The relation between DEM terrain representation error (E_t) and the variation of DEM resolution (R) and mean profile curvature (V) is studied.
对数字高程模型(DEM)的地形描述误差(Et)与空间分辨率(R)和平均剖面曲率(V)的关系进行研究,得到地形描述误差的均方差值与R、V的函数关系公式:RMSEt=(0。
Study on hypersurface with constant mean curvature in sphere;
球面上的常平均曲率超曲面
The properties of a riemannian foliation with parallel mean curvature on a Riemannian manifold;
常曲率空间中具有相同常平均曲率的黎曼叶状结构的一些性质
The classification of space-like surfaces with parallel mean curvature vector of an indefinite space form;
不定空间形式中具平行平均曲率向量的类空曲面(英文)
This paper proves that, within the general parameters of surface, by the Gauss equation and the average equation, the average curvature expressed as a constant is either plane or spherical surface, Also, it provides proofs of the basic forms (Types Ⅰ and Ⅱ) of the surface, and of the expression of Codazzi equation while the parameter curve of the surface represents the grid of the curvature line.
在曲面的一般参数下，利用 Ｇａｕｓｓ方程的表达式证明了平均曲率为常数的曲面或者是平面，或者是球面；同时证明了曲面的参数曲线取曲率线网时，曲面的第Ｉ、Ⅱ基本形式及Ｃｏｄａｚｚｉ方程的表达式。
In the terrain match algorithm, the terrain is divided into different areas according to the average curvature of the terrain.
在地形匹配算法中,依据地形平均曲率划定地形范围,地形平缓的地带采用两点匹配法,变化较为剧烈的地带采用三点匹配法。
This paper mainly proves the function relationship between the Goss curvature and the average curvature of curved surface vs.
本文主要论证了曲面与其平行曲面的高斯曲率和平均曲率间的函数关系式,从而进一步讨论了曲面与其平行曲面间的相关性质。
We prove a Bernstein type theorem for constant mean curvature hypersurfaces in R~(n+1) under certain growth conditions for n≤3.
我们在一定的增长性条件下及在支撑函数为正的假设下对于R~(n+1)中的常平均曲率超曲面证明了一个Bernstein型定理,其中n≤3。
The Completely Equal Curvature of Tubular Surface on Viviani s Curve;
Viviani曲线上管状曲面的全平均曲率
The Complete Hypersurface with Constant Mean Curvature in the Quasi Constant Curvature Space
拟常曲率空间中具有常平均曲率的完备超曲面
Hypersurfaces with Constant Mean Curvature in a Riemann Manifold with Constant Curvature and with Quasi Constant Curvature;
常曲率和拟常曲率Riemann流形中的常平均曲率超曲面
On Submanifolds with Parallel Mean Curvature Vactor in Space Forms;
关于平行平均曲率向量的子流形(英文)
Pseudoumbilical Submanifolds with Parallel Mean Curvature Vector;
具有平行平均曲率向量的伪脐子流形
Some Hypersurfaces in a Conformally Flat Lorentzian Manifold with Constant Mean Curvature
共形平坦Lorentz空间具常平均曲率的一类超曲面
Campact Hypersurfaces with Constant Mean Curvature in Riemannian Manifolds with Parallel Ricci Curvature
Ricci曲率平行的黎曼流形中具有常平均曲率的紧致超曲面
Mean Curvature Flow with Bounded Gauss Image in De Sitter Space;
de Sitter空间具有有界Gauss像的平均曲率流
Eigenvalues of Laplacian Operator Under Mean Curvature Flow
平均曲率流下拉普拉斯算子的特征值
Weierstrass Representation for Surfaces of Prescribed Mean Curvature in the 3-Dimensional Heisenberg Group;
三维Heisenberg群中给定平均曲率曲面的Weierstrass表示
Hypersurfaces with Constant Mean Curvature in Locally Symmetric Space;
局部对称空间中具有常平均曲率的超曲面
A Bernstein Type Result for Constant Mean Curvature Hypersurfaces;
一个关于常平均曲率超曲面的Bernstein型结果
Compact Hyper-surface with Constant Mean Curvature in Locally Symmetric Manifold;
局部对称黎曼流形中的常平均曲率紧致超曲面
A Theorem for Hige Order Ccnformal Mean Curvature on Supresurface and Its Application;
关于超曲面高阶共形平均曲率的一个定理
Gap Theorems of Hypersurface with Constant Mean Curvature in a Unit Sphere
单位球面内常平均曲率超曲面的间隙性
Space-Like Hypersurfaces with Constant Mean Curvature in Static AdS Space-Times
静态AdS时空中的常平均曲率类空超曲面
On Pinching Theorem of Sectional Curvature on a Hypersurface with Constant Mean Curvature in Locally Symmetric Quasi-constant Curvature Space;
局部对称拟常黎曼流形中常平均曲率超曲面的截面曲率的Pinching定理
On Pinching Theorem of Sectional Curvature on a Hypersurface with Constant Mean Curvature in a Locally-Symmetric Space;
关于局部对称空间中常平均曲率超曲面的截面曲率的Pinching定理