NURBS曲线曲面的可控修形研究

RESEARCH ON CONTROLABLY MODIFYING THE SHAPE OF NURBS CURVE AND SURFACE

本文提出了用插入节点、修改控制顶点和修改权因子相结合的方法，对ＮＵＲＢＳ曲线曲面进行可控修形，用交互的方法，在曲线上修出具有指定形状的凸起、凹陷或圆弧，在曲面上修出各种槽腔和凸台等。用本文的方法可方便地把已有的曲线曲面修改成所需的形状，并给后续的几何处理带来很大方便．

This paper present an approach of modifying the shape of NURBS curve and surface bycombined use of inserting knots,modifying control vertices and modifying weights.LocalProtrusion depression and fillet may be added onto a curve or surface interaetively in a fullyContrloable manner。