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In this paper,the author obtains some features of Bertrand curves such as that necessary and sufficient conditions for a Bertrand curve is curve,discusses the distance from a point of a Bertrand curve to the corresponding point of the mate of Γ,the angle of the two tangent lines and so on.

讨论了Bertrand曲线的特征,得出了诸如曲线是Bertrand曲线的充要条件,Bertrand曲线Γ上的点与其偶线上对应点的距离,以及两点切线交角等结论。

Let be the center of Curvature at.

设已知曲线的方程是,且其二阶导数在点不为0,则曲线在对应点的曲率中心的坐标为

Corresponding points refers to two points or particle s that have completed identical fractions of their periodic motion.

对应点」是指处于相同相位的点,即完成了一个整周期运动的两点。

Corresponding points refers to two points or particles that have completed identical fraction s of their periodic motion.

对应点」是指处于相同相位的点,即完成了一个整周期运动的两点。

Corresponding points refers to two points or particles that have completed identical fractions of their periodic motion.

对应点」是指处于相同相位的点,即完成了一个整周期运动的两点。

Points in the physical plane are mapped onto corresponding points in the hodograph plane.

物理平面上的点被映射到速端曲线平面上的对应点

In this approach, a homography matrix between the ground plane and the image plane is obtained by least square.

它首先利用地平面与图像中的对应点建立一个对应矩阵(homogra-phy),然后利用已知的摄像机高度以及地面上垂线在图像中的投影等约束信息来求取摄像机的参数。

This paper presents a new rendering algorithm by the contrast between the Flat method, Gouraud method and Phong method, through which the color of each pixel can be figured out under the lighting model after the coordinates and normal of every corresponding point on the 3D-object surface have been calculated from the pixels in the range where the 3D-object is projected onto the photo, in order to provide each pixel a real color and get an image with strongest feeling of reality.

本文在对比研究了真实感图形生成中传统的Flat,Gouraud,Phong等明暗渲染方法后,提出了一种新的明暗渲染方法。在图像平面三维物体的投影范围内,由图像的像素坐标求出物体模型对应点的三维坐标及其法矢,然后对每个像素点根据光照模型来计算其明暗度。这种方法能够最大可能的保证图像中每一像素点明暗度的真实性,从而使所生成的真实感图像更加逼真。

In view of the inclining error in installing to the work-piece in lapping, an analytic method for profile error is presented, new and old rectangular coordinates are established, and error model of work-piece between its actual and ideal curve is deduced through coordinate transform.

针对研磨中工件的安装倾斜误差,提出了导致工件面形误差的分析方法,建立新、原坐标系,应用坐标变换,推导出工件曲线上各点相对理想曲线对应点的误差模型。

The major contribution of this dissertation is as follows:1 according to the format of laser scanning data, suggest the method that search the corresponding point in known vicinage region , seeks new nearly corresponding point, accelerates register speed.

本方的主要贡献如下: 1 针对激光扫描数据的格式,提出了在已知对应点的邻域内进行局部搜索,查找新的最近点对的方法,加快配准速度。

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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。

When I was in school, the rabbi explained everythingin the Bible two different ways.

当我上学的时候,老师解释《圣经》用两种不同的方法。