查询词典 mean curvature

At first, three requirements of image denoising are proposed, based on which the defect of the fidelity term used in the mean curvature motion model and that in the total variation based image denoising models are investigated.

在讨论了图像去噪的3个基本要求的基础上，总结了平均曲率运动去噪模型和总变差去噪模型中利用保真项的不足。

Some properties of the pseudo umbilical surface M in R 4 are discussed and thus the lower for the tolal mean curvature of M is estimated.

本文研究了伪脐曲面M的一些性质，基于它并利用M的Gauss映射，给出了M作为R4中平坦环面的一个充分条件。

In the near future, we will consider the analogous motion of level sets by mean curvature with adding a nonnegative weight function, and then investigate the various geometric properties and pathologies of this evolution.

在久的将，我们将进一步地研究附加非负加权函数的平均曲对於空间中等值曲线的影响，并探查在此演变下多样性的几何性质与为特徵。

We prove that the compact hypersurfaces and the hypersurfaces with constant mean curvature must be totally geodesic.

紧致超曲面以及常平均曲率超曲面的全测地性质。

In the second chapter, we study a pinching theorem for submanifolds of locally symmetric space with parallel mean curvature .

第二章节是关于局部对称空间中具有平行平均曲率向量子流形的pinching定理，设M是局部对称空间N~中一个紧致子流形。

This dissertation is devoted to the global existence and quench ing phenomena of the solution to a nonlinear parabolic equation of the mean curvature type and the blow-up conditions to another nonlinear parabolic equation.

本文研究了一类平均曲率型抛物方程解的整体存在性和解的熄灭现象及一类非线性抛物方程解的爆破条件。

There have been many good results when M is minimal sub manifold. In the first section we will introduce the context and make a general description on the recent researches. In the second we will introduce the complexion of the development for this problem. In the fourth we\'ll discuss the second gap on special conditions using similar methods when the mean curvature is constant, and find the second gap.

关于极小子流形的间隙问题已经有了很多好的结果，第一节引言中我们将介绍本文的研究背景及这些主要结果，第二节中我们来介绍具有常平均曲率情形的间隙问题的发展现状，在第四节中我们用类似的方法讨论平均曲率为常数的紧致超曲面的第二间隙问题，得到了第二间隙δ=？

In this dissertation, incorporating the level set algorithm, the gradient projection method, the nonlinear mapping technique, the return mapping algorithm and the mean curvature flow technique into topological optimization theory, a level set algorithm for topology optimization with multi-material structures is put forward, which can optimize a problem with general objective functions, multi-constraints, multi-materials and multi-load cases.

同时，又将拓扑导数理论和水平集算法结合起来，提出了结构拓扑优化的拓扑导数与水平集算法，进一步提高了计算效率。

Endowed with a Riemannian metric derived from the gray scale information of a given image, the image space became a Riemannian manifold. On this Riemannian manifold, we evolved a curve by the mean curvature flow using the level set methods.

在图像空间上直接赋予一种由图像灰度信息导出的黎曼度量，使之成为黎曼流形，然后在此黎曼流形上利用水平集方法对曲线以平均曲率流进行演化。

In this article,we mainly study the space-like submanifolds with parallel mean curva-ture vector,constant scalar curvature or constant square length of the second fundamental form,respectively.We obtain some pinching theorems and rigidity results by estimating Laplace of the square length of the second fundamental form of the such submanifolds and using yaus maximum principle or Stokes Theorem.

本论文主要研究de Sitter空间中具有平行平均曲率向量、常数量曲率或第二基本形式模长平方是常数的三类类空子流形，并通过分别估计三种情形下子流形的第二基本形式模长平方的Laplace，利用Yau的极大值原理和Stokes定理，获得了这些子流形的一些拼挤定理和刚性定理。

After oxidation, pH value of the surface of carbon black has a specific relation with the volatile content.

氧化后炭黑表面的pH值与挥发分之间有一定的关系。

Knowing that such a person is warped and sinful; he is self-condemned.

因为知道这等人已经背道，犯了罪，自己明知不是，还是去做。