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According to the stability of vanishing points of the projected lines on the image of a group of lines at infinity,the algorithms for camera calibration and indoor visual navigation of the autonomous mobile platform based on parallel s are proposed.

根据一组空间直线上的无穷远线素集在视平面上所形成的消失点对直线的平移具有稳定性的特点,提出了基于平行线的摄像机参数标定和自主移动平台室内视觉导航算法。

According to the stability of vanishing points of the projected lines on the image of a group of lines at infinity, the algorithms for camera calibration and indoor visual navigation of the autonomous mobile platform based on parallels are proposed.

根据一组空间直线上的无穷远线素集在视平面上所形成的消失点对直线的平移具有稳定性的特点,提出了基于平行线的摄像机参数标定和自主移动平台室内视觉导航算法。

Inthe paper, we study the relation of pairs of lines and pairs of needles, and two results ofintegral formulas are gained. Thus, the geometric probability problem is solved. Also.we give a solution to the problem: pick two points randomly in a convex body K anddraw two lines passing through two points.

文章考虑了线偶与针偶的依附关系,得到了两个积分公式的结果,从而解决了这一问题,并得到了随机地在凸体K内任取两点,通过这两点任意投掷两直线,两直线的交点落入凸体K内的概率及其它的一些结果和推论。

So we mention another geometricprobability problem which is the geometric probability of the intersection of pairs ofintersecting lines belonzs to convex body K in R~2 by using the concept of doublechord-power integrals and a kinematic invariant density formula for pairs of lines.

利用R~2上双弦幂积分的概念和线偶的运动不变密度公式,提出了另一个几何概率问题:R~2上两根与凸体K相交的小针依附在两直线上,求两直线的交点落入凸体K内的几何概率。

The chord is closed by drawing a line from the intersection of the first radial and the curve to the intersection of the second radial and the curve.

在第一个径向线和曲线的交点与第二个径向线和曲线的交点之间画一条直线得到的就是一个弦。

The forward results show that the surface response is different when using vertical line source and slant source for the same model. we shouldn't consider slant well as vertical line source in practical application.

正演结果表明相同模型使用倾斜线源和直线源其地表响应有较大的差别,实际应用中不能将井斜较大的井当作垂直线源,而应以倾斜线源处理。

By rotating the X-axis of the measurement coordinates, the straightness data of each generatrix are transformed into a unified 3D coordinate system whose Z-axis superposes the least square mean axis calculated with the data of the multiple generatrices. The computer simulations and experiments prove that the construction by rotating the abscissas can effectively eliminate the distortion of the constructed profile.

通过测量坐标系中X轴的旋转,将各条母线直线度偏差数据统一到同一个空间坐标系中,采用两端面圆的最小二乘轴心的连线作为零件轴线,消除了直接构造所带来的表面变形,并能进一步计算出被测内孔的直径、圆度和轴线直线度误差,使测量系统集成化和多功能化。

The classical theorists resemble Euclidean geometers in a non-Euclidean world who, discovering that in experience straight lines apparently parallel often meet, rebuke the lines for not keeping straight--as the only remedy for the unfortunate collisions which are occurring.

古典学派的理论家们很像置身于非欧几何世界中的欧几里德几何学家们,一旦发现在日常经验中两条显然平行的直线经常会相交,他们就会指责说线没有保持平直——这被看作是解决两条线发生不幸冲撞的唯一办法。

When a round object rolls along a straight line, a track on the round edge is called roulette or cycloid.

当一个圆沿着一条直线滚动时,圆边上一点的轨迹叫做旋轮线或摆线。

When a round object rolls along a straight line, a track on the round edge is called a roulette or a cycloid.

当一个圆沿着一条直线滚动时,圆边上一点的轨迹叫做旋轮线或摆线。

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