三次Bzier样条曲线在服装纸样设计中的应用

 在服装纸样设计中,经常会碰到这类问题,要求构造一曲线,能通过给定控制多边形的首末控制点,并且与首末控制边相切,可使用三次B?zier样条曲线来构造。同圆弧样条和B样条等方法相比,三次B?zier样条曲线方法的特点是能够非常方便的构造,并且得到的曲线因为内部拼接点处达到G2连续,线条整体光顺、优美。同一般的B?zier造型方法相比,该方法的特点是设计者可根据需要调节参数,从而改变线条的形状,增加了服装的款式和式样,适用于服装CAD的制作和应用。

Application of the cubic Bézier spline curve in garment pattern design

In the garment pattern design,the requirement for constructing a curve is a common occurrence.Namely,the curve passes through endpoints of a given polygon and is tangent to the first control line and the last control line of that polygon.The cubic Bzier spline curve is provided for this curve design.Compared with the arc spline and B spline methods,the cubic Bzier spline curve is characterized by easy accomplishment of a curve.The generated cubic Bzier spline curve is smooth because it is G~2 continuity at the patch point inside the curve.Compared with the common Bzier curve,the cubic Bzier spline curve can be adjusted by a designer according to parameters,so it can change the form of the curve and increase the diversity of garment styles.This modeling method will find wide applications in the field of computer-aided garment design.