查询词典 projective

We give a theorem for the stable range of endomorphism rings of finitely generated projective modules over a formal triangular matrix ring T when T is an exchange ring.

2.6节对有有限exchange性质的形式三角矩阵环T给出了有限生成投射T-模的自同态环有稳定度n的一个具体关系。

Due to the inspiration of maximal injective module by professor Wang Ming-yi, in chapter two, we introduce the conception of max-projective modules, discuss its properties, applications: the primitive relations between rings and endomorphism rings, an equivalence that is surrounding strongly V.N. rings.

受汪明义教授引进极大内射模概念的启发，在第二章中我们引进了极大投射模的概念，由此讨论了它的一些性质及其应用：环与自同态环之间的本原性关系；强正则环的一个等价刻划；并在环为交换和非交换的情形下分别应用有限表现模的极大投射性得出了SF环和Von Neumann正则环的关系。

Furthermore, it is shown that every pure projective left R-module is closed under pure submodule if and only if every pure injective left R-module is closed under pure epimorphic image.

最后，作为应用，证明了每一纯投射左R-模在纯子模下封闭当且仅当每一纯内射左R-模在纯满像下封闭。

It is proved that a left R-module P is pure projective if and only if for any pure epimorphism E→M→0, where E is pure injective, Hom→Hom→0 is exact.

证明了左R-模P是纯投射的当且仅当对任意纯满射E→M→0，其中E是纯内射的，Hom→Hom→0是正合的。

In chapter 4, According to the theory of scalar diffraction, firstly, the equipollence of spatial distribution of the plane-wave interferential field and parallel projective sine grating is discussed.

在第四章，根据标量衍射理论，首先讨论了两平面波干涉场的空间分布与平行投影正弦光栅的等价性。

We presents an accurate F method based on corresponding point adjustment.The method adjusts coresponding points according to the fixedness of projective transformed cross ratio,then calculates F matrix accurately through linear and non-linear methods. When computing intrinsic parameter,A matrix,we simplify the step,and stress on the two important parameters of A.The result will be getten through solving Kruppa equation based on SVD decomposition.In order to compute extrinsic parameters,we use linear method to get initial R and t,then apply non-linear method to accurate them.

提出了基于匹配点调整的F求精方法，先根据摄影交比不见性对手工选择的匹配点进行调整，再用线性、非线性结合的方法求精F矩阵；在计算内部参数A中，进行了一定的简化，把重心放在A中重要的两个参数上，用SVD分解法计算Kruppa方程；在计算外部参数时，首先用线性法求解R、t，然后再用非线性法迭代求精。

In the self - calibration scheme , the thesis emphasizes the accuracy of camera intrinsic and extrinsic parameters . we presents an accurate f method based on corresponding point adjustment . the method adjusts coresponding points according to the fixedness of projective transformed cross ratio , then calculates f matrix accurately through linear and non - linear methods . when computing intrinsic parameter , a matrix , we simplify the step , and stress on the two important parameters of a . the result will be getten through solving kruppa equation based on svd decomposition . in order to compute extrinsic parameters , we use linear method to get initial r and t , then apply non - linear method to accurate them

提出了基于匹配点调整的f求精方法，先根据摄影交比不见性对手工选择的匹配点进行调整，再用线性、非线性结合的方法求精f矩阵；在计算内部参数a中，进行了一定的简化，把重心放在a中重要的两个参数上，用svd分解法计算kruppa方程；在计算外部参数时，首先用线性法求解r、 t ，然后再用非线性法迭代求精。

This paper presents a fast approach to estimate the pose of human face from a monocular image, combining with the Chinese's appearance morphologic characteristic discovered by human appearance morphologic statistics, and cooperating with the theoretical foundation of projective geometry.

主要研究内容包括： 1。计算机辅助的面貌形态测量模型的建立。在人类学和形态学知识的基础上，分析了姿态估计技术需要使用的面貌形态特征，确定了测量涉及到的人脸特征点，形成可计算模型。

Based on the former chapter, one method based on fundamental matrix and crossrate is proposed in this chapter to render novel image considering the character of fundamental and cross-rate invariant in the perspective project, which utilized the correspondence relationship between the given two images and projective invariant between images to render novel image.

该方法通过将基本矩阵的稳定性求解问题转化为一个有条件的极值求解问题，结合遗传算法良好的全局寻优特点，将该方法很好地引入到基本矩阵的求解中，并取得了良好的实验结果。（5）第五章在上一章的基础上，综合基本矩阵和透视投影中的交比不变性的特点，提出了一种基于基本矩阵和交比的生成新图象的方法，这种利用已知两幅图象之间存在的匹配关系和新图象和已知图象存在的透视不变量，来生成新图象。

ABSTRACT This dissertation describes our investigation of the geometric invariance and geometric invariant over projective transformation group, with the emphasis on the estimation of geometric constraints in image sequence and their applications in computer vision.

本论文介绍了作者对射影变换群上的几何不变性及几何不变量的研究，重点研究了序列图象间几何约束关系的估计及其在计算机视觉中的应用。

Objective:To explore the feasibility of laparoscopy in diagnosing and treating of abdominal diseases.

目的：探讨腹腔镜用以诊断腹部外科疾病及选择治疗方案的可行性。

The lifetime of nylon 1010 and nylon 1010/POSS composites decreased with increasing temperature.

热重-红外联用分析表明尼龙1010在氮气气氛下的降解产物主要为小分子的低聚物，POSS并不改变尼龙1010降解产物的组成。