查询词典 affine

The nonlinear mapping is realized by modelling the Local Generative units in the input space and a Global Affine transformation in the feature space.

这个非线性映射是由在输入空间中建立局部生成单元模型并且在特征空间中构建全局仿射变换来实现的。

Tetrahedron can be formed with four sequence and non-coplanar points in space,and any points in it can be represented by barycentric coordinate system with space affine transform.

给定空间不共面的四个有序数据点，可以形成一个四面体。

Keywords: Hecke algebra; quantum affine algebra; Fock space

中文关键词：黑克代数；量子仿射代数； Fock空间

Local invariant feature ; object recognition ; image matching ; image classification ; scale space ; affine invariant moment ; detector ; descriptor

吉林大学；刘萍萍局部不变性特征；物体识别；图像匹配；图像分类；尺度空间；仿射不变矩；检测子算法；描述子算法

First, we introduce and discuss the various methods of multivariate polynomial interpolation in the literature. Based on this study, we state multivariate Lagrange interpolation over again from algebraic geometry viewpoint:Given different interpolation nodes A1,A2 .....,An in the affine n-dimensional space Kn, and accordingly function values fi(i = 1,..., m), the question is how to find a polynomial p K[x1, x2,...,xn] satisfying the interpolation conditions:where X=(x1,X2,....,xn). Similarly with univariate problem, we have provedTheorem If the monomial ordering is given, a minimal ordering polynomial satisfying conditions (1) is uniquely exsisted.Such a polynomial can be computed by the Lagrange-Hermite interpolation algorithm introduced in chapter 2. Another statement for Lagrange interpolation problem is:Given monomials 1 ,2 ,.....,m from low degree to high one with respect to the ordering, some arbitrary values fi(i= 1,..., m), find a polynomial p, such thatIf there uniquely exists such an interpolation polynomial p{X, the interpolation problem is called properly posed.

文中首先对现有的多元多项式插值方法作了一个介绍和评述，在此基础上我们从代数几何观点重新讨论了多元Lagrange插值问题：给定n维仿射空间K~n中两两互异的点A_1，A_2，…，A_m，在结点A_i处给定函数值f_i(i=1，…，m)，构造多项式p∈K[X_1，X_2，…，X_n]，满足Lagrange插值条件：p=f_i，i=1，…，m (1)其中X=(X_1，X_2，…，X_n)，与一元情形相似地，本文证明了定理满足插值条件(1)的多项式存在，并且按"序"最低的多项式是唯一的，上述多项式可利用第二章介绍的Lagrange-Hermite插值算法求出，Lagrange插值另一种描述是：按序从低到高给定单项式ω_1，ω_2，…，ω_m，对任意给定的f_1，f_2，…，f_m，构造多项式p，满足插值条件：p=sum from i=1 to m=Ai=f_i，i=1，…，m (2)如果插值多项式p存在且唯一，则称插值问题适定。

The self\|affine fractal surface model is introduced to the quantitative descriptions of random screens.

用自仿射分形表面模型对散射屏的统计特性进行了描述和拟合。

Random screen ; light scattering ; self\|affine fractal surface

随机散射屏；光散射；自仿射分形表面

So it is not easy to turn this idea into reality. We creatively give our parameterization by using the expression of the blending surface in affine coordinate system ([9]) and the plane pencil together.

在仿射坐标系下，二次有轴曲面的表达式相对简单，我们基于厉玉容[9]给出仿射坐标系下拼接曲面的表达形式、不分块直接对混合拼接曲面进行参数化。

The image registration firstly assumes that there is some transformation between frame and frame of images, such as translation, affine and planar surface etc. and then registers images.

图象配准算法首先假设图象帧间存在某些变换，例如平移变换、仿射变换和平面变换等，然后对序列图象进行运动配准。

3D reconstruction is one of the most challenging problems in computer vision. This project uses CAD model to increase the accuracy,robustness and speed of 3D reconstruction and five different works are conducted: 1 research on space curve 3D reconstruction method based on high curvature point nad turning point; 2 free-form curve 3D reconstruction based on B-spline and BURBS; 3 Active surface affine reconstruction based on single frame; 4 Matching and reconstruction of 3D sparse points; Data fitting method based on the iteration of nearest point.

三维重建是计算机视觉中公认的难题，本项目使用CAD模型来提高三维重建的精度、稳健性和速度的思路，围绕着空间曲线和曲面的三维重建和匹配开展了以下五个方面的研究：1）基于高曲率点和拐点分割的空间曲线三维重建方法研究；2）基于B样条和NURBS表示的空间自由曲线三维重建方法研究；3）基于单帧图像的有源曲面仿射重建；4）三维离散数据的匹配与重建；5）基于迭代最近点的数据拟合方法。

Putt your way through 36 fun-filled holes of minigolf on 3D designed courses with elevated greens, bunkers, bridges and water hazards, among other crazy obstacles.

您的推杆方式，通过36个有趣的填孔迷你的三维设计的课程，以提升绿党，掩体，桥梁和水的危害，除其他疯狂的障碍。

Some participles can be used either as attributes or as predicatives.

有些分词既可当定语用，也可当表语用。