曲率

The normal and curvature are significant geometry information for 3D point clouds.

差分坐标以其相关之拉普拉斯运算子在三维数位几何模型上已有许多的研究及应用，顶点的差分坐标计算是由顶点与拓扑上之相邻点的相对位置关系所求得，因此顶点之差分坐标代表了区域曲面起伏变化情况，差分坐标其方向会近似於区域法线方向而其长度会近似予区域平均曲率，此两项资讯为点云资料重要几何资讯。

Estimation of the normal and curvature on meshes with good precision and rapidness is the foundation of many applications, such as characteristic detecting, partitioning, simplification, smoothing, distortion, reconstruction on mesh.

精确、快速地计算网格曲面的法向量和曲率等微分量是众多离散曲面应用的重要基础，对网格曲面的特征提取、网格分割、网格简化、网格光顺、网格变形、网格重建等处理过程均有重要的作用。

Then, an algorithm of mesh smoothingcan be obtained by moving every vertex along the direction determined by themean curvature normal with speed defined by the new predictor.

并根据该预测子和平均曲率法向，给出了三角网格的双边滤波光滑算法。

In the last part of this dissertation, we discuss how to model an image is discussed and how to segment an image by EDEK.Zero-Cross principle is a classical concept in signal processing. We generalize the concept to be zero normal curvature after the geometry frame built. Furthermore, we present the explanation to choose the dual parameters in SPMVIF. And we research why the Laplacian gradient superior to edge gradient.

梯度方向二阶导数过零原理是信号处理中的经典结论，在运用微分几何的知识建立SPMVIF的几何框架的同时，将这个结论推广到零-法曲率的形式；另外我们对SPMVIF的双参数选取规则进行了讨论并给出它们的几何意义，并且对SPMVIF中法向矢量选取时拉普拉斯梯度优于边缘图像梯度的结论给予统计信息熵的解释。

As a result,the tooth profile equations, helix angle equations,limit curve equations and induced normal curvature equations for worm and internal gear are obtained.

介绍了一种新型的传动机构超环面行星蜗杆传动，运用啮合理论的包络法建立了这种传动中行星轮与蜗杆、行星轮与内齿轮啮合的基本方程，进而得到了蜗杆和内齿轮的齿面方程、螺旋升角方程、界限曲线方程及诱导法曲率方程等。

Less curvature is required to produce the buried-focus effect for offset traces than for traces at normal incidence.

非零偏移距记录道产生地下焦点效应比法线入射记录道所需的曲率要小。

A unit vector normal to the plane of T and N , which is the plane of curvature.

B垂直于 T 和 N 所构成的平面的单位向量，该平面为曲率所在的面。

A unit vector normal to the plane of T and N, which is the plane of curvature

B 垂直与平面 T 和 N 的单位向量，即面的曲率

Curvature in the curved barbell varies from nearly straight to circular, with some actually like a nose ring in design.

在弯曲的曲率变化杠铃直接从近圆形，其实像一些在设计鼻子环。

The clinical diagnosis of retinoblastoma is usually established by examination of the fundus of the eye using indirect ophthalmoscopy.

诊断/检测。临床诊断视网膜母细胞瘤通常通过使用间接的测眼膜曲率术检查眼底而实现。

They weren't aggressive, but I yelled and threw a rock in their direction to get them off the trail and away from me, just in case.

他们没有侵略性，但我大喊，并在他们的方向扔石头让他们过的线索，远离我，以防万一。

In slot 2 in your bag put wrapping paper, quantity does not matter in this case.

在你的书包里槽2把包装纸、数量无关紧要。