查询词典 projective

In the first part, depending on three or more images, the main research work are listed as follows:(1) using SVD decomposition to realize projective reconstruction;(2) realizing camera self-calibration by solving Kruppa's equation;(3) recovering Euclidean reconstruction from projective reconstruction. Depending on only two images, the main researches are:(1) making out infinite plane homography matrix by using scene structure information, then recovering affine reconstruction from projective reconstruction;(2) making out the absolute conic images by using scene structure information, and then recovering Euclidean reconstruction from projective reconstruction.

在第一部分中，针对三幅及三幅以上的图像，主要研究：①利用矩阵奇异值分解实现射影重构，②通过求解Kruppa方程实现摄像机自标定，③由射影重构恢复欧氏重构；针对只有两幅图像的情况，主要研究：①利用场景结构信息求解无穷远平面的单应矩阵，由射影重构恢复仿射重构，②利用场景结构信息求解绝对二次曲线的像，由仿射重构恢复欧氏重构。

Projective and affine geometry are covered in various ways.

Projective和affine 几何学覆盖各种各样的方式。

Based on projective geometry,the research works about 3D invariances extraction and application have been done in this thesis as following:(1) The basic theories and concepts in projective geometry are systematically summarized. It includes:the camera models of perspective imaging,projective collineation,cross ratio,a simple compare about invariance among some geometry transformations,fundamental matrix,epipolar and epipolar line in epipolar geometry,and so on.

基于射影几何理论，论文围绕3D不变特征的提取和应用进行了如下的研究工作：(1)系统总结了射影几何中的若干基础概念，包括：透视成像的相机模型、射影对应、交比不变量、基于不同几何变换下的不变量的简单对比、对极几何中的基础矩阵、对极点、对极线等。

Based on projective geometry, the research works about 3D invariance's extractionand application have been done in this thesis as following:(1) The basic theories andconcepts in projective geometry are systematically summarized. It includes: the cameramodels of perspective imaging, projective collineation, cross ratio, a simple compare aboutinvariance among some geometry transformations, fundamental matrix, epipolarand epipolar line in epipolar geometry, and so on.

基于射影几何理论，论文围绕3D不变特征的提取和应用进行了如下的研究工作：(1)系统总结了射影几何中的若干基础概念，包括：透视成像的相机模型、射影对应、交比不变量、基于不同几何变换下的不变量的简单对比、对极几何中的基础矩阵、对极点、对极线等。

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。

Using homogeneous projective coordinate,this paper presents a researches of the dual of projective space and reveals the essence of dual fundamentals of projective space the same coordinate represents both point and plane,and there is a dual relation in the point and plane.

射影空间是对偶结构，用齐次射影坐标研究了射影空间的对偶原理，从而揭示出射影空间里互相对偶的点与平面的坐标之间的内在联系

An iterative factorization method based on linear subspace for projective reconstruction is presented in the paper. It relies on the facts that the rows in the matrix including all the image points span the same linear subspace as the rows in the matrix including space points and the fact that any basis of the subspace can be regarded as projective reconstruction. The projective reconstruction and the depth factors are obtained based on linear iteration.

摘要该文提出了一种基于子空间线性迭代的射影重建方法，该方法利用所有的图像序列构成的行向量生成的线性子空间之和与射影重建结构点构成的行向量生成的子空间是同一线性子空间及在该子空间中任何一个基底都可以作为射影重建的特性，线性迭代地求取射影重建及图像深度因子。

Also, the inversion is designed in the projective coordinates that will save much computation time.

另外我们采用Projective座标系统，将除法运算转变为乘法运算，进而降低运算结果的时间。

The paper puts forth that the numerical model of actual forming part is reconstructed by RE and the surface is regarded as actual trimmed surface, then grids and nodes mapping relationship between design model and actual forming part is acquired through compelling deformation simulation, and the design trimming line is dispersed into points according to a certain precision and the projective points and the coordinate values of the intersection points of projective line on the grids formed by discrete points are calculated along trimming direction, the new coordinate values of projective points and intersection points of projective line after deformation are calculated based on the mapping relationship of grids and nodes, the deformed trimming line can be acquired through fitting the points into curve.

本文提出通过逆向工程技术重构出实际冲压件的型面并以此型面为修边后实际冲压件的型面，然后采用强制变形仿真的方法建立设计模型和实际冲压件重构模型的网格和节点映射关系。将设计修边线按一定精度离散成点，然后根据修边方向计算出各点在网格上形成的投影点和投影线交点，根据之前计算出来的网格和节点映射关系就可以计算出投影点和投影线交点在变形后的新坐标，将其拟合成曲线就可以得到变形后修边线的形状。

And then, we try to get the data by questionnaires which are designed through Third-person Projective Technique.

然后利用第三人投射调查方法(Third-person Projective Technique)来获取问卷资料，并在理论分析的基础上结合问卷数据对这些方面作一定的探索性研究。

So that more consumers can enjoy more delicious quality, technology is even better than wine.

让更多的消费者可以品尝到品质更为鲜美，工艺更为精湛的葡萄酒。

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