平面

In the system, a 2D motion model is established on the image plane of the static camera to predict the position of the object by Kalman filter, then by using homography relation, the predicted position of object can be obtained on the image plane of the dynamic camera.

系统在静态摄像机的图像平面上建立目标的2D运动模型，采用卡尔曼滤波实现目标位置的预测，由单应性关系求出动态摄像机图像平面上对应目标的预测位置，然后计算摄像机动态平台的旋转角度，实现对动态平台的伺服控制。

Then by using homography relation, the prediction of the object position can be obtained on the image plane of the dynamic camera. Finally, after calculating the rotation angle of the dynamic camera plate, we can implement the servo control of the dynamic camera. We also discuss the technical problems of the error compensations of the system.

系统在静态摄像机的图像平面上建立目标的2D运动模型，采用卡尔曼滤波实现目标运动位置的预测，然后再利用单应性关系，得到在动态摄像机图像平面上对应目标的位置预测，计算动态摄像机平台所要旋转的角度，实现对该摄像机的运动控制，同时也讨论了系统的误差补偿等技术问题。

In this thesis, we implement a real-time pointing system which, unlike ordinary 3D reconstruction approaches, uses homography and some known 3D reference planes to reconstruct the target point without using camera's intrinsic parameters and orientation. The basic concept is quite intuitive and easy to realize.

本论文中实作了一个即时的指向系统，不同於其他相关的研究中使用传统三维重建的方法来找出指向点，我们没有使用到相机的内部参数以及朝向等资讯，而是利用平面投影转换以及一些三维空间内的平面关系作为系统实作的基础，概念上较为直觉而且也相对地容易理解。

With the help of .NET platform, C# Language is used in secondary development of AutoCAD. That is to realize automatic skeletonizing of highway horizontal alignment giving the coordinates of beginning point and ending point as well as crossing point′s basic information. The research fruit can be applied in the software of plane curve.

在。NET平台下，采用C#语言进行AutoCAD二次开发，即在给定路线起终点坐标与交点基本信息的基础上实现路线平面线形的自动绘制，此研究成果完全可以被平面曲线设计软件所利用。

First, in the horizontal positioning accuracy aspect of total-station instrument, point out the importance of direction, distance to correct calculation and coordinates to convert, give coordinates calculated formula of single intersection point of non-symmetry type of horizontal curve, deduce to square–error's calculated formula of horizontal coordinates and point space by polar coordinates positioning methods, and analyze the main influence factor of square–error.

首先，在全站仪的平面定位精度方面，指出方向、距离归化计算和坐标转换的重要性，给出单交点非对称型平曲线坐标的计算公式，导出极坐标定位法平面坐标和点位中误差的计算公式，并分析中误差的主要影响因素。

There are two horns in the horizontal plane, and two in the vertical plane.

有两个角的平面和两个垂直平面。

There are two horns in the horizontal plane, and two staggered in the vertical plane.

有两个角的平面和两个交错的垂直平面。

By using the theories of conservation of momentum,conservation of energy and hydrokinetics,a mathematical model for describing the relationship among the fluid parameters,the formation parameters and the vibrant operation parameters was established.The analytic solutions of one-dimensional and radial transfusion equation for compressive and single-phase fluid flow through the compressive formation were obtained.The effects of each parameter on the vibrant operation were also gotten.On the basis of the above results,the computation models were established.

应用动量守恒、能量守恒、流体动力学等基本原理，建立了地层参数、流体参数和振动作业参数之间相互耦合的数学模型，求出了单相微可压缩流体在可压缩地层中的平面一维和平面径向渗流方程的解析解，得到了各项参数与振动作业效果之间的关系，为振动采油的数值模拟提供了初始压力分布表达式。

This can be a least-squares plane or a plane passing through the center of gravity of the corners and is parallel to the mid-rulings of the hyperbolic paraboloid determined by the corners.

这可以是一个最小平方平面或者是一个通过拐角的重心并且平行于由拐点决定的双曲线抛物面的半轴的平面。

Indeed, the reader who is slightly familiar with tessellations of the sphere, the Eaclidean plane and the hyperbolic plane, can easily prove the following result

事实上，稍微熟悉球面、欧几里得平面和双曲平面的分格的读者，都能容易地证明出下面的结果。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。