WHICH POINT CONFIGURATIONS ARE DETERMINED BY THE DISTRIBUTION OF THEIR PAIRWISE DISTANCES?

DOI10.1142/S0218195907002239zbMath1114.65014arXivmath/0311004MaRDI QIDQ3430331

Mireille Boutin, Gregor Kemper

Publication date: 21 March 2007

Published in: International Journal of Computational Geometry & Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0311004

zbMATH Keywords

shape recognitionpartial digest problemturnpike problemdistribution of invariants

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18)

Related Items (7)

The unassigned distance geometry problem ⋮ Constructing uniquely realizable graphs ⋮ Distances and isomorphism between networks: stability and convergence of network invariants ⋮ Trilateration using unlabeled path or loop lengths ⋮ Recent results on assigned and unassigned distance geometry with applications to protein molecules and nanostructures ⋮ Assigned and unassigned distance geometry: applications to biological molecules and nanostructures ⋮ Generalized shapes and point sets correspondence and registration

Uses Software

• Magma

Cites Work

• Generalized Procrustes analysis
• A counterexample to a theorem of S. Piccard
• The Magma algebra system. I: The user language
• On reconstructing \(n\)-point configurations from the distribution of distances or areas
• Invariants of \(S_ 4\) and the shape of sets of vectors
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