Minimum dissection of a rectilinear polygon with arbitrary holes into rectangles (Q1196367)
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scientific article; zbMATH DE number 78493
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Minimum dissection of a rectilinear polygon with arbitrary holes into rectangles |
scientific article; zbMATH DE number 78493 |
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Minimum dissection of a rectilinear polygon with arbitrary holes into rectangles (English)
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14 December 1992
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The authors give a formula for a minimum number of dissecting rectangles for a given rectangular polygon with arbitrary (possibly, degenerate) holes. They also give a polynomial time algorithm for dissecting the polygon in a minimum number of rectangles. The holes can degenerate into points. This fact disproves an assertion about the \(NP\)-hardness of this problem.
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rectilinear polygons
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rectangles
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holes
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