1.Firstly, we introduced the related background knowledge of Digital Geometry Processing. Then we thoroughly discussed three kinds of algorithms of Digital Geometry Processing,they are DGP algorithms based on relaxation operator, DGP algorithms based on remeshing, DGP algorithms apply for special geometry image, and analyzed advantage and disadvantage of all kinds of algorithms, after that we discussed the Key Technology, mesh simplification, in Digital Geometry Processing.
本文首先介绍了与数字几何处理相关的背景知识，并对数字几何处理的三类算法，即基于松弛算子(relaxation operator)的DGP算法、基于重建网格(remeshing)的算法、适用于特殊几何图像(Geometry Image)的算法做了深入探讨，进一步分析了各类算法的优缺点。
2.Some Constructions of Cartesian Authentication Codes from Pseudo-symplectic Geometry
Some Constructions of Cartesian Authentication Codes from Pseudo－symplectic Geometry
3.Dynamic geometry software (DGS) is di? erent from general drawing softwareessentially.
动态几何软件(Dynamic Geometry Software)与普通的作图软件有着本质上的不同。
4.Mesh parameterization is an essential problem of Digital Geometry Processing (DGP).
网格参数化是数字几何处理 (Digital Geometry Processing)中的一个基本问题 .
5.TWO NEW CONSTRUCTIONS OF CARTESIAN AUTHENTICATION CODES FROM SYMPLECTIC GEOMETRY
TWO NEW CONSTRUCTIONS OF CARTESIAN AUTHENTICATION CODES FROM SYMPLECTIC GEOMETRY
6.EUCLIDEAN GEOMETRY OF CURVED EXPONENTIAL FAMILIES AND ITS APPLICATION TO CONFIDENCE REGIONS
EUCLIDEAN GEOMETRY OF CURVED EXPONENTIAL FAMILIES AND ITS APPLICATION TO CONFIDENCE REGIONS
7.According to NCTM principles and standards of geometry,this essay analyzes the whole aim of NCTM principles and standards of geometry,And on the basis of this,this essay puts forward several thoughts after comparing NCTM principles and standards of geometry with geometry teaching in china.
本文以NCTM几何课程标准为主要依据 ,在对美国几何课程的整体目标分析的基础上 ,与我国几何教学相比较 ,提出了几点思考。
8.Firstly, this dissertation introduces the basic conceptions and relevant properties of projective geometry, affine geometry, metric geometry and Euclidean geometry used in computer vision, as well as the camera model with imaging principles.
本文首先介绍了计算机视觉中所用到的射影几何、仿射几何、度量几何和欧氏几何等各类几何学的基本概念和相关特性； 概述了摄像机模型及成像原理；
9.As an effort to enlarge the scope of projective geometry,the present paper is an attempt to use projective transformation to map circle into proper quadratic curve,so as to develop and generalize the Butterfly Theorem into aprojection geometry proposition,one of the most impotant Euclidean geometry(a branch of the projective geometry itself)theorems related with circle.
蝴蝶定理是欧氏几何中与圆有关的一个重要定理 ,而欧氏几何又是射影几何的子几何 ,本文将利用射影变换将圆映射为常态的二次曲线 ,从而将蝴蝶定理衍变推广为射影几何的命题 ,以丰富的射影几何的内容
10.Abstract The calculation of gear tooth bending strength in API Spec 11E requires a geometry factor J. The geometry factor J depends on a Lot of information. API Spec 11E does not describe method of determinig this geometry factor,only recommendation and reference relevant standard to AGMA.
抗弯截面模量J是APISpec11E抽油机规范中计算齿轮抗弯强度所必须的一个重要参数，由于影响该参数的成分很复杂，在该标准中没有介绍如何计算，只推荐参阅AGMA的有关标准。
