参数曲面自由变形新方法

A New Approach of Free-form Deformation for Parametric Surface

提出一种新的参数曲面自由变形方法:构造出特殊的伸缩因子函数,用它去作用(伸缩)待变形曲面,从而使曲面发生形变。通过交互改变控制参数,可达到预期变形效果。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,CAD/CAM等领域。

A new technique of free-form deformation about parametric surface through so-called extension factor (EF) is presented in this article. First, a special extension factor is introduced and an operator matrix is constructed. Then the deformation of a surface is achieved through multiplying the equation of the surface by an 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, computer animation and CAD/CAM.