仿射空间

基于n维仿射空间的产品结构模型的研究与应用

Product structure model based on n-dimensional affine space

目前大多数跟踪算法的运动模型采用的是仿射空间上的粒子滤波。

Most modern tracking algorithms adopt a motion model of particle filter on the affine space .

本文使用张量的方法推导了基于仿射空间的免标定增强现实方法，该方法不需要像机的标定参数和环境对象的3D位置信息就可实现视频增强。

This approach does not use the calibration parameters of the camera and the3D locations of the environments object , and can realize the video augmentation .

结合仿射空间和正交分解的类中心分类法研究

The Study on Centroid-Based Classification Algorithm by Affine Space and Proper Orthogonal Decomposition

本文给出了四维仿射空间中具有常截面曲率的仿射球的完全分类。

A Complete classification of affine spheres with constant cross section curvature in 4-dimensional affine space is given .

利用多质点重心法，通过格拉斯曼空间到仿射空间的映射，求出堆垛机动态待命位。

The optimal dwell point of SRM is gained via mapping from Rrassmann space to affine space using multi-particle barycenter method .

利用模糊集的平移，研究了模糊仿射空间和模糊向量子空间的相互关系。

The relations of a fuzzy affine space and a fuzzy subspace are investigated by using a translation of fuzzy set .

因为单纯形是任意维实仿射空间中最简单的多面体，因此许多学者对于基于三角剖分域多元参数曲面非常感兴趣。

Surfaces over triangulations have been paid special interests by many researchers for the simplex is the simplest polytope in the real affine space .

零件、部件和产品的全体构成一个仿射空间，并与伴随向量空间中的向径相对应。

All parts of a product could construct an affine space , and then each of them had a corresponding vector in the concomitant vector space of the affine space .

基于可靠指标矢量，发展并提出了在广义随机空间即仿射空间中的广义可靠指标矢量，提出了广义可靠指标矢量的优化计算模型。

The generalized reliability index vector is proposed in generalized stochastic space namely affine space based on reliability index vector . Correlation coefficient of random variable is projected to angle of the generalized stochastic space , and the optimization design model is proposed .

算法将视点变换矩阵的插值由仿射空间变换到李代数表示的参数空间，在参数空间进行插值，然后执行参数空间到仿射空间的变换，从而得到一系列的插值视点。

The algorithm transforms the viewpoint transformation matrix interpolation by affine space to the parameter space , interpolates in the parameter space , and then performs the parameter space to the transformation of the affine space and gets a series of interpolation of viewport .

先将3D物体模型转换到仿射不变空间，然后把顶点坐标转换到球面坐标，利用球面坐标来嵌入水印。

First , a transformation of the model to an affine invariant space was finished prior to watermark embedding .

由于在仿射不变空间下，3D物体模型不受平移、旋转和比例变换的影响，故该水印方案对于此类变化具有很强的鲁棒性。

Then the Cartesian coordinates was converted to spherical coordinates in which the watermark was embedded . In affine invariant space , the 3D object is not affected by geometric transformations , such as translation , rotation and scaling .

设Fq是一个q元域，用Fq上仿射辛空间中的全部超平面构作了类数为3的结合方案，并计算了参数。

Let be the finite field with elements , ASG be the - dimensional affine - symplectic space . Taking the set of all hyper-planes ASG as the set of treatments , we construct association scheme of class 3 , and compute their parameters .

二仿射对应空间场的仿射比及合同图形

The affine ratio and congruent graph between two affine space

某一类齐性仿射联络空间

A certain class of homogeneous spaces of affine connections

利用有限仿射酉空间中的点构作多个结合类的结合方案

Constructing Association Scheme with Points in Affine-Unitary Space

基于仿射形状空间的实验了表明本文所提出算法的有效性。

Experiments within affine shape space prove the effectiveness of this novel proposed algorithm .

具有面积测度的一些仿射联络空间

Certain affinely connected spaces with areal metric

关于某类非线性系统共振情形的研究某一类齐性仿射联络空间

Resonant oscillation of a certain nonlinear system a certain class of homogeneous spaces of affine connections

关于仿射子空间的若干性质

Some Properties of Affine Subspace

二仿射对应空间场对应四面体的体积比为定值，称为仿射比。

The affine ratio is defined as the volume ratio of the corresponding tetrahedron of the two affine space .

本文给出仿射联络空间中仿射运动群的基本定理的一种证明；

This paper gives a proof about the fundamental theorem ( and the inverse theorem ) on the affine groups of motions in the affinely connected spaces .

有限域上的仿射伪辛空间及应用

Affine - pseudo - symplectic Space and Applications

仿射不变的空间秩深度及其性质

Affine invariant spatial depth and its properties

用仿射坐标系作空间连杆机构的位移分析

Displacement Analysis of Spatial Mechanism by Setting up Affine Coordinates System

后来发现可以通过引入仿射参数而避开双值性，实质上是将两叶黎曼面分别映射到仿射参数空间。

The double-valued problem can be simplified by introducing an appropriate affine parameter , namely , mapping the two Riemann sheets on the plane of the spectral parameter to the affine parameter space .