查询词典 relative curvature

Triangular mesh, normal vector, principal curvature, gaussian curvature, mean curvature

三角网格，法向量，主曲率，高斯曲率，平均曲率

During the process of model smoothing, there is an uncertain weight threshold, which is discussed in detail for scientific evaluating.2. In the part of "3D Model Segmentation", the vector of Gauss-Mean curvature, that of Max-Min curvature, that of RMS-Absolute curvature are compared through their performances in segmentation.

在三维模型分割方面，对高斯-均值曲率向量、最大-最小曲率向量、RMS-绝对曲率向量等三种特征向量在分割中的性能，以及指定聚类数目对分割结果的影响通过试验进行了比较。

This paper develops methods for tangent direction continuous (G1) and both tangent direction and curvature continuous (G2) interpolation of a range of points on surface with specified tangent and either a curvature vector or a geodesic curvature at every point.

给出了数据点的切方向(切方向及曲率向量或测地曲率值)指定而G1连续(G2连续)插值曲面上任意点列的方法。

The complete pseudo-umbilical submanifolds with parallel mean curvature vector in constant curvature space;2. In this paper,the pseudo-umbilical submanifolds with parallel mean curvature vector in pseudo-Riemannian manifold is discussed.

研究了伪黎曼流形中具有平行平均曲率向量的伪脐子流形，Npn+p为n+p维完备连通伪黎曼流形，它的截面曲率KN满足a≤KN≤b，Mn为Npn+p中紧致的具有平行平均曲率向量的伪脐子流形。

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。

Some geometric data of ellipse in hyperbolic space are considered,such as set inclusion,arc length,geodesic curvature,curvature,area and total curvature .

在双曲空间中，考察椭圆的包含关系，对弧长元素、测地曲率、曲率、面积及全曲率等几何量做出细致考察。

After analyzing the curvature of the forming surface and the relativ emotion between the forming surface and the curved tooth surface during envelope tooth cutting,the authors work out the equations for calculating the induced normal curvature and geodesic deflection,the principal curvature and direction of the tooth surface of this kind of circular-arc gear .

通过对产形面曲率和包络切齿时产形面与齿曲面相对运动关系的分析，推导出双向圆弧齿轮齿面的诱导法曲率、诱导短程挠率和齿面的主曲率、主方向等计算公式。

The method includes identifying (101) a surface in the image, and for each point in the image, calculating (102) a first curvature measure, forming (103) a set of rings of points about each point, each ring being of equal geodesic distance from a center point for the ring, calculating (104), for each ring, a standard deviation of the first curvature measure, and selecting (105) those rings with a minimum standard deviation for the first curvature measure.

该方法包括在所述图像中识别(101)表面；为该表面中的每个点计算(102)第一曲率量；为该表面中的每个点形成(103)围绕每个点的一组点环，每个环具有到该环的中心点的相等的测地距；为每个环计算(104)第一曲率量的标准偏差；以及选择(105)那些具有第一曲率量的最小标准偏差的环。

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？

The dissecting of samples in group2 were difficult. The root of pulmonary artery and ascending aorta failed to be unfolded because fibrous tissue was tough, right and left fibrous trigone were too firm to be solved by hand. Cardiac muscle fibers couldn't be stripped along myofibrillar trajectory since they were prone to break because of their friability.

组2的心脏解剖困难，表现为纤维组织坚韧，游离肺动脉非常困难；徒手无法松解左、右纤维三角，肺动脉和主动脉根部的游离非常困难；心肌纤维坚硬、质脆，解剖时容易断离成碎块，无法沿纤维走行方向剥离。

We have battled against the odds in a province that has become increasingly violent.

我们对在一个争夺日益激烈省的可能性。