投影线

An attacking mode of deflected bomb dropping was proposed based on its properties, i.e., there is an angle between the projection of the velocity and the projection of line-of-sight in the horizontal plane.

激光制导炸弹是一种无动力可控武器，根据这种特性，提出了偏转投弹的作战方式，即投弹时炸弹的速度在水平面的投影与弹目线在水平面内的投影存在一个夹角。

The common method for obtaining the angle of the plane figure to projection plane is through the right-angled triangle method after getting the double-face projection of the plane figure on the basis of the conception of maximum oblique line.

求平面图形对投影面的倾角，通常需要知道平面图形的两面投影，利用最大斜度线的概念，通过直角三角形法求得。

A vertical profile of the 3D wellbore trajectory is generally.The challenge is how to draw the actual wellbore trajectory on the vertical profile of planned well trajectory.A planned 3D well path profile is depicted using vertical depth and projection length,however,the actual wellpath profile is supposed to be drawn using vertical depth and apparent projection length.

三维井眼一般都绘制垂直剖面图，其难点就是怎样在设计井眼轨道的垂直剖面图上描绘实钻井眼轨迹的剖面线，由于三维井眼设计剖面图是用垂深与投影长度绘制，其实钻井眼轨迹剖面图应该是用垂深和视投影长度绘制。

In order to reduce the effect of imaging recognition error, the recognition location of projection is extended and refined, and the projection edge of sphere centre is implanted. So a pyramid is formed by radial line between the camera optical centre and the implanted point. A curved face is formed by the two pyramids and barbette sphere. To calculate the shape centre of the common section of the curved face, the shape centre is the coordinate of sphere centre.

为了降低图像识别误差的影响，对投影的识别位置进行拓展和细化，并对球心投影边界进行插值，摄像机光心与插值点连线射线形成了一个锥体，两摄像机的锥体分别与炮台球面相交形成曲面，计算两曲面公共部分的形心，即为球心位置。

Furthermore, the first-order optimality condition and its equivalent reformulations for generalized semi-infinite max-min programming with a non-compact set are presented using the lower-Hadamard directional derivative and subdifferential.2. Chapter 3 studies the gradient-type methods for unconstrained optimization problems. Section 1 proposes a new class of three-term memory gradient methods. The global convergence property of the method is established. Furthermore, in order to improve the convergence property of the method, a new class of memory gradient projection methods is presented with the property that the whole sequence of iterates converges to a solution to the problem under the conditions such as pseudo-convexity and continuous differentiability of objective function. In section 2, two new classes of methods, called gradient-type method with perturbations and hybrid projection method with perturbations, are proposed. In these methods, non-monotone line search technique is employed, which makes them easily executed in computer.

第3章研究了无约束优化问题的梯度型算法，第1节提出了一类新的三项记忆梯度算法，讨论了算法的全局收敛性，进一步提出了一类新的具有更好收敛性质的记忆梯度投影算法，并证明了该算法在函数伪凸的情况下具有整体收敛性，第2节在非单调步长搜索下提出了带扰动项的梯度型算法及其混合投影算法，这两类算法的一个重要特征就是步长采用线搜索确定而不象许多文献中那样要求步长趋于零，这样更容易在计算机上实现，在较弱的条件下证明了这些算法的全局收敛性，数值算例表明了算法的有效性。

A human model using polynomial convolution surface is presented which is modeled by articulated skeletons convolved with some kernel function. The convolution surface and curve correspondence theorem under orthogonal projection is presented. The human contour is approximated with a convolution curve and 3D human pose can be estimated using a nonlinear optimization algorithm.

首先建立了一种新颖的多项式密度卷积曲面人体模型，该模型由连接体线骨架与某种卷积核卷积而成，整个曲面是一张连续曲面，调节多项式和半径参数可以让人体任意变形；给出了正交投影下卷积曲面和曲线对应的概念和相关定理，为二维的图像轮廓和三维人体模型之间建立对应关系；根据正交投影下卷积曲面与曲线对应定理，用卷积曲线去逼近人体的图像轮廓曲线，从而估计和恢复出三维人体运动姿态。

In chapter 2 we propose a linear equality constraint optimization question , the new algorithm is combined with the new conjugate gradient method(HS-DY conjugate gradient method)and Rosen"s gradient projection method , and has proven it"s convergence under the Wolfe line search.In chapter 3 we have combined a descent algorithm of constraint question with Rosen"s gradient projection, and proposed a linear equality constraint optimization question"s new algorithm, and proposed a combining algorithm about this algorithm, then we have proven their convergence under the Wolfe line search, and has performed the numerical experimentation.

在第三章中我们将无约束问题的一类下降算法与Rosen投影梯度法相结合，将其推广到线性等式约束最优化问题，提出了线性等式约束最优化问题的一类投影下降算法，并提出了基于这类算法的混合算法，在Wolfe线搜索下证明了这两类算法的收敛性，并通过数值试验验证了算法的有效性。

Goldschmidt s gnomonic projection,a method of comparison with line and face about the identified visibility of the crystal face on gnomonic plane is given to search hidden line of mineral crystal shape.

根据图形消隐的基本原理，针对心射极平投影的特点，使用线、面比较法在极平投影面上判断晶面的可见性，进而消除矿物晶体形态图中的隐藏线。

According to the projection space, line and plane can be divided into upward-traveling and downward-traveling. The concepts of near axial-terminal and far axial-terminal to the straight line projection is introduced. The rule of the visibility of line and plane intersection is deduced.

将直线和平面按其在投影空间的位置，分为上行和下行两类，对直线的投影引入近轴端和远轴端的概念，有助于对线面相交空间位置的理解，而且使直线与平面相交可见性的规律更加清晰和直观。

Based on predeterminate knowledge of VLP and wavelet nulti-scale analysis feature, segmentation position is located self-adaptively.3 character feature extraction.

根据车牌的先验知识，利用小波变换自动变焦、多尺度分析的特点，对传统的垂直投影法及多线垂直投影法进行滤波，自适应搜索分割点，高效地进行了车牌字符分割。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。