The algebro-geometric study of range maps

Autor:	Compagnoni, Marco, Notari, Roberto, Ruggiu, Andrea Alessandro, Antonacci, Fabio, Sarti, Augusto
Rok vydání:	2016
Předmět:	Mathematics - Algebraic Geometry Computer Science - Information Theory Computer Science - Sound
Zdroj:	Journal of Nonlinear Science (2017) 27: 99-157
Druh dokumentu:	Working Paper
DOI:	10.1007/s00332-016-9327-4
Popis:	Localizing a radiant source is a widespread problem to many scientific and technological research areas. E.g. localization based on range measurements stays at the core of technologies like radar, sonar and wireless sensors networks. In this manuscript we study in depth 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 gives new insights also on the localization based on range differences. Comment: 38 pages, 18 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1604.08076 Zobrazit plný text záznamu View this record from Arxiv