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» An algorithm for deciding if a polyomino tiles the plane
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ITA
2007
13 years 10 months ago
An algorithm for deciding if a polyomino tiles the plane
: For polyominoes coded by their boundary word, we describe a quadratic O(n2) algorithm in the boundary length n which improves the naive O(n4) algorithm. Techniques used emanate f...
Ian Gambini, Laurent Vuillon
LATA
2009
Springer
14 years 5 months ago
Tiling the Plane with a Fixed Number of Polyominoes
Deciding whether a finite set of polyominoes tiles the plane is undecidable by reduction from the Domino problem. In this paper, we prove that the problem remains undecidable if t...
Nicolas Ollinger
CCCG
2009
14 years 10 hour ago
Enumeration of Polyominoes for p4 Tiling
Polyominoes are the two dimensional shapes made by connecting n unit squares, joined along their edges. In this paper, we propose algorithms to enumerate polyominoes for p4 tiling...
Takashi Horiyama, Masato Samejima
CORR
2008
Springer
108views Education» more  CORR 2008»
13 years 11 months ago
Polyomino-Based Digital Halftoning
In this work, we present a new method for generating a threshold structure. This kind of structure can be advantageously used in various halftoning algorithms such as clustered-do...
David Vanderhaeghe, Victor Ostromoukhov