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Rectilinear block packing using an O-tree representation

机译:Rectilinear block packing using an O-tree representation

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摘要

0-tree, which has been proposed to represent rectangle packing, has some outstanding properties. One of them is that the packing which keeps all the constraints imposed by a given 0-tree can be obtained in 0(n) time, where n is the number of rectangles. Recently, methods to extend 0-tree to represent L-shaped block packing were proposed. In this paper, a method to extend 0-tree to represent rectilinear block packing is proposed. Also, a novel algorithm to obtain the packing which keeps all the constraints imposed by any feasible 0-tree in 0(nm) time is proposed, where in is the number of rectilinear blocks. The proposed algorithm can obtain the packing in 0(n) time if all the blocks are convex.

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