Title
The algebro-geometric study of range maps.
Abstract
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 Kummer’s and Cayley’s surfaces. Our work also gives new insights into the localization based on range differences.
Year
DOI
Venue
2017
https://doi.org/10.1007/s00332-016-9327-4
J. Nonlinear Science
Keywords
DocType
Volume
Source localization model,Range maps,Kummer’s surfaces,Applied algebraic geometry,14J99,14P10,51K99,94A12
Journal
abs/1604.08076
Issue
ISSN
Citations 
1
0938-8974
0
PageRank 
References 
Authors
0.34
0
5
Name
Order
Citations
PageRank
Marco Compagnoni1393.71
Roberto Notari2182.14
Andrea Alessandro Ruggiu301.01
Fabio Antonacci415624.08
Augusto Sarti546281.26