查询词典 conjugate points

Two pairs of vanishing points of orthogonal directions from each image are obtained by using the concept of cross ratio and harmonic conjugate in projective geometry and the orthogonal property of the two diagonals on a square. All intrinsic parameters are calculated linearly after capturing the template from at least three shooting angles. Errors of edge detection and line fitting are avoided because the method does not require image matching.

充分利用了射影几何中交比和调和共轭的知识以及正方形模板对角线相互垂直的性质，根据一幅模板图像可以得到两组相互正交的消失点连线，在至少三个不同方向拍摄的图像上线性求解出摄像机的所有内部参数。

The parametric optimization model is established on the basis of explicit least square error, and the parameters of digital points are optimized by subspace interior reflective conjugate gradient method.

建立了基于显式的最小二乘重构误差的参数优化模型，运用子空间共轭梯度内部反射牛顿优化技术实现了大规模数据点的参数优化。

The main results are:(1) the L1 boundedness of the Cesaro means operator of the harmonic expansions on the unit sphere with reflection-invariant measures is proved, and the characterization of the convergence index is given; for the points not in the planes with singularities, the pointwise convergence is also proved; these results are the generalizations of those both for the classical spherical harmonic expansions and for the Jacobi expansions;(2) Using the differential-reflection operators of Dunkl type, the uncertainty principle of a class of Sturm-Liouville operators is established, and as consequences, the uncertainty principles of some well-known classical orthogonal expansions such as Jacobi, Hermite and Laguerre expansions are obtained;(3) by introducing the Cauchy-Riemann equations in terms of the differential-reflection operators of two variables, the harmonic analysis of the extended Jacobi expansions is studied; the results include the Lp boundedness and the weak-L1 boundedness of the conjugate extended Jacobi expansions; specially, for some indexes p smaller than 1, the basic theory of the related Hardy spaces is established.

主要成果有：（1）证明了带有反射不变测度的球面调和展开蔡沙罗平均算子的L1有界性，给出了收敛指标的特征刻划，对不在奇性平面上的点，还证明了点态收敛性，这些成果同时推广了经典球面调和展开和雅可比展开的结果；（2）利用Dunkl型的微分-反射算子建立了一类斯特姆-刘威尔算子的测不准原理，并由此得到一些著名的经典正交展开如雅克比展开、赫米特展开和拉盖尔展开的测不准原理；（3）利用由两个变量的微分-反射算子定义的柯西-黎曼方程组来研究扩展雅克比展开的调和分析，证明了共轭扩展雅克比展开的Lp有界性和弱L1有界性，特别是对小于1的一些指标p，建立了相应的哈代空间的基本理论。

This paper researches the wavelet transform of discrete-time sequences basing on dendriform filer banks in the signal processing field, analyses the theory and design method of two channel conjugate quadrature mirror filter banks and fast implement of discrete orthogonal wavelet transform and generation of orthogonal wavelets, and points out the internal relationship between them.

笔者从信号处理的角度研究了离散时间序列的小波变换利用树状滤波器组实现的方法，分析了两通道共轭正交镜象滤波器组理论及滤波器设计，离散时间序列的正交小波变换的快速实现以及正交小波的构造，指出了其内在联系，最后举例说明了正交小波变换通过共轭正交镜象滤波器组来实现信号分解和重构的全过程。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。