平均曲率

词组短语

mean curvature · average curvature

与平均曲率相关的网络例句 [注：此内容来源于网络，仅供参考]

Chapter 2 introduces some propaedeutics of classic differential geometry, which include the first basic form, the second basic form, normal curvature, main curvature, mean curvature, Gauss curvature, unit normal vector, main vector, etc.

第二章介绍一系列的预备知识，主要是关于古典微分几何中第一，第二基本形式的定义，法曲率，主曲率，平均曲率，Gauss曲率，单位法向量，主方向等的定义。

The complete pseudo-umbilical submanifolds with parallel mean curvature vector in constant curvature space;2. In this paper,the pseudo-umbilical submanifolds with parallel mean curvature vector in pseudo-Riemannian manifold is discussed.

研究了伪黎曼流形中具有平行平均曲率向量的伪脐子流形，Npn+p为n+p维完备连通伪黎曼流形，它的截面曲率KN满足a≤KN≤b，Mn为Npn+p中紧致的具有平行平均曲率向量的伪脐子流形。

Based on this property, by solving a series ODEs we construct a two-parametric family of helicoidal surfaces under cubic screw motion with prescribed mean curvature or Gauss curvature and solve an open problem left by Beneki.

基于这一点，当螺旋面的平均曲率或Gauss曲率为给定光滑函数时，本文选取伪正交标架，使得两类螺旋面的平均曲率和Gauss曲率的表达式相对简化，通过求解一系列的非线性常微分方程，即可确定一族生成曲线，从而最终确定平均血率或Gauss曲率为给定光滑函数的双参数族螺旋面，并在这一过程中解决了Beneki等人留下的一个公开问题。

In this paper, we mainly discuss a kind of surfaces in4- dimensional Pseudo-Euclidean Space and give the classification of such surfaces with constant mean curvature and Gauss curvature.

文章研究四维伪欧氏空间中的一类曲面，给出了具有常平均曲率、高斯曲率及相关平均曲率和高斯曲率的这类曲面的分类。

Some properties of inversions are proved, It indicates that the inversion is conformal, the image of line of curvature is still the line of curvature of the inversion S of the hypersurface S, the principal curvature, the total curvature, and mean curvature of S are the functions...

在n-1维超曲面的反图变换中，示明反图变换为保角表示法，曲率线系的反影仍为反超曲面的曲率线系，反超曲面的主曲率，全曲率与平均曲率为原超曲面的主曲率的函数等。 3。最后导出公式(1)在四维空间与通常空间之特殊形式

Then, the first and second fundamental forms, Gaussian curvature and mean curvature of the surfaces are directly calculated according to the principles of differential geometry.

首先，根据微分几何中的基本知识，得到了该种度量形式下的平移曲面的第一、第二基本形式以及高斯曲率和平均曲率；然后，主要利用高斯曲率和平均曲率之间的线性关系和平方关系，得到了这类平移曲面的分类定理。

Then, based on the mean curvature, Gaussian curvature and the function of principal curvature, the minimal loci of the principal normal surfaces of curves, the curves with constant Gaussian curvature and the two curves of which the ratio of their functions is constant can all be obtained, as well as the properties of geodesic curve and lumbar curve.

再根据平均曲率、高斯曲率及主曲率函数，能得到曲线的主法线曲面的极小轨迹、常高斯曲率曲线及两个主曲率函数之比为常数的曲线。还给出曲面上测地线和腰曲线的性质。

The approach of solving mean curvature,Gaussian curvature and principal curvatures of general triangular mesh model was derived.Considering coarse triangular mesh model is often seen,in order to increase the precision of curvatures,combined with Loop subdivision algorithm,the curvature algorithm was further extended.

推导了一般三角形网格模型顶点的平均曲率、高斯曲率和主曲率的计算方法，考虑到经常遇到粗糙三角形网格模型，为提高其曲率计算方法的精度，结合Loop细分曲面算法，进一步拓展了该曲率计算方法。

Considering coarse triangularmesh model is often seen, in order to increase the p recision of curvatures,combined with Loop subdivision algorithm, the curvature algorithm was further extended.

推导了一般三角形网格模型顶点的平均曲率、高斯曲率和主曲率的计算方法，考虑到经常遇到粗糙三角形网格模型，为提高其曲率计算方法的精度，结合Loop 细分曲面算法，进一步拓展了该曲率计算方法。

Its implementation processes include:①to perform wavelet transform and frequency decomposition and reconstruction to gain the seismic data with high quality;②to adopt least square method to approach and fit the local secondary curved face, and compute the fit coefficients of the secondary curved face, then use these coefficients to gridding mapping bed plane to compute the average curvature and Gauss curvature, then, obtain other curvatures through the various linear combinations of the two curvatures above;③to generalize the curvature of the bed layer to compute and reconstruct the curvature volume.

其实现过程为：①对地震资料进行小波变换、分频重构，获得高质量的地震资料；②采用最小二乘法一次逼近，对局部二次曲面进行拟合，求取二次曲面拟合系数，并利用这些系数对网格化成图层面计算平均曲率和高斯曲率，再从两个曲率的不同线性组合，获取其他曲率；③将层面曲率推广，计算和重构曲率数据体。

与平均曲率相关的网络解释 [注：此内容来源于网络，仅供参考]

mean curvature of surface：曲面的平均曲率

mean curvature 平均曲率 | mean curvature of surface 曲面的平均曲率 | mean density 平均密度

mean curvature：平均曲率

连续性评估方法主要通过位置连续(Position),切平面(Tangent Plan).高斯曲率(Gaussian Curvature),截面曲率(Section Curvature)、平均曲率(Mean Curvature)和绝对曲率(Absolute Curvature)等;而曲面光滑性评估多采用反射线法、高光线法和等照度法等.

mean curvature：平均曲率,中曲率

axial curvature 轴线曲率 | mean curvature 平均曲率,中曲率 | tangential curvature 切面曲率

mean curvature：平均曲率运动

柔度差值曲率:Flexibility Difference Curvature | 平均曲率运动:mean curvature | 恢复力模型:Moment-curvature relationship model

parallel mean curvature：平行平均曲率

流线曲率法:the stream-curvature method | 平行平均曲率:parallel mean curvature | 曲率模态差:differences of curvature modal

parallel mean curvature metric：平行平均曲率

曲率延性系数:curvature ductility factor | 平行平均曲率:parallel mean curvature metric | 流线曲率法:the stream-curvature method

the mean curvature flow：平均曲率流

恢复力模型:Moment-curvature relationship model | 平均曲率流:the mean curvature flow | 曲率半径影响:influence of curvature radius

mean radius of curvature：平均曲率半径

平均海面归算 seasonal correction of mean sea level | 平均曲率半径 mean radius of curvature | 平均误差 average error

surface of constant mean curvature：定值平均曲率的曲面

定值;曲率的曲面 surface of constant curvature | 定值平均曲率的曲面 surface of constant mean curvature | 定值全曲率的曲面 surface of constant total curvature

surface of constant mean curvature：定值平均曲率曲面

11812,"surface of constant curvature","定值曲率曲面" | 11813,"surface of constant mean curvature","定值平均曲率曲面" | 11814,"surface of constant total curvature","定值全曲率曲面"