介绍了具有常数平均曲率的超曲面的稳定性概念。
In this paper, the notion of stability of hypersurfaces with constant mean curvature was considered.
介绍了具有常数平均曲率的超曲面的稳定性概念。
Study on hypersurface with constant mean curvature in sphere;
该系统还可修正干涉仪的误差、测量波面平均曲率等。
The system is also capable of correcting errors caused by interferometers and measuring average wavefront curvature.
平均曲率；
引入积分绝对平均曲率来描述可定向闭曲面的平均弯曲程度。
Integral absolute mean curvature is introduced to describe average curving of an orientable closed surface.
研究拟常曲率黎曼流形中具有平行平均曲率向量的紧致子流形。
The compact submanifolds in quasi constant curvature Riemannian manifolds with Parallel Mean Curature Vector were studied.
最后研究了常平均曲率完备超曲面，得到了这类超曲面全脐的一个结果。
At last the complete hypersurface with constant mean curvature in the quasi constant curvature space is investigated, some characterization of totally umbilical hypersurfaces are obtained.
本文将着重研究更为一般的具有平行单位平均曲率向量子流形的有关几何问题。
In the present paper, we mainly study the codimension reduction problems for submanifolds with parallel unit mean curvature vector in a sphere.
本文讨论黎曼流形里一般余维的常数平均曲率的子流形为全脐子流形的充要条件。
In this paper, we get a necessary and sufficient condition for a generalcodimensional submanifold with constant mean curvature in a Riemannian mani-fold to be a totally umbilical submanifold.
研究了拟常曲率流形中具有平行平均曲率向量的子流形，给出了两个积分不等式。
We study the submanifolds with parallel mean curvature vector in a manifold of quasi constant curvature, and give two integrate inequalities.
该文给出了基于主方向的平滑算法，并结合平均曲率流算法和法向滤波算法进行了改进。
The paper presents a smoothing algorithm based on the main direction combined with the mean curvature flow and the normal filter method.
本文主要提出了基于主方向的平滑算法，并结合平均曲率流算法和法向滤波算法进行了改进。
We present a smoothing algorithm based on the main direction combined with mean curvature flow and normal filter method.
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.
本文提出一种直接在点采样曲面上计算曲面的高斯曲率、平均曲率及主曲率等局部微分性质的方法。
An approach is proposed to estimate several differential properties, including Gaussian curvature, mean curvature and main curvature on point-sampled surfaces in presence of noise.
除了常见的几何测量(如距离和角度)外，提出了一种平均曲率能量的测量方法来描述边界曲线特征。
Besides common geometric measurements such as distances and angles, a new measurement of average curvature energy defined for boundary curve segment is included in the set to describe curve feature.
关于平均曲率运动，目前最常用的是水平集方法，这种方法虽然具有拓扑无关性的优点，但效率不高。
About the mean curvature motion, the most common method is the level set method at present. The advantage of this method is topology-independent, but its efficiency is poor.
本文研究了伪黎曼空间型中具有常平均曲率的类空子流形，得到了这类空子流形的一个积分不等式及刚性定理。
This paper discusses the space-like submanifolds with constant mean curvature in a pseudo-Riemannian space form, and obtain an integrate inequality and a rigidity theorem.
讨论局部对称空间中具有平行平均曲率向量的子流形，得到其关于第二基本形式模长平方的积分不等式的相关定理。
This paper discusses submanifolds with parallel mean curvature vector in local symmetric Spaces and obtains integral invariants about the square of modulus-length.
使得对拟常曲率黎曼流形中紧致子流形的研究由极小子流形和伪脐子流形情形扩展到具有平行平均曲率向量的情形。
The work makes the study of compact submanifolds in quasi constant curvature Riemannian manifolds extend from the especial case to general case.
本文讨论了Sasakian空间形式中具有平行平均曲率向量的C-全实子流形，得到了一个Simons型公式并且改进了S.Yamaguchi等的一个结果。
We have discussed the C-totally real submanifolds with parallel mean curvature vector of Sasakian space form, obtained a formula of J.
目的探讨平均角膜中央曲率与所制角膜瓣厚度之间的关系。
Objective To explore the relation between the average central corneal curvature and flap thickness.
在研究平均二次误差与曲面曲率关系的基础上，提出了变分辨率的曲面重建算法。
Based on study of relationship between the average quadric error and the surface curvature, a variable resolution surface reconstruction algorithm was proposed.
目的：探讨平均中央角膜曲率与制作的角膜瓣平均直径、角膜瓣蒂长度的关系。
Objective: To study the correlations among average central corneal curvature, average diameter of the flap and the length of the pedicel.
重点研究了平均流速、流动方向、曲率半径和管道直径等对冲蚀的影响。
The focus of the study lay in the relationship between the erosion and the average velocity, flow direction, the curvature of the elbow and so on.
重点研究了平均流速、流动方向、曲率半径和管道直径等对冲蚀的影响。
The focus of the study lay in the relationship between the erosion and the average velocity, flow direction, the curvature of the elbow and so on.
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