射影坐标

射影坐标中的概率分析及制图误差的正态分布

Probability analysis in projective coordinate and normal distribution of drawing error

射影坐标系的教学

The teaching of the projective coordinate system

利用仿射坐标与射影坐标的映射关系，设计了一种有限素整数域上ECC快速算法，使得ECC在电子商务中实际安全应用成为可能。

A fast arithmetic of ECC based over finite prime field is designed by the map of between affine coordinates and projective coordinates . This make it possible that ECC 's practical applications in the Electronic commerce .

在射影坐标到欧氏坐标的坐标变换过程中，必须选择一定数量的校准点。

Certain reference points need to be selected correctly when the projective coordinates are changed into the Euclidean ones .

为了提高运算速度，利用射影坐标思想，改进椭圆曲线上求两点和运算公式，对标量乘算法进行优化。

In order to accelerate operating speed , projective coordinates are used and point addition is improved to optimize the scalar multiplication algorithm .

在笛氏齐次坐标的基础上，采用齐次向量的方法，建立二维射影坐标系。

It is shown that the 2_dimensional projective coordinate system can be constructed by homogeneous vector on the basis of the Descartes homogeneous coordinates .

这种方法简单、直接，可在一般的射影坐标系下实现。

Comparing with the method in , our method is simply and directly , and it can be realized in a general projective coordinate system .

借助射影坐标系用解析方法证明了巴卜斯命题，并由巴卜斯命题按照射影对应的透视特征导出了六点共线问题，最后把这个结果作了进一步的推广。

This paper proves that Pappus proposition by means of analytical solution at real projective coordinate system and the issue about six point collineation are derived according to perspective feature of projective correspondence . Finally , the result of this thesis can be further generalized .

本文主要阐述用有序实数组建立平面射影坐标系的目的、方法、条件及唯一性，并将其理论推广到射影空间里，最后浅谈教学体会。

The essay mainly discusses the purpose , method , condition and one and the only nature of the planar projective coordinate system established by ordered real number group and extends it 's theory to the projective space , then it discusses briefly the author 's teaching experiences .

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 ;

给出在射影变换下以原象元素所建立的齐次射影坐标系化为自然坐标系的方法，不妨称作基元变换法。

This paper gives the method of homogeneous projection coordinates system that is established by original element turning to natural coordinates system under the projective change .

作者从射影几何的观点出发，全面分析研究了摄影测量的几何理论，首次提出了用齐次射影坐标表述的摄影测量方程组，为摄影测量提供了新的理论基础，并给出了具体的实例。

Basing on projective geometry , the author of this paper offers a general analysis of photogrammetric geometry theory and puts forward the photogrammetric equations expressed by homogeneous projective coordinates .