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XVIII Brazilian Symposium on Computer Graphics and Image Processing (SIBGRAPI'05)
A Linear Algorithm for Exact Pattern Matching in Planar Subdivisions
Natal, Rio Grande do Norte, Brazil
October 09-October 12
ISBN: 0-7695-2389-7
Pedro Ribeiro de Andrade Neto, Federal University of Paraná
André Luiz Pires Guedes, Federal University of Paraná
Graph sub-isomorphism is a very common approach to solving pattern search problems, but this is a NP-complete problem. This way, it is necessary to invest in research of approximate solutions, or in special cases of the problem. Planar subdivisions can be considered as a special case of graphs, because, in addition to nodes and edges, there is a more rigid topology in relation to the order of the edges, arising to the concept of face. This work presents a linear algorithm for pattern search in planar subdivisions. The presented algorithm is based on a hybrid approach between the dual and the region adjacency graph (RAG) to represent the patterns, saving any additional storage cost. Thus, the patterns are looked over the search subdivision, using a region growing algorithm.
Citation:
Pedro Ribeiro de Andrade Neto, André Luiz Pires Guedes, "A Linear Algorithm for Exact Pattern Matching in Planar Subdivisions," sibgrapi, pp.120-127, XVIII Brazilian Symposium on Computer Graphics and Image Processing (SIBGRAPI'05), 2005
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