【摘要】 提出一种新的参数曲线自由变形方法 :构造出特殊的伸缩因子函数 ,以此去作用 (伸缩 )待变形曲线方程 ,从而使曲线发生形变 .通过交互改变控制参数 ,可达到预期的变形效果 .实验表明 ,该方法数学背景简单 ,易于控制 ,重复使用可获得丰富的变形效果 ,适用于几何造型、计算机动画等领域更多还原

【Abstract】 A new technique of free form deformation for parametric curve by the so called extension factor is presented. First, a special extension factor is introduced and an operator matrix is constructed. Then the original curves are deformed through multiplying by the operator matrix or adding the multiplication of some vector field by the operator matrix. Interactively modifying control parameters, ideal deformation effect can be got. The implementation shows that the method is simple, intuitive and easy to control. It can be used in many fields such as geometric modeling and computer animation.更多还原