查询词典 tangent curve

This paper first summarizes recent researches on this topic, and then proposes some methods for curve modeling with cubic algebraic curve based on pure geometric constraints that involve control points, tangent directions and curvatures.

然后提出了一种基于几何约束的三次代数曲线的插值方法，该方法完全通过几何量如控制顶点、切线和曲率来控制三次代数曲线的形状，使得对三次代数曲线的编辑与对三次 B-样条曲线的编辑一样灵活方便。

This algorithm firstly translates arbitrary parameter curves into the piecewise cubic-degree Bezier curves, then using the properties of Bezier curve we can get the tangent vector and the normal vector of every point on the approximation curve, and calculate the approximating offset curve.

此算法先将任意形式的参数曲线转化成分段三次Bézier曲线，利用Bézier曲线的性质容易得到逼近曲线的切向量和法向量，从而计算出其等距逼近曲线。

In this paper,the author obtains some features of Bertrand curves such as that necessary and sufficient conditions for a Bertrand curve is curve,discusses the distance from a point of a Bertrand curve to the corresponding point of the mate of Γ,the angle of the two tangent lines and so on.

讨论了Bertrand曲线的特征，得出了诸如曲线是Bertrand曲线的充要条件，Bertrand曲线Γ上的点与其偶线上对应点的距离，以及两点切线交角等结论。

Consider the circle that is tangent to the curve at and has the same curvature there. Its center will lie on the concave side of the curve. This circle is called the circle of curvature. Its radius is the radius of curvature, and

在点处的曲线的法线上，在凹的一侧取一点，使得，以为圆心，半径为的圆叫做曲线在点处的曲率圆，曲率圆的圆心叫做曲线在点处的曲率中心，曲率圆的半径叫做曲线在点处的曲率半径。

First, the paper introduces the moving coordinate system based on the curve tangent vector and the curvature component vectors. Next, the total curvature vector is composed and the osculating plane determined in the moving coordinate system. The curve bending is then calculated and the recursion analysis made on the osculating plane.

鉴于空间曲线上曲率采集面的变化，引入了由曲线切向量和曲率分量决定的运动坐标系，接着在运动坐标系中合成曲率矢量，确定密切平面，然后在密切平面中对曲线进行弯曲计算和运动坐标系的变换分析，并对相关公式进行了推导。

The curvature of a curve; the magnitude of the derivative of its unit tangent vector with respect to distance on the curve:.

曲线的曲率；为单位切向量对距离取导数所得向量的大小

DT/ds| The curvature of a curve; the magnitude of the derivative of its unit tangent vector with respect to distance on the curve:|dT/ds

曲线的曲率；为单位切向量对距离取导数所得向量的大小

In specific applications expression : in compressed natural language describes various examples of the basic algorithm, using MATLAB as a programming language, a series of the combined limit, the bonus points will be combined, one graphics area and the length of the horizontal curve equations, and curve tangent process, the rotary body size and shape combined several process issues.

在具体应用中的体现：以简练的自然语言描述了各实例的基本算法，运用MATLAB作为编程语言，实现了数列极限的求解、定积分的求解、平面图形面积及平面曲线长度的求解、求曲线切线的过程、旋转体体积的求解及其形成过程等几个问题。

According to road designing data of mileage,coordinate,azimuth angle of tangent or straight line,curve radius,the length of spiral line from main point of curve or straight line starting point,we can calculate the coordinates of center line points and boundary line point s in any form of road under the same coordinate system.

根据线路设计资料提供的曲线主点里程、坐标、切线方位角、曲线半径、缓和曲线长度的已知数据，计算出任意线形的中桩、边桩在线路统一坐标系中的坐标，利用全站仪极坐标放样程序，以线路附近的控制点或加密点为测站，准确、快速放样各点。

The trigonometric uniform polynomial curve constructed in this paper has two advantages. One is that the curve can be continuous and the shape can be adjusted with the fixed tangents. The other is that only adding one new knot, the curve can pass through the tangent, which reduces excess points.

利用绘出的三角均匀多项式曲线来逼近多边形，主要有2个特点：一是曲线能达到连续，并且在切点固定时曲线的形状可以进行调整，二是只需增加一个新节点就可以通过切点，减少了额外点。

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。