Shapes from echoes: uniqueness from point-to-plane distance matrices

Kreković, Miranda and Dokmanić, Ivan and Vetterli, Martin. (2020) Shapes from echoes: uniqueness from point-to-plane distance matrices. IEEE Transactions on Signal Processing, 68. pp. 2480-2498.

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Official URL: https://edoc.unibas.ch/81805/

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We study the problem of localizing a configuration of points and planes from the collection of point-to-plane distances. This problem models simultaneous localization and mapping from acoustic echoes as well as the “structure from sound” approach to microphone localization with unknown sources. In our earlier work we proposed computational methods for localization from point-to-plane distances and noted that such localization suffers from various ambiguities beyond the usual rigid body motions; in this paper we provide a complete characterization of uniqueness. We enumerate all cases of configurations which lead to the same distance measurements as a function of the number of planes and points, and algebraically characterize the related transformations in both 2D and 3D.
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Informatik > Signal and Data Analytics (Dokmanic)
UniBasel Contributors:Dokmanić, Ivan
Item Type:Article, refereed
Article Subtype:Research Article
Note:Publication type according to Uni Basel Research Database: Journal article
Last Modified:20 Oct 2021 12:14
Deposited On:20 Oct 2021 12:14

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