任意直线 meaning in English

arbitrary line

Application of arbitrary straight line offset method to highway surveying
任意直线支距法在公路测量中的应用
Otherwise , i scheme out the interpolation arithmetic of discretional line and arc on base of the method of ameliorated smallest wrap . in the same way , it has many advantages , too
另外，利用改进的最小偏差法，还给出了任意直线和任意圆弧的插补算法，同样具有以上所述的优点。
( 4 ) the special geometric restrictions like parallelism and perpendicularity implicated in vanishing elements are deeply studied . in single - view case , the theory is presented to interpret relationship between two planar lines by applying 3d invariants of vanishing points . in two - view case , the method on extraction vanishing point of an arbitrary sp atial line is described , and moreover , the theory is presented to interpret relationship between two elements in 3d space , such as two lines , two planes , line and plane , and so on
( 4 )详细论述了消失元素(消失点、消失直线、消失平面等)所体现的垂直、平行等特殊几何约束关系；对单视图，提出了一种利用消失点列的3d不变量解释平面直线关系的方法；对双视图，提出了利用自共轭三角形和对极几何约束，提取任意直线的消失点的算法，并在此基础了提出了一种利用消失元素的3d不变量解释直线间、直线与平面间、平面间等多种空间几何关系的方法。