查询词典 geodesic curvature

Firstly, we introduce the technology of seismic geometric attribute for fault identification detailedly at home and abroad. Secondly we study the coherence, texture,curvature attribute and tricolor display technology of RGB to identify fault; In the part of coherence,we compare the traditional algorithms with model and actual data,mainly study the geometric structural tensor and wavelet multi-scale sub-frequency coherent algorithm; In the part of texture attribute, we introduce texture energy, texture contrast, texture entropy and texture homogeneity attribute.By merging texture attributes of different directions,the effect are more clear; In the part of curvature attribute,we study and analyze fractional-order curvature attribute's extraction and its application in fault identification; The RGB display technology mainly introduces how to merge multi-attributes in order to getting more richer and more clearer information.

首先具体先容了地震几何属性识别断层技术的国内外研究现状；然后分别研究了相干属性、纹理属性、曲率属性和RGB三原色显示技术来识别断层；其中相干属性通过模型和实际资料对传统相干体算法进行了对比，重点研究了几何结构张量相干体算法和小波多标准分频相干体算法；纹理属性主要先容了纹理能量、纹理对比、纹理熵和纹理一致性属性，通过对不同方向的纹理属性进行融合，效果更清楚；曲率属性重点分析了分波数曲率属性提取及其在断层识别中的应用；RGB三原色显示技术则主要先容了如何进行多属性融合来或得更丰富、清楚的信息，在此基础上开发了基于。

A systematic study on computing the integral curvature line on NURBS surface is presented. Discrete normal is used to simplify calculation of the second fundamental form of the surface, resulting in accelerating the Euler iteration process in solving the differential equation of curvature line. Discrete points on the curvature line are then obtained and approximated by an explicitly presented B-spline curve on the NURBS surface using singular mixed interpolation and capable of controlling the error within a given tolerance.

对NURBS曲面的曲率线的积分进行了系统的公式推导，并利用NURBS曲面的离散法向量有效地简化了曲面第二基本量的计算，加速了Euler法迭代求解曲率线微分方程的过程；在求得曲率线上的离散点集以后，应用奇异混合插值技术，在可控精度内把曲率线用显式直接表示为位于NURBS曲面上的B样条曲线。

Given a hyperbolic plane H2(-1)=,whose sectional curvature k is function K is the Gaussian curvature of the conformal metric g = e2ug ,then K satisfies the conformal Gauss curvature equation .

设H~2(-1)=是具常截面曲率k==1的双曲平面，其中B={∈R~2：x~2+y~2＜1}是单位圆盘，g=4(dx~2+dy~2)/(1-x~2-y~2)~2是所谓的Poincaré度量。考虑H~2(-1)上的共形形变度量？

From this viewpoint, we fulfilled to control the step-size with the curvature of integral curve. The step-size is smaller in calculating these points that the value of the curvature is bigger and the step-size is bigger in calculating these points that the value of the curvature is smaller, which is rather reasonable choice and is also a creative point in this paper.

从这个想法出发，在文中实现了以积分曲线的曲率控制步长大小的作法，在曲率大的点步长小，而在曲率小的点步长大，这是非常合理的选择，也是本文的一个创新点。

The line of curvature is relation to many basic conception with curve and surface, by which normal curvature and principal curvature are easier.

曲率线将曲线与曲面中的许多基本概念有机地联系起来，使得法曲率和主曲率的求解简单化。

A method for identifying the damage, using the influence line curvature of deflection differential values at a point before and after the damage is proposed, that is, when the moving load is in the area without the damage, the influence line curvature is zero, however when the moving load is in the area with the damage, the influence line curvature evidently increases and has the relationship with the positions of the damage points and the rigidity of the beam before and after the damage.

提出利用损伤前、后某一点的挠度差值影响线曲率来识别损伤的方法，即当移动荷载位于无损区域时，挠度差值影响线曲率为0，当移动荷载位于有损区域时，挠度差值影响线曲率明显增大，且与损伤点的位置、损伤前后的刚度有关。

Mean curvature ; gaussian curvature ; principal curvature ; mesh simplification ; virtual reality

平均曲率；高斯曲率；主曲率；网格简化；虚拟现实

In this paper an analysis has been made to some regions of magnetosphere, including the Nightside, Cusp and Duskside. By applying the Curvature Radius Method to the magnetic field data measured by four satellites of Cluster, the geometrical structure of Magnetic Field Lines, including the curvature radius, directions of curvature and normal of the osculating planes of the Magnetic Field Lines have been investigated.

本文采用曲率半径分析方法，结合Cluster立体探测的相关知识和背景，利用Cluster立体探测的优势，通过对Cluster 2001年的立体探测数据的研究，分析了磁层各区域的磁力线结构，包括背阳面、Cusp区以及昏侧，得出各区域中磁力线的曲率半径大小，曲率矢量以及磁力线密切面的法线矢量的方向。

The model for calculating the stability of the resonator containing a laser rod with curvature ends was developed,which was based on the transfer matrix theory of Gauss beam. The results from the numerical simulations on some typical resonators indicate that the laser rod with curvature ends can expand the stable region of plano-plano,plano-concave and plano-convex cavity notability;despite the laser rod with curvature ends can improve the stability of above mentioned cavities,it costs the effective mode volume.

计算结果表明，对于几类典型的谐振腔如平平腔、平凹腔，球面端面激光棒可以显著的扩展强热聚焦作用下的稳定工作范围；球面端面激光棒在提高约束稳定性和热稳定性的同时，通常是以牺牲有效模式体积为代价的。

Thus, to study tooth surface curvature is significant. However, from the published information, the curvature of face gear drives hasn′t been well studied until now. Based on the knowledge of differential geometry, a method for calculating principal curvature and principal directions for face gears is established, and thus the principal v...

文中利用微分几何原理推导了面齿轮传动的齿面主曲率与主方向，由此得出面齿轮传动中诱导法曲率的两个主值；开发了相应的程序；进行了实例计算；分析了传动中的主要参数对曲率的影响，所获得的结论对面齿轮传动的强度计算与分析具有参考价值

These rules reflect some inherent feature of self and nonself, and they are the basic detection criterion of GECISM.

这些规则反映了"自我"和"非我"的内在特征，是GECISM进行"非我"检测的判据。

Until today, the media from China and the outside world still uses the term "Post 89". Regardless to whether it is for commercial gimmick or convenience, everybody still remember "Post 89", a term which carries a strong Cantonese accent.

时至今日，国内外艺术媒体还是在沿用&后八九&这个称谓，不管当初是为了商业噱头还是容易上口好记，反正大家现在是记住了&后八九&这个广东口音很重的词。