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1·The gaussian curvature of no . 3 coal seam in qinshui basin is calculated.

计算了沁水盆地3号煤层的高斯曲率。

2·The way and principle of Gaussian curvature method for forecasting natural fracture zones in coal seam are discussed.

论述了高斯曲率法预测煤层天然裂隙发育区的基本原理和方法。

3·Image can be regarded as curved surface, and Gaussian Curvature can be used to describe the curves degree of curved surface relative to ball.

图像可以看作是一个曲面，描述曲面上某点相对于球面的弯曲程度可以用高斯曲率。

4·Some estimates of Gaussian curvature of conformal metric of mini mal surfaces immerse in the manifold of quasi-constant curvature were obtained.

给出了拟常曲率流形中极小曲面的共形度量的高斯曲率之上界估计。

5·Some estimates of Gaussian curvature of conformal metric of 2-dimensional minimal submanifold immerged in 2 + p-dimensional manifold of quasi-constant curvature were obtained.

给出了拟常曲率流形中二维极小子流形的共形度量的高斯曲率之上界估计。

6·An approach is proposed to estimate several differential properties, including Gaussian curvature, mean curvature and main curvature on point-sampled surfaces in presence of noise.

本文提出一种直接在点采样曲面上计算曲面的高斯曲率、平均曲率及主曲率等局部微分性质的方法。

7·It is concluded that the Gaussian curvature method can reflect the shape variation of coal seam curvature, and the method is effective to forecast natural fracture zones in coal seam.

分析表明，高斯曲率法可相对真实地反映煤层曲面形态变化，用该方法预测煤层天然裂隙发育区是切实可行的。

8·The discrete curvature arithmetic was used to extract feature points, which the curvature expression contains Gaussian nuclear function and chooses appropriate discrete scale factor.

提出用离散曲率法提取特征点，曲率表达式包含了高斯核函数曲线，选用了合适的离散尺度因子。

9·For a given cavity length, the parameters, including the curvature of reflector, waist radius and spot size on reflectors, are calculated according to the Gaussian profile.

按高斯光束分布计算出给定腔长的反射镜曲率半径、光腰及镜面处光斑尺寸等参量。