椭圆检测法，它从椭圆的极和极线定义出发，利用随机采样到的两点和搜索获得的一点来确定椭圆参数。

The curve begins at the point where the ellipse intersects the first radial and extends counterclockwise to the point where the ellipse intersects the second radial. A radial is a line segment drawn from the center of the ellipse to a specified endpoint on the ellipse.

曲线由椭圆与第一个径向线相交的点开始逆时针延伸到椭圆与第二个径向线相交的点（径向线是指从椭圆的中心向椭圆上给定的终点之间的一段连线）。

The beginning of this article gives the definition of elliptic curve, ellipse standard equation, and the long axis of oval, short, with an area of the formula of a binary quadratic equation of the circumstances under which the judge said to provide the basis of an oval, as well as the conditions in this the long axis of the ellipse, short, with an area of what is the formula?

本文开始给出了椭圆曲线的定义，椭圆的标准方程，及椭圆的长轴，短轴，面积公式，对一个二元二次方程在什么情况下表示椭圆提供了判断依据，以及在此条件下的椭圆的长轴，短轴，面积公式是什么？

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。