不变因子

Affine geometry is often assumed in model-based vision systems because fewer features are required to compute model pose uniquely under affine projection and the perspective projection.

根据三维实体的二维透视图像构造关于该实体的不变因子是一项困难的任务，也是当前将不变因子理论应用于计算机视觉的一个主要目标。

When F is an algebraically closed field char F≠2, A is similar over F to an orthogonal matrix if and only if ( 1 ) the invariant factors of A aer self-reciprocal (2) the elementary divi sors of A of the form x...

ii当F为一个代数闭域且char≠2时，F相似于一个正交矩阵的充要条件为(1)A的不变因子是自反的。(2)A的形为(X±1)~(2k)的初等因子出现偶数次。

We show a matrix A is similar to an orthogonal matrix over a field of characteristic 2 if and only if ( 1 ) the invariant factors of A are symmetic,(2) A has at least an elementary divisor of the form ( x + 1 ) m.

本文利用矩阵方程证明如下两个结果：设F为一个域char=2，在F上矩阵A相似于一个正交矩阵的充要条件为(1)A的不变因子是对称的。(2)A至少有一个形为(X十1)的初等因子。

Next produced several kind of matrices similar determinations principle, the matrix equally in value from this has similarly drawn out the elementary divisor with the characteristic matrix, invariant factor two related concepts.

其次给出了几种矩阵相似的判定法则，矩阵相似与特征矩阵等价由此引出了初等因子，不变因子两个相关概念。

Theorem factor calculated using the same order of 200% for all types of groups. and the non-abelian group of 15 bands within the structure.

本文利用不变因子定理计算确定出了200阶以内所有可换群的类型，并介绍了15阶以内非可换群的结构。

This paper analyses the influence of scale factor on moment invariant features in discrete,constructs a new moment invariant with both scale,translation and rotating invariance.

分析了在离散状态下比例因子对不变矩特征的影响，构造了一种新的不变矩，使其具有平移、旋转和比例因子的不变性。

Thirdly,we discuss the invarant factors of this kind of matrix,and obtainthe normal form of Jacobi matrix under the sense of symplectic similar.

再次，讨论这种矩阵的不变因子，得出它们若不是奇函数则必定是或偶函数。最后给出了哈氏系统Jacobi矩阵在辛变换之下的标准形。

By applying these two tools,we mainly discuss the problems as follows:1 Perturbation identities for the generalized polar decomposition:By applying singular value decomposition, we study the perturbation bounds of the generalized polar decomposition under unitary invariant norms when A is perturbed by addition or multiplication,respectively and give our bounds in identities.2 A class of new unitary invariant metrics: This paper generalized a class of new unitarily invariant metrics and give the upper-bounds and lower-bounds by C-S decomposition.

利用这两个强有力的工具，本文主要讨论了如下问题：1 矩阵广义极分解的扰动等式：利用奇异值分解，本文分别讨论了加法扰动和乘法扰动下矩阵广义极分解在任意酉不变范数下的扰动界，并首次以恒等式的形式给出了酉极因子和半正定因子的扰动界。2 一类新的酉不变度量：本文推广了文[22] 中的结论，定义了一类新的酉不变度量。

The correspondence relationship between the parameter of a point on a rational Bézier curve and its weights is given, and (n-1) factors of shape-unchanged are obtained.

同时，给出了有理n次Bézier曲线上点的参数与权因子之间的对应关系，导出了有理n次Bézer曲线的n-1个形状不变因子。

The pipelined CORDIC architecture is very suitable for FFT butterfly operation because of its high throughput and regularity, but it will consume lots of resources,this article presents an improved architecture of CORDIC pipeline,starting with the property that the FFT rotary factor is fixed but not arbitrary,and according to the mapping between the basic rotational angle of CORDIC and scale factor and the rule for transform among the scale factors.On the condition that the velocity of FFT butterfly operati...

CORDIC流水线结构因其高吞吐率及规整性，而很适合于FFT蝶形运算，但其缺点是耗资源多，本文从FFT中旋转因子固定不任意的特点出发，根据CORDIC基本旋转角度与缩放因子的对应关系和缩放因子之间的转换规律，对CORDIC流水线结构进行了改进，在蝶形运算速度不变的情况下，进一步减少所耗资源，在字长为16位的FFT中，每个旋转因子可用25位的控制序列来替代，从而使每个旋转因子的存储空间由32位减少到25位。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。