仿射几何

词组短语

affine geometry

与仿射几何相关的网络例句 [注：此内容来源于网络，仅供参考]

This method utilizes the invariant properties of affine geometry to calculate the affine invariant, which has a more fast process speed.

该方法利用仿射几何中的特征区域面积比的不变性质构造仿射不变量，在处理速度上具有较为明显的优势。

At last,we use these feature regions to construct affine invariant s,based on affine geometry invariant property.

利用仿射区域划分获取一组扩展质心集合作为图像特征点集；求解特征点集的凸包，根据扩展质心的性质将凸包顶点均匀组合成若干特征区域；利用仿射几何性质构造了有效的仿射不变量。

Typical remote imaging distortions are analyzed firstly. For sea area optical images, a Convex Hull of Extended Centroids target global invariant feature extraction method is proposed based on affine geometry theory.

论文在分析成像畸变误差的基础上，针对海域光学遥感图像数据，提出了基于仿射几何理论的扩展质心-凸包目标全局不变特征提取方法。

Compared with the invariant features of single parameter group, entirely global affine invariant features are more applicable, and chapter 4 introduces a new global affine invariant feature extraction method called EC-ARC, which is based on the invariance in affine geometry.

然后，提出了扩展质心(Extended Centroid， EC)和仿射区域划分(Affine Region Cutting， ARC)的新概念，并在EC和ARC的基础上，结合仿射几何性质，提出了构造具有完全仿射不变性的特征提取方法EC-ARC。

Proves by matrix technique and ways that affine Unitary groups have double transition on the affine maximal and deseribes the total isotropic subspaces over affine Unitary geometry and their orbits and the use of affine maximal and total isotropic subspaces to construct several classes association scheme and PBIB designs, and the calculation of all parameters as well.

利用矩阵的技巧和方法，证明了仿射酉群双可迁地作用在仿射酉几何中的仿射极大全迷向子空间上，并且给出了轨道的明确表示。作为该理论的一个应用，利用仿射酉几何中的极大全迷向子空间的全体作为处理集构作了一个多个结合类的结合方案和PBIB设计，并计算了所有的参数。

Thismethod adopted affine transformation model and a Lie derivative-based analytical algorithm.We introduced the process and characters in extracting information of biological visionsystem, studied the feasibility of the generalized Gabor function used as receptive fieldfunction in extracting information and analyzed affine transformation group and Liederivatives. Finally, we deduced the mathematical denotation for Lie derivatives, i.e. theinfinitesimal generator of the geometric distortion in affine transformation.

对生物视觉信息提取的过程及特点进行了介绍，其中主要研究了广义Gabor函数作为感受野函数提取初级视觉信息的可行性；对仿射变换作为外界图像信息在视觉成像系统上的投影模型的原理进行了初步讨论；对Lie变换群微分算子用于提取仿射变换不变量的分析方法作了剖析，并推导了该方法中关键部分——仿射变换Lie微分算子的具体表达式，也就是几何变形无限小微分算子的计算表达式，使下一步编程实现该方法成为可能。

SIFT（Scale Invariant Feature Transform） local feature is chosen because of its scale invariance and the property of accurate key-point localization.The Euclidean distance between different SIFT feature vectors is defined as the measure of similarity to get the pre-matched key-point pairs.The affine transform model is used to realize the registration.In order to get the accurate affine transform parameter,the principal of affine transform error is used to get rid of mismatched key-point pairs from the pre-matched pairs.

该方法选取具有良好尺度、旋转不变性以及精确特征点定位能力的SIFT局部特征，使用其特征向量间的欧氏距离作为相似性度量进行特征点匹配，并依据仿射变换误差准则去除奇异匹配特征点对，采用仿射变换的几何模型，实现了遥感图像的快速自动配准。

Convex body; star body; Brunn-Minkowski inequality; dual harmonic quermassintegrals; dual affine quermassintegrals; dual mixed bodies; affine surface area; isotropic measure

基础科学，数学，几何、拓扑凸体；星体； Brunn-Minkowski不等式；对偶调和均质积分；对偶仿射均质积分；对偶混合体；仿射表面积；迷向测度

Convex body; star body; polar body; inequality; extremum; i—th width integral of convex body; mixed width-integral of convex bodies; mixed chord-integrals of star bodies; affine surface area; mixed affine surface area; mixed projection body; mixed body; L_p-projection body; L_p-centroid body

基础科学，数学，几何、拓扑凸体；星体；极体；不等式；极值；凸体i-次宽度积分；凸体混合宽度积分；星体混合弦长积分；仿射表面积；混合仿射表面积；混合投影体；混合体； L_p-投影体； L_p-质心体

In Chapter 1,we recall the history of the motions of curves and surfaces in briefly.

S~2，S~3和仿射几何中的曲面形变是本文第二章的主要内容。

与仿射几何相关的网络解释 [注：此内容来源于网络，仅供参考]

geometry of affine connection：仿射联络几何学

几何(学) geometry | 仿射联络几何学 geometry of affine connection | 联络几何学 geometry of connection

general affine differential geometry：一般仿射微分几何(学)

general affairs事务, 总务 | general affine differential geometry一般仿射微分几何(学) | general agent n.总代理

general affine differential geometry：一般仿射微分几何

general advice 一般的助言 | general affine differential geometry 一般仿射微分几何 | general afforestation 普遍造林

affine geometry：仿射几何

自从古希腊数学家欧几里德(Euclid)创立其欧氏几何(Euclidean Geometry)后,欧氏几何一直主宰西方几何数百年,直至文艺兴时期之后才开始陆续出现其它几何学,如射影几何(Projective Geometry)、仿射几何(Affine Geometry)、相似几何(Similar Geometry),

geometry, affine Desarguesian：迪舍氏仿射几何

有限投影几何 geometries projective finite | 有限欧氏几何 geometries, Euclidean finite | 迪舍氏仿射几何 geometry, affine Desarguesian

affine space：仿射空间

affine geometry 仿射几何 | affine space 仿射空间 | affine transformation 仿射变换

affine transformation：仿射变换

仿射变换(Affine Transformation)和图象卷绕(Image Warping)是两类常见的几何运算. 前者属于射影几何变换,多用于图象配准(Image Registration)作为比较或匹配的预处理过程;后者用控制点及插值过程来定义,将一幅图象逐渐变化到另一幅图象的图象变形(Morphing)过程是其典型的应用,

Euclidean geometry：欧氏几何

自从古希腊数学家欧几里德(Euclid)创立其欧氏几何(Euclidean Geometry)后,欧氏几何一直主宰西方几何数百年,直至文艺兴时期之后才开始陆续出现其它几何学,如射影几何(Projective Geometry)、仿射几何(Affine Geometry)、相似几何(Similar Geometry),

rot：旋转

计算中假定仿人模型受到单向宽射线束(或平面平行束)照射,照射几何条件分前向(AP)照射、背向(PA)照射、侧向(LAT)照射、旋转(ROT)照射和各向同性(ISO照射.

affinely independent：仿射无关

仿射微分几何 [学]|affine differential geometry | 仿射无关|affinely independent | 仿射性质|affine property