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- W2514933739 abstract "A 2-dimensional direction-length framework (G,p) consists of a multigraph G=(V;D,L) with realisation p:V→R2. The edges of G represent geometric constraints: edges in L have fixed length, and edges in D have fixed gradient. A direction-length framework (G,p) is globally rigid if every (G,q) which satisfies the same geometric constraints as (G,p) can be obtained from (G,p) by an isometry of the plane. We characterise global rigidity for the class of 2-dimensional direction-length frameworks (G,p) for which p is generic and the rigidity matroid of G is connected. Specifically, we show that such frameworks are globally rigid if and only if both D and L are non-empty, and every 2-separation of G is direction-balanced. This extends previous work by Jackson and Jordán (2010)." @default.
- W2514933739 created "2016-09-16" @default.
- W2514933739 creator A5024530898 @default.
- W2514933739 date "2023-01-01" @default.
- W2514933739 modified "2023-09-23" @default.
- W2514933739 title "Global rigidity of 2-dimensional direction-length frameworks with connected rigidity matroids" @default.
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- W2514933739 doi "https://doi.org/10.1016/j.dam.2022.10.017" @default.
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