查询词典 geometric

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。

Recent studies on the geometric inequality for the n-dimensional simplex produce many important geometric inequalities;however,the study on the problem of the geometric inequality for the pedal simplex has been very few.

关于n维单形的几何不等式研究，近期建立了许多重要几何不等式，然而，关于垂足单形几何不等式研究还是比较少。

The research of the triangle geometric inequality has obtained very rich of the outcomes. This paper studies mainly some new linear triangle geometric inequalities, focusing on the linear geometric inequalities which are known, and it also includes some conjectures of the author.

三角形中的几何不等式研究已取得了非常丰富的成果，本文主要围绕已知的线性几何不等式进行研究，给出三角形中一些新的线性几何不等式，并包含了作者的某些猜想。

But it is not an easy task to directly extend the linear triangle geometric inequality to the n-simplex, thus there are many geometric inequalities worthing exploring and researching when we extend the linear geometric inequality to the tetrahedron and the n-simplex.

而三角形中的某些线性几何不等式直接推广到维单形并不是一件容易的事，因而在推广到四面体中乃至维单形时还有许多几何不等式值得探讨和研究。

An easy task to directly extend the linear triangle geometric inequality to the n-simplex, thus there are many geometric inequalities worthing exploring and researching when we extend the linear geometric inequality to the tetrahedron and the n-simplex.

而三角形中的某些线性几何不等式直接推广到维单形并不是一件容易的事，因而在推广到四面体中乃至维单形时还有许多几何不等式值得探讨和研究。

ABSTRACT This paper summarizes our researches on two key techniques in curve and surface modeling-the geometric approximation techniques and the geometric interpolation techniques. The former includes three types of geometric approximation techniques: Hybrid polynomial approximation to rational curves and surfaces, offset curves and surfaces approximation, interval Bézier curves and surfaces approximation. The latter includes a series of algorithms for shape blending modeling: the MSI algorithm for shape blending between space polylines or trees, the MSI algorithm for shape blending between triangular meshes, and skeleton-based shape blending algorithms using triangular decomposition and star-shape decomposition.

本文是作者对曲线曲面造型中两类核心技术几何逼近技术和几何插值技术的研究成果的总结，其中前者包括有理曲线曲面的Hybrid多项式逼近、等距曲线曲面逼近和区间曲线曲面逼近等三类几何逼近方法；后者包括用于形状混合造型的几何插值方法的一系列算法：空间多边形形状混合的MSI插值算法、三角网格形状混合的MSI插值算法、树的形状混合的MSI插值算法以及基于骨架树形状混合的三角剖分算法和星形剖分算法。

By amending the auxiliary geometric primitive,diagonal,of generalized tri-prism into tetrahedron ,the inconsistentness of data organization and of geometric primitive in real 3D geosciences modeling as well as the geometric interstice in spatial operation were solved.

将广义三棱柱的辅助几何要素———对角线———修正为四面体，解决了R3DGM中数据组织与几何要素的不一致和空间操作中的几何裂缝问题。

First of all, we present the development background and process of covex theories and geometric properties of Banach spaces, the significance of pointwise geometric constants and geometric constants of spaces, and we provide discu-ssion of content of each part of the paper.

首先，本文详细叙述了Banach空间凸性理论与空间几何性质的发展背景和进程，及空间几何常数与点态几何常数的研究意义，并给出了本文各部分所讨论的内容。

This research of this thesis focuses on the cognitive strategy of geometric analogy cognitive component and the subjects'learning potential on the geometric analogy test, deploying the research encircling the realization of geometric analogy test from these three aspects. It answers 3 detailed question:1.what kind of item can arose the rule-constructing strategy of the subject, or rule-deleting strategy?

本研究关注几何类比推理的认知策略、认知成分及被试在几何类比推理测验上的学习能力，围绕几何类比推理测验在这三方面的认知诊断功能的实现展丌研究，具体回答三个问题：(1)怎样的项目更能引发被试的规则构建策略或更能引发被试的选项剔除策略？

A geometric correction model of tri2CCD line sensor imaging is established by use of outer orientation elements synchronously recorded by IMU and inner orientation elements cali2 brated in the lab. At last geometric distortions and geometric corrections are simulated on the computer.

利用由惯性导航系统同步记录的CCD 线阵传感器的外方位元素和在实验室标定的CCD 像元的内方位元素建立3 条CCD 线阵传感器成像的几何校正模型，通过仿真实现了遥感成像的几何畸变及几何校正。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。