基于贝塞尔曲线的机织物三维模拟方法

3D weave fabric simulation method based on Bezier curve

通过对织物中纱线几何结构的分析,提出一种基于Bezier曲线的纱线轴心曲线计算方法.该方法将一个循环内的纱线分为2段,然后根据织物组织结构特点确定待求纱线轴心线上的特征点,接着通过这些特征点反求出第一段轴心线的Bezier控制点,再根据Bezier曲线的光滑拼接条件及已知特征点,计算出第二段轴心线的Bezier控制点,从而建立一个循环纱线的轴线曲线方程.在此基础上,采用放样建模方法建立机织物中纱线的三维几何模型,为机织物的三维模拟奠定基础.该方法计算简便,模拟效果直观,便于实时调整.

A yarn axis curve calculation method based on the Bezier curve is put forward according to yarn geometrical structure in the weave. This method divides one repeat of the yarn into two sections, and then works out the feature points in the yarn axis. Afterwards, figures out the Bezier control points of the first section axis, then according to the Bezier curve smooth splicing conditions and the feature points, calculates the second section axis Bezier control points. At last, one repeat of the yarn axis curve is established. On the basis of the yarn axis curve, using lofting modeling method to simulate 3D yarn in the weave fabric, which sets the foundation for 3D weave fabric simulation. This method is simple and the simulation effect is visualized, so it＇s convenient for real-time adjustment.