三次Bzier样条曲线在服装纸样设计中的应用

Application of the cubic Bzier spline curve in garment pattern design

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。

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 Bézier spline curve is provided for this curve design. Compared with the arc spline and B spline methods, the cubic Bézier spline curve is characterized by easy accomplishment of a curve. The generated cubic Bézier spline curve is smooth because it is G^2 continuity at the patch point inside the curve. Compared with the common Bézier curve, the cubic Bézier 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.