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AAAI
1998

An Algebra for Cyclic Ordering of 2D Orientations

9 years 7 months ago
An Algebra for Cyclic Ordering of 2D Orientations
Wedefine an algebra of ternary relations for cyclic ordering of 2Dorientations. Thealgebra (1) is a refinement of the CYCORDtheory; (2) contains 24 atomic relations, hence 224 general relations, of which the usual CYCORDrelation is a particular relation; and (3) is NP-complete,which is not surprising since the CYCORDtheory is. Wethen provide: (1) a constraint propagation algorithm for the algebra, which we show is polynomial, and complete for a subclass including all atomic relations; (2) a proof that another subclass, expressing only information on parallel orientations, is NP-complete;and (3) a solution search algorithm for general problem expressed in the algebra.
Amar Isli, Anthony G. Cohn
Added 01 Nov 2010
Updated 01 Nov 2010
Type Conference
Year 1998
Where AAAI
Authors Amar Isli, Anthony G. Cohn
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