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2D Triangulation of Signals Source by Pole-Polar Geometric Models

Sensors (Basel, Switzerland), 2019-02, Vol.19 (5), p.1020 [Peer Reviewed Journal]

2019 by the authors. 2019 ;ISSN: 1424-8220 ;EISSN: 1424-8220 ;DOI: 10.3390/s19051020 ;PMID: 30818879

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  • Title:
    2D Triangulation of Signals Source by Pole-Polar Geometric Models
  • Author: Montanha, Aleksandro ; Polidorio, Airton M ; Dominguez-Mayo, F J ; Escalona, María J
  • Subjects: 2D point location ; computational geometry ; pole-polar geometry ; signal processing
  • Is Part Of: Sensors (Basel, Switzerland), 2019-02, Vol.19 (5), p.1020
  • Description: The 2D point location problem has applications in several areas, such as geographic information systems, navigation systems, motion planning, mapping, military strategy, location and tracking moves. We aim to present a new approach that expands upon current techniques and methods to locate the 2D position of a signal source sent by an emitter device. This new approach is based only on the geometric relationship between an emitter device and a system composed of m≥2 signal receiving devices. Current approaches applied to locate an emitter can be deterministic, statistical or machine-learning methods. We propose to perform this triangulation by geometric models that exploit elements of pole-polar geometry. For this purpose, we are presenting five geometric models to solve the point location problem: (1) based on centroid of points of pole-polar geometry, PPC; (2) based on convex hull region among pole-points, CHC; (3) based on centroid of points obtained by polar-lines intersections, PLI; (4) based on centroid of points obtained by tangent lines intersections, TLI; (5) based on centroid of points obtained by tangent lines intersections with minimal angles, MAI. The first one has computational cost On and whereas has the computational cost Onlognwhere n is the number of points of interest.
  • Publisher: Switzerland: MDPI
  • Language: English
  • Identifier: ISSN: 1424-8220
    EISSN: 1424-8220
    DOI: 10.3390/s19051020
    PMID: 30818879
  • Source: Geneva Foundation Free Medical Journals at publisher websites
    PubMed Central
    ROAD: Directory of Open Access Scholarly Resources
    ProQuest Central
    DOAJ Directory of Open Access Journals
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