平均曲率

应用该方法，给出了一种四边形网格上任意顶点处的离散估计值的定义方法，主要包括离散的Gauss曲率和平均曲率的定义。

It includes the definition of discrete Gauss curvature and discrete mean curvature .

DeSitter空间中具有平行平均曲率向量的完备类空子流形

Complete space-like submanifolds with parallel mean curvature vector in de Sitter spaces

其中H表示M的平均曲率。

Where H is the constant mean curvature .

论保持平均曲率的黎曼测度Vm在欧氏空间E（m+1）的变形

On the deformation of a Riemannian metric v_m of class I which preserves the mean curvature

静态AdS时空中的常平均曲率类空超曲面

Space-Like Hypersurfaces with Constant Mean Curvature in Static AdS Space-Times

复空间形式■~（2n）（C）中不存在平行平均曲率向量的紧致全实子流形

Compact totally real submanifolds in a complex space form without parallel mean curvature vector

三维空间中Gauss及平均曲率相关的平移曲面

Translation Surfaces with Dependent Gauss and Mean Curvature in 3-Dimensional Space

三维Minkowski空间E1~3中的常平均曲率旋转曲面

Rotation Surfaces with Constant Mean Curvature in 3-dimensional Minkowski Space E_1 ~ 3

局部对称Lorentz空间中具有常平均曲率的完备类空超曲面

Complete space-like hypersurfaces with constant mean curvature in locally symmetric Lorentz spaces

最后研究了几何中两个重要的方程：Gauss曲率方程和平均曲率方程。

Finally , we investigate two important equations in Geometry : Gauss curvature equation and mean curvature equation .

对于模型中的稠密三角形区域则采用基于三角形平均曲率的MeanShift聚类方法对其进行分割。

Meanwhile , the dense regions in the model are also segmented by the mean shift clustering method performed on the mean curvature field defined on the mesh faces .

球面中常平均曲率超曲面的整体Pinching定理

Global Pinching Theorem for Hypersurfaces with Constant Mean Curvature in Sphere

针对三角网格提出了一种基于NURBS曲面拟合的计算Gauss曲率和平均曲率的算法。

This paper proposed a new algorithm to estimate Gauss and mean curvature on triangular meshes based on NURBS fitting .

常曲率和拟常曲率Riemann流形中的常平均曲率超曲面

Hypersurfaces with Constant Mean Curvature in a Riemann Manifold with Constant Curvature and with Quasi Constant Curvature

关于具平行平均曲率向量场的三维紧致子流形的Ricci曲率的Pinching问题

On Pinching Problem of Ricci Curvature for 3-dimensional Compact Submanifolds with Parallel Mean Curvature

用R，H和S分别表示Mn的规范化数量曲率，平均曲率和第二基本形式模长平方。

Denote by R , H and S the normalized scalar curvature , the mean curvature and the square of the length of the second fundamental form of Mn , respectively .

三维Anti-DeSitter空间中常平均曲率旋转曲面

Rotation Surfaces with Constant Mean Curvature in 3-Dimensional Anti-de Sitter Space

该流动用于图像去噪，实验结果表明，能够取得比（开关）平均曲率流更好的结果，与增强frost算法等相比也有明显的优势。

When used for grayscale image denoise , this new flow circumvents the ( switched ) mean curvature flow and shows advantages when compared to enhanced frost filtering .

3维双曲空间中给定平均曲率曲面的Weierstrass表示

Weierstrass representation for surfaces of prescribed mean curvature in the hyperbolic 3-dimensional space

关于Finsler子流形的平均曲率

On the Mean Curvature of Finsler Submanifolds

讨论一个含临界位势的广义平均曲率方程在Dirichlet边界条件下解的存在性。

This paper studies the existence of the solutions of a generalized mean curvature equation with critical potential under the Dirichlet boundary condition .

提出基于总体方差最小消去离散余弦变换DCT的方块效应，推导出水平集方程，用最小/最大曲率流替代水平集中的平均曲率流。

In this paper , minimization of total variation has been proposed via level set equation and average curvature flow has been substituted with Min / Max curvature flow .

使用Riemann侵没的方法，得到了关于紧致秩1对称空间中子流形的总平均曲率的积分不等式。

By means of Riemann submersion , the integal inequality on total mean curvature of closed submanifolds in symmetric spaces of rank 1 is given .

在文中，分别讨论了拉普拉斯平滑及其改进算法、平均曲率流、PDE方法及基于方向的平滑算法。

In this paper , we discuss Laplacian smoothing and modified methods , mean curvature flow , PDE method and the smoothing method based on directions .

还证明了当M是紧致无边定向的n维连通的Einstein流形，f：M→S~（n+p）（？）是等距迷向浸入，使，f（M）的平均曲率为常数H。

Another theorem is proved too : Let M be an n-dimensional compact Einstein manifold and f : M → S ~ ( n + p )( C ) is isotropic immersion with constant mean curvature .

著名的Ros不等式的一个重要推论就是关于著名的Alexandrov定理的精彩证明：嵌入E~3中的平均曲率为常数的紧致闭曲面一定是球。采用什么标准评价？

We will use the Ros ' inequality to reprove the theorem of Alexandov : the only compact embedded surfaces of constant mean curvature in E ~ 3 are the standard spheres .

则M~n位于Sp~（n+p）的一个n+1维全测地子流形S1~（n+1）中，这里S和H分别是M~n的第二基本形式模长平方和平均曲率。

Then Mn lies in an ( n + 1 ) - dimensional totally geodesic submanifold S1n + 1 of Spn + p , where 5 and H are the length square of second fundamental form and the mean curvature of Mn , respectively .

研究欧氏球面中具有平行平均曲率向量的紧致定向子流形，获得一个关于Ricci曲率满足处处大于或等于n-1+（n-1）H2+3n-2n（n-1）+2nHSn+1-nH2的条件下子流形的分类定理。

A closed oriented submanifold with parallel mean curvature vector field in a sphere is studied , and a Pinching theorem on the Ricci curvature of the submanifold is obtained .

本文主要构造三维Anti-DeSitter空间中单参数族的常平均曲率旋转曲面。

Abstract In this paper , we construct some 1-parameter families of rotation surfaces with constant mean curvature in a 3-dimensional Anti-de Sitter space .

研究了单位球面中平均曲率向量平行的子流形，得到了一个Simons型积分不等式。

The submanifolds with parallel mean curvature vectors in a unit sphere is studied . An integral inequality of Simons ' type is obtained .