曲率

The overcutting on tool end is checked via comparing the tool radius with the circumradius or the radius of inscribed circle, and the touch interference of tool body based on the symbol of the vector distance from the triangle vertex to the tangent plane of tool body column.

在曲面加工的无干涉路径规划中，通过恰当选择刀具初始位置避免了接触点处的曲率干涉；通过比较刀具半径与曲面上三角片外接园半径的大小即可判断刀具底面干涉；而根据三角片顶点与刀杆切平面的有向距离的正负来判断刀杆碰撞干涉。

B- spline Expression of Integral Curvature Line on NURBS Surface.

李宏坤，王国瑾，刘利刚， NURBS 曲面上积分曲率线的 B 样条表示，计算机辅助设计与图形学学报，2006， 18(3)：

A kind of method to determine boundary conditions of interpolating quadric spline function with halfknots as conjunction points, which is C 1 continuous but its second derivative function is piecewise constant, is obtained by means of least squares.

鉴于此，本文利用最小二乘法，获得了一种半节点二次插值样条边界条件确定方法，该方法可以保证二次插值样条在半节点处二阶导数的变化最小，这相当于保证了曲率的变化最小。

From the results, the profile error of NURBS interpolation is related to feed velocity and curvature radius in NC machine tools.

仿真结果显示，数控机床NURBS插补的轮廓误差与进给速度及给定曲线的曲率半径有关。

From the results,the profile error of NURBS interpolation is related to feed velocity and curvature radius inNC machine tools.

仿真结果显示，数控机床NURBS插补的轮廓误差与进给速度及给定曲线的曲率半径有关。

The relationships between curvature and velocity fluctuating and between chord error and interpolation period in the Taylor expansion were given.

给出了一阶、二阶泰勒展开方法的速度波动与曲率的关系，弦误差与插补周期的关系。

At the same time, the method which feed can be adjusted with curvature of curve to implement the control of interpolation error in high speed and high precision is found.

同时为了保证自由曲线插补精度要求，提出了进给速度能随曲线曲率自适应调整，实现高速高精度插补误差控制的方法。

Contemporary differential geometry is intrinsic , meaning that space is a manifold and structure is given by a Riemannian metric , or analogue, locally determining a geometry that is variable from point to point.

微分几何，这是简单的几何的曲率，已越来越重要，因为对数学物理的建议空间不是平坦的空间。

Gauss（1777—1855）; intrinsic differential geometry ; non-Euclidean geometry ; Gaussian curvature ; Gauss-Bonnet Theorem

高斯（C.F.Gauss ； 1777—1855）；内蕴微分几何学；非欧几何；高斯曲率；高斯-博内定理

Gauss （ 1777-1855 ）; intrinsic differential geometry; non-Euclidean geometry ; Gaussian curvature ;Gauss-Bonnet Theorem

高斯（C.F.Gauss，1777—1855）内蕴微分几何学非欧几何高斯曲率高斯-博内定理

I am accused of being overreligious," she said in her quiet, frank manner,"but that does not prevent me thinking the children very cruel who obstinately commit such suicide.""

客人们在卡罗利娜·埃凯家里，举止就文雅一些，因为卡罗利娜的母亲治家很严厉。

Designed by French fashion house Herm è s, this elegant uniform was manufactured in our home, Hong Kong, and was the first without a hat.

由著名品牌 Herm è s 设计，这件高贵的制服是香港本土制造，是我们第一套不配帽子的制服。