平均曲率(mean curvature) 是微分几何中一个“外在的”弯曲测量标准,局部地描述了一个曲面嵌入周围空间(比如二维曲面嵌入三维欧几里得空间)的曲率。 平均曲率是空间上曲面上某一点任意两个相互垂直的正交曲率的平均值。如果一组相互垂直的正交曲率可表示为K1,K2,那么平均曲率则为:K = (K1 +K2 ) / 2。
平均曲率半径 [数] mean radius of curvature ; men rdius of curvture
曲面的平均曲率 mean curvature of surface
平均曲率流 Mean Curvature Flow ; mean curvature vector flow
联合平均曲率 [数] allied mean curvature
平行平均曲率向量 parallel mean curvature vector
定值平均曲率的曲面 surface of constant mean curvature
平均曲率H mean curvature
平均曲率与高斯曲率 mean and Gaussian curvature
An attemptalso be take to the constant rank property of the level set of some prescribed mean curvature hypersurfaces.
本文亦对预定平均曲率超曲面的水平集的常秩定理作了尝试。
参考来源 - 椭圆偏微分方程解的水平集的凸性Comparing with other methods, the proposed algorithm decrease the mean curvature model parameters from 27 to 17, thus lowering the computational complexity. Simulation results show the good performance of our method.
该方法与其它方法相比,平均曲率模型参数个数少,计算量小,仿真效果好。
参考来源 - 从三维点云数据中提取物体特征点的研究·2,447,543篇论文数据,部分数据来源于NoteExpress
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.
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.
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.
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