射影平面

关于Suzuki群与射影平面的一个注记

Suzuki Group and Projective Plane

本文将射影平面上二次曲线的Steiner定理〔1〕及其逆定理、对偶定理推广到n维射影空间Pn的二次超曲面上。

In this paper , the Steiner theorem . and its contra-theorem , duality-theorem of conical section on projective plane are generalized to the quadric-hypersurface of n-dimensional projective space .

提出了将射影平面叠加到AUTOCAD绘图板上并进行电子非欧几何作图的思想和方法；

The concept and method of adding a projection plane to AUTO CAD drawing-board and drawing non-Euclidean geometry graph on the board are discussed .

对于不可定向曲面上地图的计数，大部分的文献都是集中在小亏格的曲面上，如射影平面，Klein瓶等。

On the enumeration of maps on the nonorientable surfaces , most of literatures concentrated on such surfaces as the projective plane and the Klein bottle .

得到主要结果：令q是素数方幂，若G是一个射影平面的共线变换群并且传递地作用在点集合上，则G不能与PSU（3，q2）同构。

The main result : Let q be a power of a prime , and if G is a collineation group of a projective plane and G acts transitively on the points , then G is not isomorphic to PSU ( 3 , q ~ 2 ) .

两射影平面场的合同点列与线束

The congruent point range and line pencils between two projective planes

平面与射影平面上近-4-正则地图的分布

Distributions of Near-4-Regular Maps on the Plane and the Projective Plane

编制了射影平面的构建程序；

And the software of the projection plane is programmed .

复射影平面上一个几何模型的构建

Establishment of a Geometrical Model on Complex Projective Plane

素数阶射影平面的一种构造法

A Construction of Projective Plane of Prime Number Order

十三点射影平面的一个模型

A model of the projective plane with thirteen-points

射影平面的结构与整体性质

The Structure and Entire Character of Projective Plane

点正则的线性空间与射影平面

Point regular linear spaces and projective planes

射影平面的拓扑性质

The topological properties of the projective plan

椭圆曲线上的射影平面

Projective Plane on Elliptic Curve

本文在复射影平面上给出了二维流形中双曲射影移动的代数表达式。

Within complex projective plane an algebraic expression of the hyperbolic projective move among two - dimension manifold is given .

本文对以下问题给出了一般方法：证明以某些几乎单群为点传递自同构群的线性空间不是射影平面。

The method used can be generalized to prove that a linear space admitting a point-transitive automorphism group isomorphic to some almost simple group is not a projective plane .

在射影平面的扩大平面模型上的已知射影坐标系下，本文解决了已知射影坐标，几何地作出它所对应的点；

Under a system of projective coordinates of the extended plane which is model of projective plane , we can plot the point , if projective coordinate of this point is given ;

本文利用展形构造射影平面，并讨论了展形构造的平移平面的构图命题与线性变换集{Ta}的代数性质的关系。

This papper discusses the construction of projective plane by spread , and the relation between configuration proposition of the translation plane constructed by spread and algebraic character of the set { Ta } of linear transformations .

本文利用椭圆曲线上射影平面的概念，将椭圆曲线上加法转换成射影平面上的加法，从而避免了求逆运算。

In this paper , with the definition of projective plane on elliptic curve , the addition on elliptic curve is transformed to the addition on projective plane . So the inverse in addition algorithm of elliptic curve can be avoided .

结果表明，平面上的最小圈基仅与面圈有关，射影平面上的最小圈基不仅与面圈有关，还与其不可收缩圈有着一一对应性。

The results show that the minimum cycle bases on the plane relates to its facial cycles ; otherwise , that on the projective plane not only relate to its facial cycles , but also has a one-one correspondence with its noncontractible cycles .

本文通过初等数论知识和关联矩阵的定义给出一类对称设计的设计方案，从而得到素数阶射影平面的一种构造法。

In this paper , the scheme of a kind of block design ( V , K , I ) was given with aid of definition of elementary number theory and implicative matrix , again , a construction of projective plane of prime number order was obtained .

利用消失点列的射影不变量描述平面直线关系

Description of Planar Line Relationship by Projective Invariant of Vanishing Points

一种新的射影变换下平面多边形的识别方法

A new method of recognizing polyhedrons under perspective transformation

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。

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 .

首先介绍了平面测量问题的理论基础&平面射影几何的一些基本元素：射影平面，齐次坐标，平面单应等，接着讨论了摄象机针孔模型以及基于图象的平面测量基本原理。

At the beginning , the basic theory of plane measurement ? some basic elements in planar projective geometry , including 2D protective plane , homogeneous coordinates and homography are introduced . The pinhole camera model and the basic algorithm of image measurement are discussed .

本文深入分析了平面目标的仿射不变特征和射影不变特征，研究了一种新的基于射影不变量的平面目标识别方法，并进行了仿真实验和性能分析。

This thesis analyzed thoroughly the affine invariant features and the projective invariant features of planar objects and a novel method based on the projective invariants was deeply studied . Simulation experiments and performance analysis are both given .