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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
Source PublicationComputers & Graphics
2005-02
Volume29Issue:1Pages:57-70
AbstractA 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.
KeywordCurve Modeling Packages Surface Geometric Algorithms Computational Geometry Solid Languages Geometric Modeling And Object Representations And Systems Boolean Operation Polygon Intersection
Indexed BySCI
Document Type期刊论文
Identifierhttp://ir.ia.ac.cn/handle/173211/13119
Collection09年以前成果
Corresponding AuthorPeng, Yu
Affiliation1.Department of Computer Science and Technology, Tsinghua University
2.School of Software, Tsinghua University
Recommended Citation
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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