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A Linear Algorithm for Exact Pattern Matching in Planar Subdivisions

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2 Author(s)
de Andrade Neto, P.R. ; Federal University of Paraná ; Guedes, A.L.P.

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.

Published in:

Computer Graphics and Image Processing, 2005. SIBGRAPI 2005. 18th Brazilian Symposium on

Date of Conference:

09-12 Oct. 2005