曲率向量

词组短语

curvature vector

与曲率向量相关的网络例句 [注：此内容来源于网络，仅供参考]

Some uniform formulae are established, which link the Laplacian of the position vector function to the mean curvature vector field on any submanifold in the space forms.

讨论空间型中的位置向量场，建立一组统一的公式，将子流形的平均曲率向量场与位置向量及其衍生函数的Laplacian联系在一起。

Let be a compact pseudo-umbilical submanifolds with parallel mean curvature vector in the quasi constant curvature space.

设Mn是拟常曲率空间Nn+p中具有平行平均曲率向量的紧致伪脐子流形，论证得到了这种子流形的两个内蕴积分不等式，从而给出了Mn是全脐子流形的两个内蕴充分条件。

Mesh fairness problem We propose the conception of discrete curvature vector for meshes, and suggest a new fairness criterion that a mesh is fair if changes in discrete curvature vectors of this mesh are gradual and uniform Based on this fairness criterion, two algorithms are presented.

网格的光顺问题本文提出了离散曲率向量的概念，并以其变化平稳均匀作为网格光顺的准则，这一准则兼顾了曲率大小及法向的变化。

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 Pinching problems are discussed on the sectional curvature of compact space-like pseudo-umbilical submanifolds M~n with parallel mean curvature vector in De Sitter space S~_p, and the theory of reduction of the codimension is obtained in De Sitter space through evaluating the Laplacian of square of the length.

讨论了De Sitter空间Snp+p中，具有平行平均曲率向量的紧致类空伪脐子流形Mn的截面曲率的拼挤问题，通过估计第二基本形式模长平方的Laplacian，得到了De Sitter空间中的余维数压缩定理。

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。

The discrete curvature vector based method to fair mesh by modifying vertex positions We first low-pass filter the discrete curvature vector function to make it change more gradually and uniformly, and then modify the vertex positions according the resulted function to improve the fairness of mesh.

以此为基础，给出了两个算法：网格改点光顺的离散曲率向量法基本思想是先用低通滤波算子修匀曲率向量，并由此修改顶点的位置以改善网格的光顺性。具体算法吸取了优化问题中Zoutendijk可行方向法的基本思想。

The relations among three parallel sections,such as parallel mean curvature vector fields, parallel isoperimetric section and parallel umblic section,on submanifolds in the constantly curved Riemannian manifolds R ~ are studied.

讨论常曲率空间Rn+p中子流形上三类平行截面：平行平均曲率向量场、平行等参截面、平行脐截面三者之间的相互关系。

Researches the submanifolds in nested space,for constant curvature Riemannian submanifold in quasi-constant curvature manifold and pseudo-umbilical submanifold with parallel mean curvature vector in constant curvature Riemannian submanifold,presents three sufficient conditions for this pseudo-umbilical submanifold to be total-umibilical submanifold,generalizes the result of JI Yongqiang.

对于拟常曲率流形中的常曲率黎曼子流形以及常曲率黎曼子流形中具有平行中曲率向量的紧致伪脐子流形，给出了这种伪脐子流形是全脐子流形的3个充分条件，推广了纪永强的相关结果。

与曲率向量相关的网络解释 [注：此内容来源于网络，仅供参考]

absolute curvature vector：绝对曲率向量

absolute convergence 绝对收敛 | absolute curvature vector 绝对曲率向量 | absolute deviation 绝对偏差

curvature tensor：曲率张量

curvature of a curve 曲线的曲率 | curvature tensor 曲率张量 | curvature vector 曲率向量

curvature vector：曲率向量

curvature tensor 曲率张量 | curvature vector 曲率向量 | curve 曲线

normal curvature vector：法曲率向量

normal curvature 法曲率 | normal curvature vector 法曲率向量 | normal curve 正规曲线

first curvature vector：第一曲率向量

第一曲率 first curvature | 第一曲率向量 first curvature vector | 一阶求导;一阶求微 first derivation

normal curvature：法曲率

normal correlation 正态相关 | normal curvature 法曲率 | normal curvature vector 法曲率向量

normal curve：正规曲线

normal curvature vector 法曲率向量 | normal curve 正规曲线 | normal density 正规密度