查询词典 integral curvature

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。

Applying this rule, a kind of the definition of the discrete estimated value on the quadrilateral net is given. 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。

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。

Thus, combining this work with Benekis work, we prove that there exist any type of helicoidal surface with mean curvature or Gauss curvature being any smooth function.

这样结合Beneki等人的工作，本文证明：三维Minkowski空间中，平均曲率或Gauss曲率为任意给定光滑函数的任意一类螺旋面都是存在的，并给出了具体的参数表达式。

But it operates on the triangle mesh of 3-D objects surface retrieved from range images, and calculates the value and sign of Gauss curvature according to the geometrical meaning of Gauss curvature in differential geometry, which merits are its accuracy and speed.

该方法在理论上没有从拟合表面、求表面偏导的传统思路出发，它使用从深度图像得到的三维物体表面的格网表示，直接根据高斯曲率的几何意义计算高斯曲率的大小和符号。

In Perona and Malik's anisotropic diffusion model, some small gradient information and noise will be diffused, but the small information point usually has zero gauss curvature. So this paper improves PM model by using the Gauss curvature.

在Perona和Malik的各项异性扩散方程的消噪模型中，一些小梯度的细节信息和噪声会被扩散掉，而在这些细节信息点往往具有零高斯曲率的特征，根据这一特点，对PM模型加以改进。

Gauss curvature method ; principal curvature method ; reservoir fracture ; Biyang Depression

高斯曲率法；主曲率法；储层裂缝；泌阳凹陷

Curvature of Surfaces, Gaussian Curvature and the Gauss map, Geodesics, Minimal

行移动和测地线，最小曲面，高斯朋涅定理等。

Secondly, in this part, we will introduce the notation of average geodesic curvature for curves in the hyperbolic plane, and investigate the relationship between the embeddedness of the curve and its average geodesic curvature. Finally, we will employ the Minkowskis support function to construct a new kind of non-circular smooth constant breadth curves in order to attack some open problems on the constant width curves for example, whether there is a non-circular polynomial curve of constant width, etc.

其次，对双曲平面上的曲线引入平均测地曲率的概念，并讨论双曲平面上凸曲线的嵌入性与它的平均测地曲率之间的关系，其目的是为了将双曲平面上曲线的性质与欧氏平面中曲线的性质作一些对比；最后，我们利用Minkowski支撑函数构造了一类新的非圆的光滑常宽曲线，其目的是想回答有关常宽曲线的一些未解决问题如是否存在非圆的多项式常宽曲线？

Here, we will give an independent proof of the existence for inequality (2.1.3), and by the way, give an estimate on the width of the bi-enclosing annulus of closed convex curves in the plane. Secondly, in this part, we will introduce the notation of average geodesic curvature for curves in the hyperbolic plane, and investigate the relationship between the embeddedness of the curve and its average geodesic curvature.

其次，对双曲平面上的曲线引入平均测地曲率的概念，并讨论双曲平面上凸曲线的嵌入性与它的平均测地曲率之间的关系，其目的是为了将双曲平(来源：ABC论84文网www.abclunwen.com)面上曲线的性质与欧氏平面中曲线的性质作一些对比；最后，我们利用Minkowski支撑函数构造了一类新的非圆的光滑常宽曲线，其目的是想回答有关常宽曲线的一些未解决问题如是否存在非圆的多项式常宽曲线？

But this is impossible, as long as it is engaging in a market economy, there are risks in any operation.

但是，这是不可能的，只要是搞市场经济，是有风险的任何行动。

We're on the same wavelength.

我们是同道中人。