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An Algorithm for Optimal PLA Folding
130
Citations
6
References
1982
Year
Mathematical ProgrammingAdmissible Pla FoldingsEngineeringOrigami MetamaterialsFoldable StructureComputer-aided DesignStructural OptimizationDiscrete OptimizationDiscrete MathematicsCombinatorial OptimizationComputational GeometryGeometric ModelingCombinatorial ProblemOptimal FoldingOptimal ProblemGeometric AlgorithmGraph TheoryNatural SciencesOptimal Pla Folding
In this paper we present a graph-theoretic formulation of the optimal PLA folding problem. The class of admissible PLA foldings is defined. Necessary and sufficient conditions for obtaining the optimal folding are given. A subproblem of the optimal problem is shown to be NP-complete, and a heuristic algorithm is given which has proven to be effective on a number of test problems.
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