A Drone Can Hear the Shape of a Room

DOI10.1137/19M1248534zbMath1433.51010arXiv1901.10472WikidataQ114615467 ScholiaQ114615467MaRDI QIDQ5215537

Gregor Kemper, Mireille Boutin

Publication date: 12 February 2020

Published in: SIAM Journal on Applied Algebra and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.10472

zbMATH Keywords

shape reconstructionecho sortinggeometry from echoes

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Distance geometry (51K99) Geometric constructions in real or complex geometry (51M15) Machine vision and scene understanding (68T45) Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) (13P25)

Related Items (1)

Can a ground‐based vehicle hear the shape of a room?

Uses Software

• Magma
• SINGULAR

Cites Work

• Unnamed Item
• The Magma algebra system. I: The user language
• On reconstructing \(n\)-point configurations from the distribution of distances or areas
• Shapes From Echoes: Uniqueness From Point-to-Plane Distance Matrices

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