查询词典 affine variety

Projective and affine geometry are covered in various ways.

Projective和affine 几何学覆盖各种各样的方式。

Firstly, we calculate the Lie point symmetry of 1+2-dimensional nonlinear evolution equation:Which arises from the motion of plane curves in affine geometry.

我们首先计算了来自射影几何的平面曲线运动的非线性发展方程：所容许的李点对称群。

Was systematicly introduced to the field of image processing, and formed a relatively integrated theory system combined with other mathematic tools such as mathematic morphology and affine geometry. The level set methods proposed by S.

但直到九十年代才比较系统地将偏微分方程引入图像处理领域，结合其他一些数学工具如数学形态学和仿射几何等，形成了比较完整的理论体系。

The first part of the book is concerned with rings and modules, matrices over a ring, affine geometry and projective geometry over a Bezout domain.

内容包括：基本概念，群表示的特徵标，点群的表示，群代数与对称群的表示，有限群的实表示与复表示，有限群表示在群论中某些应用和有限群的模表示等。

Typical remote imaging distortions are analyzed firstly. For sea area optical images, a Convex Hull of Extended Centroids target global invariant feature extraction method is proposed based on affine geometry theory.

论文在分析成像畸变误差的基础上，针对海域光学遥感图像数据，提出了基于仿射几何理论的扩展质心-凸包目标全局不变特征提取方法。

Sphere;; affine geometry;; similarity geometry;; motion of surface;; integrable equation

论文导师屈长征，论文学位硕士，论文专业应用数学

Description and recognition of plane has been processed depend on the geometry model of continental group and affine group anciently, with the development of the computer vision application, people attaches importance to the investigation of the perspective invariants, thus the investigation of perspective invariants gradually become an important problem in the computer vision.

以往人们对曲线的描述和识别大都是在欧氏群和仿射群的几何模型下进行的，近几年随着计算机视觉应用的发展，射影群下不变量的研究开始受到人们重视，所以射影变换下几何不变性的研究是计算机视觉中的一个重要的研究课题。

In Chapter 2, we will use one-parameter subgroups of the Lie group to develop a version ofNewton\'s method on an arbitrary Lie group for maps from a Lie group to its correspondingLie algebra which is independent of affine connections on the Lie group and differs fromNewton\'s method for sections on Riemannian manifolds.

在第2章中，我们主要研究关于从李群到其李代数的映射f的Newton法的收敛性。利用李群的单参数子群来给出关于映射f的Newton迭代点列，此Newton迭代与李群上的联络无关，也与第1章中研究的Newton迭代不同。

They include:collinearity--an invariance under the projective transformation group;Parallelisminvariance under the affine transformation group;the direction of angles--aninvariance under the rotation transformation group.

这些几何不变性质包括共线性——在射影变换群下的不变性；平行性——在仿射变换群下的不变性；角的方向——在欧氏平移变换群下的不变性。

Topics include: line generators, affine transformations, line and polygon clipping, splines, interactive techniques, perspective projection, solid modeling, hidden surface algorithms, lighting models, shading, and animation.

章节中包含：线的生成，仿射转换，线和多边形的裁切，样条线，互动技术，透视投影，实体模型，隐藏面算法，明暗模型，阴影，和动画。

The shaping method of noncircular part and the tool holder's radial motion characters in noncircular turning process are discussed in detail in the thesis.

论文详细研究了非圆零件的成型方法和加工过程中刀架的径向运动规律。

I have not really liked him,I do not like his this kind of disposition.

我没有真的喜欢他，我不喜欢他的这种性格。