an algorithm for the intersection of quadrilateral surfaces by tracing     of neighbours

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	an algorithm for the intersection of quadrilateral surfaces by tracing of neighbours
	Lo SH ; Wang WX
刊名	COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
	2003
卷号	192 期号:20-21 页码:2319-2338
关键词	quadrilateral triangle surface intersection neighbour tracing
ISSN号	0045-7825
学科主题	Engineering, Multidisciplinary; Mathematics, Interdisciplinary Applications; Mechanics
收录类别	SCI ; SCIENCEDIRECT
语种	英语
公开日期	2011-07-29
附注	The use of discrete data to represent engineering structures as derivatives from intersecting components requires algorithms to perform Boolean operations between groups of quadrilateral and triangular surfaces. In the intersection process, an accurate and efficient method for the determination of intersection lines is a crucial step for large scale and complex surface intersections. An algorithm based on tracing the neighbours of intersecting quadrilaterals is proposed to determine the intersection lines. A background grid is employed to limit the scope of searching for candidate quadrilaterals that may intersect. This will drastically cut down the time of geometrical check for intersections between quadrilaterals, making the surface intersection and mesh generation a quasi-linear process with respect to the number of elements involved. Given the node numbers at the vertices of the candidate quadrilaterals, the neighbour relationship is then established. In the determination of intersection, each quadrilateral is divided into two triangles and four fundamental cases are identified and treated systematically to enhance robustness and reliability. Tracing the neighbours for the determination of intersection lines not only greatly increases the efficiency of the process, it also improves the reliability as branching and degenerated cases can all be dealt with in a consistent manner on the intersecting surfaces concerned. Examples on a great variety of surface and mesh characteristics are given to demonstrate the effectiveness and robustness of the algorithm. (C) 2003 Elsevier Science B.V. All rights reserved.
内容类型	期刊论文
源URL	[http://124.16.136.157/handle/311060/13168]
专题	软件研究所_软件所图书馆_期刊论文
推荐引用方式 GB/T 7714	Lo SH,Wang WX. an algorithm for the intersection of quadrilateral surfaces by tracing of neighbours[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,2003,192(20-21):2319-2338.
APA	Lo SH,&Wang WX.(2003).an algorithm for the intersection of quadrilateral surfaces by tracing of neighbours.COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,192(20-21),2319-2338.
MLA	Lo SH,et al."an algorithm for the intersection of quadrilateral surfaces by tracing of neighbours".COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 192.20-21(2003):2319-2338.