Generalised rigid body motions in non-Euclidean planes with applications to global rigidity
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2022.126259
Abstract: A bar-joint framework (G, p) in a (non-Euclidean) real normed plane X is the combination of a finite, simple graph G and a placement p of the vertices in X . A framework (G, p)… read more here.
Keywords: non euclidean; global rigidity; rigidity; rigid body ... See more keywords
Generic Global Rigidity in ℓp-Space and the Identifiability of the p-Cayley–Menger Varieties
Sign Up to like & getrecommendations! Published in 2024 at "International Mathematics Research Notices"
DOI: 10.1093/imrn/rnaf208
Abstract: The celebrated result of Gortler–Healy–Thurston (independently, Jackson–Jordán for $d=2$) shows that the global rigidity of graphs realised in the $d$-dimensional Euclidean space is a generic property. Extending this result to the global rigidity problem in… read more here.
Keywords: global rigidity; cayley menger; space;
GROLO: Realistic Range-Based Localization for Mobile IoTs Through Global Rigidity
Sign Up to like & getrecommendations! Published in 2019 at "IEEE Internet of Things Journal"
DOI: 10.1109/jiot.2019.2895127
Abstract: We study the realistic problem of range-based localization for mobile Internet of Things (IoT) without using GPS. This problem arises from the real-world applications and is characterized by the following three challenges: 1) inaccurate devices,… read more here.
Keywords: range based; grolo; global rigidity; iot ... See more keywords