{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,2]],"date-time":"2024-09-02T05:08:57Z","timestamp":1725253737392},"reference-count":86,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","license":[{"start":{"date-parts":[[2015,1,1]],"date-time":"2015-01-01T00:00:00Z","timestamp":1420070400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/3.0\/legalcode"}],"funder":[{"name":"National Science Foundation (NSF) CAREER","award":["CCF-1350264"],"award-info":[{"award-number":["CCF-1350264"]}]},{"name":"NSF","award":["CCF-1011903","ECCS-1408222"],"award-info":[{"award-number":["CCF-1011903","ECCS-1408222"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Access"],"published-print":{"date-parts":[[2015]]},"DOI":"10.1109\/access.2015.2464812","type":"journal-article","created":{"date-parts":[[2015,8,12]],"date-time":"2015-08-12T22:24:06Z","timestamp":1439418246000},"page":"1326-1339","source":"Crossref","is-referenced-by-count":20,"title":["Linear Theory for Self-Localization: Convexity, Barycentric Coordinates, and Cayley\u2013Menger Determinants"],"prefix":"10.1109","volume":"3","author":[{"given":"Usman A.","family":"Khan","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Soummya","family":"Kar","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jose M. F.","family":"Moura","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"ref73","doi-asserted-by":"publisher","DOI":"10.1080\/002073900412679"},{"key":"ref72","article-title":"Localization and tracking in mobile networks: Virtual convex hulls and beyond","author":"safavi","year":"2015"},{"key":"ref71","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2014.2339797"},{"key":"ref70","doi-asserted-by":"publisher","DOI":"10.1109\/ASCC.2013.6606117"},{"key":"ref76","first-page":"267","article-title":"On a theorem in the geometry of position","volume":"2","author":"cayley","year":"1841","journal-title":"Cambridge Math J"},{"key":"ref77","doi-asserted-by":"publisher","DOI":"10.2307\/2302400"},{"key":"ref74","author":"fauvel","year":"1993","journal-title":"Möbius and His Band Mathematics and Astronomy in Nineteenth-Century Germany"},{"key":"ref39","first-page":"2037","article-title":"Location in distributed ad-hoc wireless sensor networks","author":"savarese","year":"2001","journal-title":"Proc IEEE ICASSP"},{"key":"ref75","doi-asserted-by":"publisher","DOI":"10.1007\/s10444-004-7611-6"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1109\/ICNP.2001.992758"},{"key":"ref78","author":"sommerville","year":"1958","journal-title":"An Introduction to the Geometry of N-Dimensions"},{"key":"ref79","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.83.8.2283"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1109\/GLOCOM.2001.965964"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1109\/MED.2009.5164727"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1007\/s11081-008-9072-0"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1145\/1149283.1149286"},{"key":"ref37","author":"caffery","year":"1999","journal-title":"Wireless Location in CDMA Cellular Radio Systems"},{"key":"ref36","first-page":"333","article-title":"Organizing a global coordinate system from local information on an ad hoc sensor network","author":"nagpal","year":"2003","journal-title":"Proc 2nd Int Workshop Inf Process Sensor Netw"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1145\/570738.570755"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1145\/381677.381693"},{"key":"ref60","first-page":"1015","article-title":"Bayesian map learning in dynamic environments","author":"murphy","year":"2000","journal-title":"Neural Information Processing Systems"},{"key":"ref62","first-page":"593","article-title":"FastSLAM: A factored solution to the simultaneous localization and mapping problem","author":"montemerlo","year":"2002","journal-title":"Proc 18th Nat Conf Artif Intell"},{"key":"ref61","doi-asserted-by":"publisher","DOI":"10.1109\/70.938381"},{"key":"ref63","author":"springer","year":"1957","journal-title":"Introduction to Riemann Surfaces"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2007.909342"},{"key":"ref64","author":"hocking","year":"1961","journal-title":"Topology"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1109\/TMC.2006.174"},{"key":"ref65","doi-asserted-by":"publisher","DOI":"10.1109\/ALLERTON.2008.4797580"},{"key":"ref66","doi-asserted-by":"publisher","DOI":"10.1109\/ACSSC.2008.5074597"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1137\/100792366"},{"key":"ref67","doi-asserted-by":"publisher","DOI":"10.1109\/ALLERTON.2009.5394801"},{"key":"ref68","doi-asserted-by":"publisher","DOI":"10.1109\/CAMSAP.2009.5413237"},{"key":"ref69","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2009.2038423"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1016\/j.comnet.2010.05.010"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2009.2014812"},{"key":"ref20","doi-asserted-by":"crossref","first-page":"348","DOI":"10.1155\/S1110865703212063","article-title":"A self-localization method for wireless sensor networks","author":"moses","year":"2003","journal-title":"EURASIP J Appl Signal Process"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1145\/778415.778439"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2011.2161302"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1109\/TRO.2004.833793"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1109\/INFCOM.2004.1354683"},{"key":"ref26","doi-asserted-by":"crossref","first-page":"2323","DOI":"10.1126\/science.290.5500.2323","article-title":"Nonlinear dimensionality reduction by locally linear embedding","volume":"290","author":"roweis","year":"2000","journal-title":"Science"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2005.1582592"},{"key":"ref50","doi-asserted-by":"publisher","DOI":"10.1145\/504729.504754"},{"key":"ref51","doi-asserted-by":"publisher","DOI":"10.1109\/TWC.2009.080887"},{"key":"ref59","doi-asserted-by":"publisher","DOI":"10.1177\/0278364913503892"},{"key":"ref58","doi-asserted-by":"publisher","DOI":"10.1007\/11426646_7"},{"key":"ref57","doi-asserted-by":"publisher","DOI":"10.1145\/990064.990088"},{"key":"ref56","doi-asserted-by":"publisher","DOI":"10.1145\/1031495.1031502"},{"key":"ref55","doi-asserted-by":"publisher","DOI":"10.1109\/INFCOM.2000.832252"},{"key":"ref54","doi-asserted-by":"publisher","DOI":"10.1145\/345910.345917"},{"key":"ref53","doi-asserted-by":"publisher","DOI":"10.1145\/633292.633453"},{"key":"ref52","article-title":"A line in the sand: A wireless sensor network for target detection, classification, and tracking","author":"arora","year":"2003"},{"key":"ref10","year":"2013","journal-title":"History of Navigation"},{"key":"ref11","year":"2013","journal-title":"Sextant"},{"key":"ref40","article-title":"GPS-free positioning in mobile ad-hoc networks","author":"?apkun","year":"2001","journal-title":"Proc 34th IEEE Hawaii Int Conf Syst Sci"},{"key":"ref12","author":"johnson","year":"2008","journal-title":"Solving Stonehenge The Key to an Ancient Enigma"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1098\/rsnr.2008.0029"},{"key":"ref14","author":"schlereth","year":"2000","journal-title":"Celestial Navigation in a Nutshell"},{"key":"ref15","author":"sumner","year":"1851","journal-title":"A New and Accurate Method of Finding a Ship’s Position at Sea by Projection on Mercator’s Chart"},{"key":"ref82","author":"sloane","year":"1973","journal-title":"A Handbook of Integer Sequences"},{"key":"ref16","first-page":"41","article-title":"Note sur la détermination du point","volume":"39","author":"marcq-saint-hilaire","year":"1873","journal-title":"Rev Maritime Coloniale"},{"key":"ref81","doi-asserted-by":"publisher","DOI":"10.2307\/2371222"},{"key":"ref17","author":"marcq-saint-hilaire","year":"1875","journal-title":"Calcul du Point Observé"},{"key":"ref84","author":"berman","year":"1970","journal-title":"Nonnegative Matrices in the Mathematical Sciences"},{"key":"ref18","author":"misra","year":"2011","journal-title":"Global Positioning System Signals Measurements and Performance"},{"key":"ref83","article-title":"Location estimation in sensor networks","author":"patwari","year":"2005"},{"key":"ref19","article-title":"Positioning in wireless networks: Non-cooperative and cooperative algorithms","author":"destino","year":"2012"},{"key":"ref80","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-011-0924-6_17"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1098\/rstl.1787.0018"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1007\/s11227-011-0693-2"},{"key":"ref6","doi-asserted-by":"crossref","DOI":"10.54419\/woqxba","author":"haasbroek","year":"1968","journal-title":"Gemma Frisius Tycho Brahe and Snellius and Their Triangulations"},{"key":"ref5","author":"dale","year":"1995","journal-title":"Cadastral Surveys and Records of Rights in Land Based on a 1953 Study by Sir Bernard O Binns"},{"key":"ref85","author":"bertsekas","year":"1989","journal-title":"Parallel and Distributed Computations"},{"key":"ref8","first-page":"1660","author":"konvitz","year":"1987","journal-title":"Cartography in France"},{"key":"ref86","author":"grinstead","year":"1997","journal-title":"Introduction to Probability"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1017\/S0373463300042211"},{"key":"ref49","doi-asserted-by":"publisher","DOI":"10.1145\/984622.984637"},{"key":"ref9","article-title":"Accuracy, rhetoric, and technology: The Paris-Greenwich triangulation, 1784–88","author":"widmalm","year":"1990","journal-title":"The Quantifying Spirit in the 18th Century Chapter 6"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(85)90187-9"},{"key":"ref45","first-page":"1","article-title":"Euclidean distance geometry","volume":"7","author":"gower","year":"1982","journal-title":"Math Sci"},{"key":"ref48","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1145\/1023720.1023726","article-title":"Localization for mobile sensor networks","author":"hu","year":"2004","journal-title":"Proc IEEE Mobicom"},{"key":"ref47","first-page":"iii-861","article-title":"Nonparametric belief propagation for sensor self-calibration","author":"ihler","year":"2004","journal-title":"Proc IEEE ICASSP"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1007\/s11276-007-0034-9"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1145\/1614379.1614383"},{"key":"ref44","first-page":"7824","article-title":"Distributed localization via barycentric coordinates: Finite-time convergence","author":"deghat","year":"2011","journal-title":"Proc 18th IFAC World Congr"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1137\/070679144"}],"container-title":["IEEE Access"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/6287639\/7042252\/07180272.pdf?arnumber=7180272","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,8,13]],"date-time":"2023-08-13T03:33:56Z","timestamp":1691897636000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/7180272\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015]]},"references-count":86,"URL":"https:\/\/doi.org\/10.1109\/access.2015.2464812","relation":{},"ISSN":["2169-3536"],"issn-type":[{"value":"2169-3536","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015]]}}}