CASIA OpenIR  > 09年以前成果
 A new algorithm for Boolean operations on general polygons Peng, Yu1; Yong, Jun-Hai2; Dong, Weiming1; Zhang, Hui2; Sun, Jia-Guang1,2 Source Publication Computers & Graphics 2005-02 Volume 29Issue:1Pages:57-70 Abstract 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. Keyword Curve Modeling Packages Surface Geometric Algorithms Computational Geometry Solid Languages Geometric Modeling And Object Representations And Systems Boolean Operation Polygon Intersection Indexed By SCI Document Type 期刊论文 Identifier http://ir.ia.ac.cn/handle/173211/13119 Collection 09年以前成果 Corresponding Author Peng, Yu Affiliation 1.Department of Computer Science and Technology, Tsinghua University2.School of Software, Tsinghua University Recommended CitationGB/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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