geodesic curvature

Application of Geodesic Curvature in Interference Check for Cutting Tool Grinding

测地曲率在刀具刃磨干涉校核中的应用

This paper develops methods for tangent direction continuous ( G1 ) and both tangent direction and curvature continuous ( G2 ) interpolation of a range of points on surface with specified tangent and either a curvature vector or a geodesic curvature at every point .

给出了数据点的切方向（切方向及曲率向量或测地曲率值）指定而G1连续（G2连续）插值曲面上任意点列的方法。

Mapping Algorithm for Surface Curve Design with Preserved Geodesic Curvature

保测地曲率的曲面曲线设计

Based on the geodesic curvature calculating method in differential geometry , a mathematical model for checking curvature interference between the major cutting edge and the cylindrical grinding wheel during grinding clearance face of a ball nose end milling cutter with S shaped major cutting edge is developed .

用圆柱形砂轮刃磨球头立铣刀端刃后刀面时，运用微分几何学中的测地曲率算法建立了砂轮与S型刃的曲率干涉校核数学模型。

The opening chapter gives a general overview of history of the development of the NURBS surface , awaken to the necessity of compute on geodesic and curvature lines of surface .

第一章综述了NURBS曲面的发展历程，由此引申出测地线和曲率线计算的必要性。

Theorem 2 . Every orbit of the one-parameter subgroup of G is either a single point or a curve of constant ( geodesic ) curvature , and vice versa .

定理2在双曲平面H~2上，运动群G的单参数子群的每个轨道或是一个点，或是一条常（测地）曲率曲线.其逆亦真。

Design of the Optical Waveguide Geodesic Lens Without Curvature Singularity

无曲率奇点的光波导短程透镜的设计

For geodesic triangle in2-dimensional constant curvature space Σ, the author improves some geometric inequalities on its interior angle by theory of majorization .

对于二维常高斯曲率空间∑上的测地三角形，研究了其内角的优超关系，并运用优超理论得到2个新的关于其三内角的几何不等式。

The set of all the points on C has no exterior geodesic normal and no set of measure of zero can be formed on C. 3 . There nearly exists everywhere on C the inner side geodesic curvature .

C上不能引其外向测地法线的点组成C上的零测度集合3.C上几乎处处存在内侧的测地曲率。