【摘要】 针对FASS分形扫描路径只能填充正方形区域的限制 ,提出通过判别参数化表示的任意边界与FASS曲线的交点来实现任意边界薄层FASS分形曲线的裁剪 .为此根据分形曲线的递归特性研究出求交的相应算法 ,并在分形曲线的遍历中确立判别交点的规则 ,使扫描线在轮廓边界内走FASS曲线 ,从而为在数控系统实现分形扫描任意轮廓的薄层提供依据 .更多还原

【Abstract】 Aiming at a limitation that the FASS (space filling, self avoiding, simple and self similar) curve, fractal laser scanning path can only fill in a square region, which is a method presented to realize the trimming of FASS fractal curve in arbitrary boundary layer by means of judging the intersection points between parameterized arbitrary boundary and a FASS fractal curve. The related algorithm concerned with determining intersection points is investigated according to the recursion feature of the fractal curve and in the process of traversing fractal curve, the rule of judging intersection points is ascertained to make the laser scanning beam "walk" along the fractal curve inside the desired boundary. This provides the basis for getting the arbitrary boundary layers in CNC system by fractal scanning path.更多还原