The obtained results can not only been applied to the design and implementation of algorithm for avoidance obstacle path planning, but also been used to solve the problems of computational geometry.
取得的结果不仅可直接应用于避障路径规划算法的设计与实现，而且还可应用于计算几何中相关问题的求解。
Using differential geometry and vector analysis, a new tool-path generation method for freeform surface machining is presented.
以微分几何学和矢量分析为工具，提出了复杂曲面加工路径规划的新方法。
Based on the geometry characteristic and processing technique of centrifugal compressor impeller, the tool path of rough and finish machining are scheduled.
分析了离心压气机叶轮的几何结构特点、加工工艺，并在此基础上规划了叶轮的粗、精加工刀具轨迹。
In this paper the geometry properties of the plane four-bar linkage which can generate a symmetric path are discussed.
讨论了能够产生对称连杆曲线的铰链四杆机构的几何特征。
Analysis of the traditional artificial potential field failed in path planning due to the local minimum and the possible local minimum area of the external obstacles on the geometry.
本文分析了传统的人工势场法由于局部最小问题而导致规划失败的原因，对可能产生局部极小值区域的障碍物外部几何形状进行分析。
The tool, part geometry, machining conditions, tool-path and the material removal process are simulated by computer simulating technology to gain a rational optimized milling plan finally.
通过计算机仿真技术，模拟刀具、工件几何体、加工环境及刀具路径和材料去除的过程，最终在加工之前得到了合理、优化的加工方案。
When the working path model of industrial robot composes the free curve geometry object, the method of interpolation and subdivision of curve is adopted.
当机器人的作业路径为通过给定点的二维自由曲线时，需进行插值拟合。
James Joseph Sylvester Geometry may sometimes appear to take the lead over analysis but in fact precedes it only as a servant goes before the master to clear the path and light him on his way.
几何看来有时候要领先于分析，但事实上，几何的先行于分析，只不过像一个仆人走在主人的前面一样，是为主人开路的。
The images of crack path were analyzed systematically using fractal geometry method, and it showed that the growth paths of crack were of fractal property.
对应于荷载水平，对这些断裂过程的细观图片进行了系统的分析，表明裂纹扩展路径具有明显分形性质。
Equations for describing the tooth surface of a face-gear were established, and the contact path was formed by differential geometry and meshing theory.
推导了双圆环面包络环面蜗杆磨齿啮合界线方程及其与相配蜗轮啮合的啮合界线方程。
Equations for describing the tooth surface of a face-gear were established, and the contact path was formed by differential geometry and meshing theory.
推导了双圆环面包络环面蜗杆磨齿啮合界线方程及其与相配蜗轮啮合的啮合界线方程。
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