高斯曲率

During the process of model smoothing, there is an uncertain weight threshold, which is discussed in detail for scientific evaluating.2. In the part of "3D Model Segmentation", the vector of Gauss-Mean curvature, that of Max-Min curvature, that of RMS-Absolute curvature are compared through their performances in segmentation.

在三维模型分割方面，对高斯-均值曲率向量、最大-最小曲率向量、RMS-绝对曲率向量等三种特征向量在分割中的性能，以及指定聚类数目对分割结果的影响通过试验进行了比较。

But the ruled surfaces in R^3 or R(superscript 3 subscript 1) have vanishing Gauss curvature if and only if they are developable.

这与低维情形绝然不同，在R^3或R(上标 3 下标 1)中只有当直纹面是可展时，高斯曲率才为0。

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。

For generalizations of Gauss curvature to higher-dimensional

有高斯曲率在高维

The problem that the conformal Gauss curvature equation may have a solution for every nonegative Holder continuous function K is also an open problem.

当预定的函数K取正值时，共形高斯曲率方程解的存在性命题作为一个猜测至今未得到解决。

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。

Then we give the linear expression of,by f,g.h:=-f;=ρ·g,here ρ is the Gauss curvature of the Riemann manifold,wealso give the geomety explaination and geometrical pattern of these expressions.

给出了与对于f，g，h线性分解的形式。＝-f；＝-ρg，这里ρ是曲面的高斯曲率。并给出了各自几何意义的解释与图示。

It is noted that control varies of velocity and angular velocity are defini ed by structure equations and Gaussian curvature.

指出速度控制变量和角速度控制变量完全由结构方程和曲面的高斯曲率决定。

Taking gauss curvatures and normal vectors as random variables, Lorentz Curve was extended to 3D Lorentz Surface.

以高斯曲率和法向量为随机变量，将洛伦兹曲线扩展为三维，得到洛伦兹曲面。

According to the spline theory we presented a shape matching algorithm based on the similarity matrix of curvature and torsion values of 3D curve, we reduced the 3-D curve matching task into a 1-D string matching problem, which makes the matching more veracious and can be used on the 2D or 3D curve matching.

周期性离散曲率函数具有和原有曲率相似的位移、旋转、缩放等特性，为提高匹配的准确度，利用高斯函数进行平滑处理，取得了较好的结果，同时该方法具有直观、速度快等优点，在2D轮廓曲线的匹配中，具有实用可靠的用途。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。