投影矩阵

From the point on coefficient matrix of the sets of projection equations and in a broad sense axonometric projection ,the research and summarization of the development of projection theory this two centuries has been done.

从投影方程组系数矩阵及广义轴测投影分析入手，对两个多世纪以来的投影理论发展总结评述；通过数学分析，得出计算机绘图优于手工绘制轴测图的理论依据，证明计算机绘图不仅工具方便，且理论上更具有先进性

Keywords Closed convex cone;gradient projection method;Least-squares solution;Inverse matrix problem;Inverse eigenvalue problem;Matrix completion problem;Optimal approximation

Article From 湖南大学；应用数学博士论文 2005年度闭凸锥；投影梯度法；最小二乘解；矩阵反问题；矩阵逆特征值问题；矩阵完全化；最佳逼近

Based on the former chapter, one method based on fundamental matrix and crossrate is proposed in this chapter to render novel image considering the character of fundamental and cross-rate invariant in the perspective project, which utilized the correspondence relationship between the given two images and projective invariant between images to render novel image.

该方法通过将基本矩阵的稳定性求解问题转化为一个有条件的极值求解问题，结合遗传算法良好的全局寻优特点，将该方法很好地引入到基本矩阵的求解中，并取得了良好的实验结果。（5）第五章在上一章的基础上，综合基本矩阵和透视投影中的交比不变性的特点，提出了一种基于基本矩阵和交比的生成新图象的方法，这种利用已知两幅图象之间存在的匹配关系和新图象和已知图象存在的透视不变量，来生成新图象。

To solve the problem, a pre-classification algorithm of measured data is introduced and a new algorithm is developed to divide unmeasured data into determinable and indeterminable data, using matrix projection algorithm.

采用已测数据预分类的方法，对其进行了修正。在此基础上，将矩阵投影算法引入到了未测数据分类中，提出了基于矩阵投影算法的未测数据分类算法。

Firstly, we discuss the characterization of eigenprojections at zero of thegeneralized Drazin invertible operator on Banach space. By using the techniqueof block operator matrices, we extend the results that the characterization of eigen-projections at zero of matrices to operators in B.

中文摘要我们首先讨论了广义Drazin可逆算子在0点的特征投影的刻画，利用算子矩阵分快的技巧将关于矩阵在0点特征投影的刻画的一些结果推广到了Banach空间上。

The projected texture can be visualized as laying on the surface of the near plane of the oriented projection defined by the modelview and projection parts to the transform.

投影纹理则可以被想象成安放在投影方向的近平面上，这个投影就是由模型/视图和投影变换矩阵定义的。

When used in the texture matrix, the coordinates are s, t, and r instead. The projected texture can be visualized as laying on the surface of the near plane of the oriented projection defined by the modelview and projection parts to the transform.

投影纹理则能够被想象成安放在投影方向的近平面上，这个投影就是由模型/视图和投影变换矩阵定义的。

And three main steps of all subspace algorithms are explored. First, using an LQ-decomposition, the projection of the row space of specific data Hankel matrices is calculated. Next, the SV-decomposition of the projection is calculated to directly lead to the observability matrices and a Kalman filter estimation of the state sequences.

概括了子空间辨识算法的三个主要运算步骤：首先由LQ分解计算特定Hankel矩阵的行空间投影；再对该投影进行SVD，获取系统的可观测矩阵及状态序列的Kalman滤波器估计；最后由可观测矩阵和／或估计的状态序列确定系统矩阵。

And three main steps of all subspace algorithms are explored. First, using an LQ-decomposition, the projection of the row space of specific data Hankel matrices is calculated. Next, the SV-decomposition of the projection is calculated to directly lead to the observability matrices and a Kalman filter estimation of the state sequences. Last, the system matrices are extracted from the observability matrices and/or the estimated state sequences.

概括了子空间辨识算法的三个主要运算步骤：首先由LQ分解计算特定Hankel矩阵的行空间投影；再对该投影进行SVD，获取系统的可观测矩阵及状态序列的Kalman滤波器估计；最后由可观测矩阵和／或估计的状态序列确定系统矩阵。

In this method the initial values of perspective projective matrix; rotative matrix and translative matrix are calculated from the fundamental matrix, than these matrices are optimized based on the coordinate value of corresponding points.

该方法从基本矩阵计算初始透视投影、旋转和竖直平移变换矩阵，然后以对应点坐标为基础对这些变换矩阵进行优化计算，从而有效地避免了优化计算的局部最小值，而且不过分依赖基本矩阵的计算精度。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。