查询词典 surface tangent

The paper deals with curvature line and curvature characteristic of developable surface based on differential invariant of developable surface and it details curvature line and curvature characteristic of cone and tangent surface .

本文通过可展曲面的微分不变量，导出可展面的曲率线与曲率特征，并以锥面和切线曲面为例阐明这些特性的几何意义。

First, a map between the cones and tangent surface on C-Bézier curve und two-dimensional plane is found respectively and then a ruled surface between two Bezier curves is constructed and a sufficient condition on its developablity is given.

zier曲线上锥面、切线曲面的展开方法。然后，构造两条空间B？zier曲线上的直纹面，给出了它成为可展曲面的一个充分条件，并通过保角保长原则，将其贴合到平面上。

Based on subdivision of surface, a tangent plane method of calculating distance from point to free surface is put forward.

在拟合曲面细分基础上，提出切平面法快速求解点到自由曲面距离。

If a surface is curved, then tangent space rotates as you move along that surface.

如果给定表面被弯曲，那么切线空间将会跟着表面转动。

Suppose that is a point on a surface S with equation F=O and that the partial derivativesand are continuous and not all equal to zero at M, then the tangent plane to surface S at point M is given by

假设是方程所确定的曲面S上的一点，F的偏导数在该点连续且不同时为零，则曲面S在点M的切平面的方程是

Based on the principle of surface development in differential geometry, the method of development for cone and tangent surface is given. Cone is developed in the unit ball way.

锥面的展开是利用单位球方法，确定直母线与平面上过定点射线之间的映射关系，进而展开曲面；切线曲面的展开则利用准线曲率在展开中的不变性，确定准线在平面上的展开曲线，再作与之相切的直母线，从而实现曲面的展开。

Central part of the water on the inner surface just tangent with the impeller wheel, water ring coincides with the lower part of the inner surface contacts the top leaves (the leaves in the water in fact has a certain ring insertion depth).

水环的上部分内表面恰好与叶轮轮毂相切，水环的下部内表面刚好与叶片顶端接触（实际上叶片在水环内有一定的插入深度）。

Firstly, the developing principles of the cylindrical internal helical gear are proposed through analyzing the movement and geometry requirements, which provides continuous contact between the mating gear surfaces. The tooth surface of the internal helical gear in the new gearing can be imagined as being generated by the normal section of the conjugated surface of the ball-tooth, moving along the radial projection of helix line of the tooth-root circle. Also, the proposed surface can be approximate tangent to the conjugated surface of the ball-tooth along a spacial curve.

首先，通过分析保证行星轮作螺环运动时与内斜齿轮实现连续啮合传动的运动和几何条件，提出了圆柱内斜齿轮齿面的两种形成原理：即由球齿运动包络曲面的法截面沿其齿根圆螺旋线在径向的投影进行拓展所形成的内齿面，以及与球齿运动包络曲面呈近似相切接触的等螺距齿面构成的内齿面。

We construct the algorithm of three-dimensions model surface reconstruction in three stages: first, we use Oct-tree to describe scatter data points in space, second find adjacent points and tangent plane and use the triangulation method to realize 3D surface reconstruction in the end, in research on algorithm of three dimensions model surface reconstruction based on scatter data points.

在"基于散乱数据三维表面算法的研究"这一章中，首先通过八叉树的数据结构的算法对三维散乱数据进行处理，然后再确定邻点和微切平面，最后用三角网格化的方法完成三维物体表面重构。

Tangent: Maintains a G1 "tangent" continuous transition between surface edge boundaries.

在面组边界维持G1连续。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。