Gauss curvature

Research on Algorithm of Searching Gauss Curvature Contours of Sculptured Surface

自由曲面等高斯曲率线的算法研究

Improved PM Model Based on Gauss Curvature

基于高斯曲率改进的PM模型

Rotational Surface With Given Gauss Curvature Function of the Fourth Order

高斯曲率为已给四次函数的旋转曲面

Surfaces of Rotation About Given Gauss Curvature Function in R ~ 3

R~3内给定Gauss曲率函数的旋转曲面

It includes the definition of discrete Gauss curvature and discrete mean curvature .

应用该方法，给出了一种四边形网格上任意顶点处的离散估计值的定义方法，主要包括离散的Gauss曲率和平均曲率的定义。

Finally , we investigate two important equations in Geometry : Gauss curvature equation and mean curvature equation .

最后研究了几何中两个重要的方程：Gauss曲率方程和平均曲率方程。

Gauss curvature numerical method for ship 's shell-plating expansion

GAUSS曲率数值计算及其在船体外板展开中的应用

The Application of Gauss Curvature

关于曲面的高斯曲率的应用

Special Surfaces about the Gauss Curvature to be a Quadratic Function in 3 - Dimentional Minkowski Space

三维Minkowski空间中高斯曲率为已给二次函数的几个特殊曲面

An algorithm of Gauss curvature on free-surface

自由曲面的高斯曲率计算方法

Based on the study of relationship between local normal change of surface and the Gauss curvature , the paper proposed a surface reconstruction algorithm with variable resolution .

在研究曲面局部法向变化量与高斯曲率关系的基础上，提出了一种基于法向变化量的变分辨率曲面重建算法。

Applying this rule , we give a kind of definition of discrete Gauss curvature and mean curvature on the discrete parametric curves net .

应用这种加细方法，我们给出了一种针对由离散参数曲线网形成的四边形网格上任意顶点处的离散估计值的定义方法。

In this paper we discuss the existence of surfaces of rotation about given Gauss curvature function in R 3 and give the position vector field of these surfaces .

讨论了R3内给定Gauss曲率函数的旋转曲面的存在性问题并且给出了这类曲面的位置向量场。

This paper will prove that Gauss curvature method has a very good application prospect in reservoir fractures . SPLIT-PHASE METHOD It provides effective support for our building of rule of law .

应用结果表明，高斯曲率法是一种预测和评价构造裂缝分布规律的有效方法，具有很好的应用前景。

The improved model not only preserves zero gauss curvature structures , such as straight edges , curvy edges , corners , ramp and small-scaled features and edge , but also enhances the sharp edge .

新的模型不但可以保持零高斯曲率的图像特征，如：直线边缘、曲线边缘、角点、斜坡和小尺度特征，还可以增强尖锐的边缘。

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。

In this paper the geometric characteristic of the curved surface under the condition of the spatial vertical angle coordinate system is directly described , i.e. , the product of reciprocal of the two principal radius of the curved surface is Gauss curvature and it is an inner geometric quantity .

就曲面在空间直角坐标系下的几何特性作了一个直观的描述，即曲面的两个主曲率半径倒数之积为Gauss曲率并且它是一个内在几何量。

Gauss curvature numerical calculation is performed by dividing curved shell surface into smaller ones according to water lines and section lines , and then examining the developability of the smaller surfaces , on the basis of which the developability of the larger surface can consequently be determined .

Gauss曲率的数值计算是：把船体曲面按照水线和分段线划分成若干小块曲面，判别每一个小块曲面的可展性可推广到较大曲面的可展性。

Translation Surfaces with Dependent Gauss and Mean Curvature in 3-Dimensional Space

三维空间中Gauss及平均曲率相关的平移曲面

This paper proposed a new algorithm to estimate Gauss and mean curvature on triangular meshes based on NURBS fitting .

针对三角网格提出了一种基于NURBS曲面拟合的计算Gauss曲率和平均曲率的算法。

At first , we construct a stimulant digital elevation model by a certain resolution in gauss surface and calculate gauss curvature of each grid point , which is regarded as true value to terrain simplification index .

首先对数学曲面（高斯合成曲面）按一定分辨率建立模拟DEM，由高斯曲面函数的数学表达式解析得到真实反映格网点附近表面形状变化的真值，即高斯曲率；