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[PF13] How to decompose a binary matrix into three hv-convex polyominoesConférence Internationale avec comité de lecture : 17th IAPR International Conference on Discrete Geometry for Computer Imagery, March 2013, Vol. 7749, pp.311-322, Series LNCS, Séville, Espagne,
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Given a binary matrix, deciding wether it can be decomposed into three hv-convex matrices is an NP-complete problem, whereas its decomposition into two hv-convex matrices or two hv-polyominoes can be performed in polynomial time. In this paper we give a polynomial time algorithm that decomposes a binary matrix into three hv-polyominoes, if such a decomposition exists. These problems are motivated by the Intensity Modulated Radiation Therapy (IMRT).
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