基于Bezier曲线生成3D打印分层路径

Generating 3D Printing Layered Path based on Bezier Curve

3D打印可实现高效无模成形,而在医疗、汽车、航空航天和建筑领域得到了广泛的应用。3D打印中分层路径精度影响着填充图和成型的精度。Bezier曲线具备光滑连接特性,被广泛应用于自由曲线曲面造型中。为了提高分层路径的精度,采用三次Bezier曲线生成切面层路径。首先通过3D打印切片算法得到单一闭合曲线有序散点,然后根据切片算法得到的有序散点反求出Bezier曲线控制顶点,继而由控制顶点求解出闭合的三次Bezier曲线,通过在Bezier曲线中设定特定步长得到一定数目的顶点,添加到路径切点的相应位置中,顺序连接切点生成路径。该方法能够使原本粗糙的切面路径变得光滑,成形样品的表面轮廓清晰,成形精度较高,整体轮廓曲线光滑。

3D printing could achieve efficient formless forming,so it was widely used in medical,automotive,aerospace and construction fields.The precision of layered path affected the accuracy of filling graph and forming.Bezier curves had smooth connection characteristics and were widely used in free-form curve and surface modeling.In order to improve the precision of the stratified path,cubic Bezier curves were used to generate the tangent layer path.Firstly,the ordered scattered points of a single closed curve were obtained by using the 3D printing slice algorithm,then the Bezier curve control vertices could be acquired by using slicing algorithm to get ordered discrete points,in addition,the cubic Bezier curve was gotten through control vertices.A certain number of vertices were acquired by setting up a specific step in the Bezier curve,those vertices were added to the path of the tangent point location,sequentially connected points of tangency to generate the path.This method could make the rough section path smooth,the surface contour of the formed sample was clear,the forming precision was high,and the whole contour curve was smooth.