The Algebro-geometric Study of Range Maps
2017 (English)In: Journal of nonlinear science, ISSN 0938-8974, E-ISSN 1432-1467, Vol. 27, no 1, 99-157 p.Article in journal (Refereed) Published
Localizing a radiant source is a problem of great interest to many scientific and technological research areas. Localization based on range measurements is at the core of technologies such as radar, sonar and wireless sensor networks. In this manuscript, we offer an in-depth study of the model for source localization based on range measurements obtained from the source signal, from the point of view of algebraic geometry. In the case of three receivers, we find unexpected connections between this problem and the geometry of Kummers and Cayleys surfaces. Our work also gives new insights into the localization based on range differences.
Place, publisher, year, edition, pages
SPRINGER , 2017. Vol. 27, no 1, 99-157 p.
Source localization model; Range maps; Kummers surfaces; Applied algebraic geometry
IdentifiersURN: urn:nbn:se:liu:diva-135722DOI: 10.1007/s00332-016-9327-4ISI: 000393828900004OAI: oai:DiVA.org:liu-135722DiVA: diva2:1082753