平均曲率；
Study on hypersurface with constant mean curvature in sphere;
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。
Integral absolute mean curvature is introduced to describe average curving of an orientable closed surface.
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。
We present a smoothing algorithm based on the main direction combined with mean curvature flow and 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 have discussed the C-totally real submanifolds with parallel mean curvature vector of Sasakian space form, obtained a formula of J.
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。
The paper presents a smoothing algorithm based on the main direction combined with the mean curvature flow and the normal filter method.
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。
We study the submanifolds with parallel mean curvature vector in a manifold of quasi constant curvature, and give two integrate inequalities.
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。
In the present paper, we mainly study the codimension reduction problems for submanifolds with parallel unit mean curvature vector in a sphere.
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 this paper, we discuss Laplacian smoothing and modified methods, mean curvature flow, PDE method and the smoothing method based on directions.
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。
This paper discusses submanifolds with parallel mean curvature vector in local symmetric Spaces and obtains integral invariants about the square of modulus-length.
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 the space-like submanifolds with constant mean curvature in a pseudo-Riemannian space form, and obtain an integrate inequality and a rigidity theorem.
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。
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.
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。
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.
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。
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.
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。
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.
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。
The compact submanifolds in quasi constant curvature Riemannian manifolds with Parallel Mean Curature Vector were studied.
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 discrete curvature data were arranged; the mean and variance, as well as the arc-length, surface and angle of curved pieces were calculated.
对离散曲率数据进行处理，计算其均值和方差以及弧形件的弧长、夹角、面积等特征量。
It is verified that the measurement of the self-designed curvature sensor is correct, the error percent of peak-valley value (PV) is 10%, and the error percent of root mean square (RMS) is 2%.
制备的光栅型波前曲率传感器测量结果正确，峰谷值存在10%的误差，均方根值存在2%的误差。
It is verified that the measurement of the self-designed curvature sensor is correct, the error percent of peak-valley value (PV) is 10%, and the error percent of root mean square (RMS) is 2%.
制备的光栅型波前曲率传感器测量结果正确，峰谷值存在10%的误差，均方根值存在2%的误差。
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