基于插值曲线的尖锐特征构造方法

A Construction Method of Sharp Feature Based on Interpolated Curve

联合细分模式具有较强的曲线网插值能力,但却难以构造带有尖锐特征的复杂外形曲面。本文根据联合细分模式的特点,提出了一种简单有效的实现联合细分曲面的尖锐特征构造方法。在有限次细分过程中,根据给定的特征角和尖锐特征因子,反复调整跨界二阶偏导,有效改变了插值曲线附近局部曲面的形状,从而在插值曲线上生成尖锐特征;而且特征的形状可通过特征角进行调节。实例表明,该方法简单有效,生成的特征效果较好,起到增强联合细分曲面的造型功能的作用。

Combined subdivision scheme is good for interpolating curve networks, but it cannot construct complex surface with sharp features. According to the character of combined subdivision, a simple and effective method for constructing sharp feature on a interpolated curve is presented. During a few times of subdividing, the second cross curve derivatives are adjusted repeatedly according to the given feature angle and sharp feature factor, which chan- ges the local shape of surface near the interpolated curves effectively, and generates sharp features on interpolated curves. The shape of feature can be modified by show that this method is simple and effective to changing the feature angle related with the curve. The examples realize features with good effect, so this method can improve the modeling ability of the combined subdivision scheme.