投影矩阵

An image conic can be the projection of either a planar conic or silhouette of a conicoid. We show that at least three images, taken from the same position with different camera orientations, of two planar conics, or two conicoids, or one conic and one conicoid, are needed for the calibration, and a closed-form solution can be obtained. Our new conic based calibration technique requires no knowledge of camera's orientations, and relies solely on image correspondences.

在不同的方位拍摄三幅或三幅以上图像，每幅图像至少包含两个空间平面二次曲线、或两个二次曲面、或一个平面二次曲线与一个二次曲面的投影，利用图像之间的二次曲线对应关系，可以确定摄像机的内参数矩阵，同时可以获得摄像机不同方位之间的旋转矩阵。

The algorithm consists of a least-squares part providing an analytica l initial solution,and a projection part that projects the initial least-square s solution successively onto each equality constraint.

该算法有两个显著特点：一是目标函数的Hessian矩阵不要求正定；二是由于采用平方根因子分解来计算增广Hessian矩阵及投影算子矩阵，算法具有很好的数字稳定性。

Then with the use of general inverse and matrix projection theorem,a new parameter with good identification effect is deduced,which is called projection modulus of residual vector ,and with which the damaged element is easily identi.

为了找到一个对小损伤较敏感的参数，在结构自由振动微分方程基础上，结合损伤结构的测试数据(用有限元模型的计算结果来模拟)，得到残余向量，利用广义逆和矩阵投影定理，导出了一个具有很好识别效果的参数：残余向量投影范数。

Different from the traditional approach of solving GDA by singular value decomposition,the new algorithm utilizes kernel modified Gram-Schmidt orthogonalization algorithm to extract the optimal transformation matrix directly,which can not only effectively hold the most discriminant information in the null space of within-class scatter matrix,but also make the solution more stable in numeric.

与传统用奇异值分解获取目标特征子空间的方式不同，新算法运用核修正格兰-施密特正交化过程直接提取最优投影变换矩阵，不仅有效地地保留了类内散度矩阵最具辨别力的零空间信息，同时使所求解在数值上更稳定。

Based on the intrinsic nullspace property of the SVM proven by the authors, which shows that the normal vector of the SVM decision plane is of the nullspace property in terms of the support vectors-based within-class scatter matrix, a support vectors-based method is presented to construct the Kernelized Decision Boundary Feature Matrix by using the SVM normal vectors.

进一步结合均值向量的差向量构建扩展决策边界特征矩阵。最后以支持向量为训练集合，结合零空间方法来计算投影空间，该投影空间被用来从原始图像中提取判别特征。

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信息化时代，多媒体设备层出不穷，让人措手不及，无法真正去灵活运用，搭配出最佳适合用户需求的高性价比系统，SVS勇于承担这个角色，专业成就大屏幕显示系统与智能化控制系统整体方案设计及制造，SVS自始至终以大屏幕为主线，涵盖了以投影技术为基础或依托所开发、搭配或衍生的产品，包括投影机、背投电视、等离子、液晶电视、投影屏幕、视频展台、电子白板、书写屏、大屏幕拼接系统、矩阵接口、视频会议、中央控制系统及其他相关配件或零组件，公司依托一支具备"作风严禁、勇于创新、讲求实效"的高层次、高素质的技术开发、市场开拓及服务人才队伍，SVS正在惊人地快速发展，自创建以来，已经在业内取得了广泛的关注与认同，与IT媒体、配套生产商以及行业研究机构建立了良好的合作关系，始终以客户的需求为中心，帮助客户提供专项设计方案，专题讨论，立体式推广，效果监测和用户分析等各种服务，最大限度地方便客户，为客户提供解决方案，不断满足客户多样化、个性化、复合化的需要，帮助客户以最少的成本获取最大的收益。

The computational formula of the gradient matrix in subspace is obtained by applying Taylor series expansions, decomposition theorem of space and projective theorem (The gradient matrixs in different subspace are different).

利用子空间上的泰勒展式、空间分解定理以及投影定理得到了子空间上梯度矩阵的计算公式(不同的子空间，梯度矩阵是不相同的)。

Upon the conditions addressed,an improved parameter-dependent l2-l∞ performance criterion is established by the introduction of a slack variable,which exhibits a kind of decoupling between Lyapunov functions and system matrices.

同时应用投影定理，通过引入附加矩阵变量，解除了系统矩阵与依赖于参数的Lyapunov函数矩阵之间的耦合，使所得到的条件更适合于滤波器的综合。

Through grey relation estimation matrix, the threat sequencing is transformed into a MADM problem. The algorithm for the weight of each threat criteria is proposed by information entropy to reduce the effect of the extreme numerical value. Applied the grey related projection value, the treat sequencing is carried out from the aspect of vector projection. In addition, the effects of the identification coefficient and the criteria weights on threat sequencing are investigated respectively.

首先通过建立灰色关联判断矩阵将威胁排序转化为多指标决策问题；其次为缩小极端值的影响提出了基于信息熵的威胁指标权重算法；最后从矢量投影角度应用灰色关联投影值进行威胁排序；并分别研究了分辨系数和指标权重对威胁排序的影响。

It has an applicable change of the primitive image matrices, so that the dimension of the image total scatter matrix is further minified. Then, image principal component analysis is used to do image feature extraction.

该方法首先对图像矩阵进行适当的变换，用得到的新的图像矩阵构造图像总体散布矩阵后，再运用图像投影主分量分析进行特征抽取。

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。