基于双三角平面模型的Bezier曲面的分割求交  

The Segment and Intersection of Bezier-type Syrfaces Based on the Bitriangleplane Model

作　　者：方明伦[1] 林财兴[1] 杨洪夫[1] 刘江[1] 

机构地区：[1]上海大学机械工程学院

出　　处：《上海大学学报（自然科学版）》1995年第2期182-188,共7页Journal of Shanghai University:Natural Science Edition

摘　　要：本文提出了一种基于双三次Ｂｅｚｉｅｒ曲面的双三角平面模型，并以此模型为基础建立了相应的平化判别、分割求交算法采用主动边与被动三角平面间的遍历来获得交线．与多边型模型相比双三角争面模型具有理论严密，算法简捷、近似度好、节省时空等优点．In this paper, the bitriangle plane model that is baseed on the parametricbicubic segment of Bezier-type is proposed. Compared with the polygon approximatemodel, the bitriangle plane model theory is more compact, its algorithm is moresimple and direct, and it has good approximation.According to this model, we establish a seriws of algorithms of segmentation. Withefforts all.above, we have achieved curved surfaces segmentation and intersectionon micro-computer initially.

关 键 词：双三角平面 BEZIER曲面 CAD 

分 类 号：TP391.72[自动化与计算机技术—计算机应用技术]