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A new algorithm for Boolean operations on general polygons
Peng, Yu1; Yong, Jun-Hai2; Dong, Weiming1; Zhang, Hui2; Sun, Jia-Guang1,2
2005-02
发表期刊Computers & Graphics
卷号29期号:1页码:57-70
摘要A new algorithm for Boolean operations on general planar polygons is presented. It is available for general planar polygons (manifold or non-manifold, with or without holes). Edges of the two general polygons are subdivided at the intersection points and touching points. Thus, the boundaryof the Boolean operation resultant polygon is made of some whole edges of the polygons after the subdivision process. We use the simplex theory to build the basic mathematical model of the new algorithm. The subordination problem between an edge and a polygon is reduced to a problem of determining whether a point is on some edges of some simplices or inside the simplices, and the associated simplicial chain of the resultant polygon is just an assembly of some simplices and their coefficients of the two polygons after the subdivision process. Examples show that the running time required bythe new algorithm is less than one-third of that bythe Rivero and Feito algorithm.
关键词Curve Modeling Packages Surface Geometric Algorithms Computational Geometry Solid Languages Geometric Modeling And Object Representations And Systems Boolean Operation Polygon Intersection
收录类别SCI
文献类型期刊论文
条目标识符http://ir.ia.ac.cn/handle/173211/13119
专题09年以前成果
通讯作者Peng, Yu
作者单位1.Department of Computer Science and Technology, Tsinghua University
2.School of Software, Tsinghua University
推荐引用方式
GB/T 7714
Peng, Yu,Yong, Jun-Hai,Dong, Weiming,et al. A new algorithm for Boolean operations on general polygons[J]. Computers & Graphics,2005,29(1):57-70.
APA Peng, Yu,Yong, Jun-Hai,Dong, Weiming,Zhang, Hui,&Sun, Jia-Guang.(2005).A new algorithm for Boolean operations on general polygons.Computers & Graphics,29(1),57-70.
MLA Peng, Yu,et al."A new algorithm for Boolean operations on general polygons".Computers & Graphics 29.1(2005):57-70.
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