In this paper we define the concept of Projective Blaschke manifolds and extend the theory of equiaffine differential geometry to the projective Blaschke manifolds. We prved that if M be a complete projective Blaschke n-sphere and its universal covering manifold is isometric to a complete (n+1) dimensional parabolic, elliptic or hyperbolic affine hypersphere, then M is a quotient space of E^n, S^n or D^n by a isometric subgroup of its corresponding spaces.
在这篇文章中我们定义了射影Blaschke流形的概念，将等仿射微分几何的理论推广到了射影Blaschke流形，并证明：如果n维完备射影Blaschke 超球面 M 的通用覆盖流形分别是完备的抛物型、椭圆型或双曲型仿射球，则M分别是n维欧氏空间、n维超球面或n维单位圆盘关于各自空间的一个等距离散子群的商，从而对完备射影Blaschke 超球面进行了分类。
This method represents the virtual objects in Euclidean space instead of in affine space, which is consistent with the popular graphics rendering tools such as OpenGL and is more common in practice. A new classification based local and global tracking strategy to match features between the reference image and the currently frame directly is presented, which enables the augmented reality system working effectively even under large changes of viewing angles. A novel affine coordinate system definition method based on a collection of feature points is also proposed, which makes the tracking method effective even when not all the reference points are detected during the whole process, as long as there are at least four pairs of reference points correspondences.
该方法以仿射变换为桥梁来建立欧氏空间下的摄像机坐标系与世界坐标系之间的变换关系，它与OpenGL等当前流行的图形渲染工具一致，具有更强的通用性；采用基于分类的自然特征匹配策略，能够在视角和视点发生大幅度变化情况下依然正常工作；提出基于特征点集合的仿射坐标系定义方法，使增强现实系统在最小配置下只需4点追踪成功即可完成注册，比需要6点的透视投影方法具有更好的健壮性和精确性。
In the classification of QSIC, the notion of affine finiteness of a space curve is put forward.
在对两二次曲面交线的拓扑分类中，本文提出了空间曲线的仿射有限性这一性质。
A technique to construct an affine invariant descriptor for remote-sensing image registration based on the scale invariant features transform (SIFT) in a kernel space is proposed.
针对遥感图像配准，基于尺度不变特征变换（SIFT）提出了一种在核空间中构建仿射不变描述子的方法。
The change law of the plane figure in space area under affine transformation
空间场的仿射变换下平面图形面积的变化规律
Using the substitution-elimination method affine algebraic variety can be resolved to pure d-dimensional subvariety and expressed by an algebraic hypersurface on d+1-dimensional space with a sequence of elimination-polynomial systems. All 0-dimensional solution can be found, too.
利用变换消元法可以把代数簇分解成纯d维的子簇，并把代数簇表示为d+1维子空间上的超曲面形式和一系列的消元多项式组，且能求出全部孤立解，同时给出了算法及其在多项式因式分解中的应用。
In this paper, the question of main plane in the affine transformation of space field is investigated. A kind of method is got by which position of main plane is determined.
探讨了空间场的仿射变换中主平面的问题，得到一种确定主平面位置的方法。
Determination of main plane in the affine transformation of space field
空间场的仿射变换中主平面的确定
Image point features were used as anchor points and the local space-variant regions around the anchor point were used as local window region to generate geometric and brightness affine invariants for image matching.
该算法以影像特征点为定位点，使用分层变尺度窗口内的几何和亮度仿射不变量特征实现立体匹配。
SIFT is a feature matching algorithm based on the scale space, which can keep invariant in the image transformation of scale, rotation and affine distortion.
SIFT算法是一种基于尺度空间的，对图像缩放、旋转甚至仿射变换依然保持不变性的特征匹配算法。
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.
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。
Considered the problem of estimating location and scale parameters of an exponential distribution when location parameter space is restricted, and propose improved estimators of best affine estimators of location and scale parameters in unrestricted case, respectively.
考虑位置参数受约束时指数分布位置参数与尺度参数的估计问题，分别给出了无约束时位置参数与尺度参数的最佳仿射同变估计的改进估计。
Affine invariant feature detection based on scale space analysis and depth information
基于深度信息与尺度空间的仿射不变特征检测
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.
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。
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.
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。
Surfaces over triangulations have been paid special interests by many researchers for the simplex is the simplest polytope in the real affine space.
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。
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.
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。
The affine ratio is defined as the volume ratio of the corresponding tetrahedron of the two affine space.
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。
In addition, we apply the affine transformation of grey image in the 3-D uniform color space to attain to approximate and match two color image blocks after proper affine transformation.
同时我们把灰度图像的仿射变换推广到三维均匀颜色空间，以实现两个彩色图像块之间经适当的仿射变换后的逼近与匹配。
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.
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。