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» Tiling the Plane with a Fixed Number of Polyominoes
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LATA
2009
Springer
14 years 13 days 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
COMBINATORICS
2006
106views more  COMBINATORICS 2006»
13 years 5 months ago
Tilings by Translation: Enumeration by a Rational Language Approach
Beauquier and Nivat introduced and gave a characterization of the class of pseudo-square polyominoes that tile the plane by translation: a polyomino tiles the plane by translation...
Srecko Brlek, Andrea Frosini, Simone Rinaldi, Laur...
CORR
2008
Springer
108views Education» more  CORR 2008»
13 years 5 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