{"id":"https://openalex.org/W3013682372","doi":"https://doi.org/10.3390/rs12071063","title":"TGF: A New MATLAB-based Software for Terrain-related Gravity Field Calculations","display_name":"TGF: A New MATLAB-based Software for Terrain-related Gravity Field Calculations","publication_year":2020,"publication_date":"2020-03-26","ids":{"openalex":"https://openalex.org/W3013682372","doi":"https://doi.org/10.3390/rs12071063","mag":"3013682372"},"language":"en","primary_location":{"id":"doi:10.3390/rs12071063","is_oa":true,"landing_page_url":"https://doi.org/10.3390/rs12071063","pdf_url":"https://www.mdpi.com/2072-4292/12/7/1063/pdf","source":{"id":"https://openalex.org/S43295729","display_name":"Remote Sensing","issn_l":"2072-4292","issn":["2072-4292"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Remote Sensing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2072-4292/12/7/1063/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5073793379","display_name":"Meng Yang","orcid":"https://orcid.org/0000-0002-6250-1965"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Meng Yang","raw_affiliation_strings":["Institute for Astronomical and Physical Geodesy, 85748 TU Munich, Germany"],"affiliations":[{"raw_affiliation_string":"Institute for Astronomical and Physical Geodesy, 85748 TU Munich, Germany","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084839161","display_name":"Christian Hirt","orcid":"https://orcid.org/0000-0002-3176-7939"},"institutions":[{"id":"https://openalex.org/I4210137766","display_name":"Institute for Advanced Study","ror":"https://ror.org/03xg85719","country_code":"DE","type":"facility","lineage":["https://openalex.org/I4210137766"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Christian Hirt","raw_affiliation_strings":["Institute for Advanced Study, 85748 TU Munich, Germany","Institute for Astronomical and Physical Geodesy, 85748 TU Munich, Germany"],"affiliations":[{"raw_affiliation_string":"Institute for Advanced Study, 85748 TU Munich, Germany","institution_ids":["https://openalex.org/I4210137766"]},{"raw_affiliation_string":"Institute for Astronomical and Physical Geodesy, 85748 TU Munich, Germany","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040919680","display_name":"Roland Pail","orcid":"https://orcid.org/0000-0002-4364-4012"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Roland Pail","raw_affiliation_strings":["Institute for Astronomical and Physical Geodesy, 85748 TU Munich, Germany"],"affiliations":[{"raw_affiliation_string":"Institute for Astronomical and Physical Geodesy, 85748 TU Munich, Germany","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5073793379"],"corresponding_institution_ids":[],"apc_list":{"value":2500,"currency":"CHF","value_usd":2707},"apc_paid":{"value":1661,"currency":"EUR","value_usd":1791},"fwci":2.775,"has_fulltext":true,"cited_by_count":22,"citation_normalized_percentile":{"value":0.88994181,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":98},"biblio":{"volume":"12","issue":"7","first_page":"1063","last_page":"1063"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11405","display_name":"Geophysics and Gravity Measurements","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1910","display_name":"Oceanography"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11405","display_name":"Geophysics and Gravity Measurements","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1910","display_name":"Oceanography"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10572","display_name":"Geophysical and Geoelectrical Methods","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11786","display_name":"Geomagnetism and Paleomagnetism Studies","score":0.9934999942779541,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/gravitational-field","display_name":"Gravitational field","score":0.634384036064148},{"id":"https://openalex.org/keywords/terrain","display_name":"Terrain","score":0.550210177898407},{"id":"https://openalex.org/keywords/digital-elevation-model","display_name":"Digital elevation model","score":0.47335243225097656},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.4703676402568817},{"id":"https://openalex.org/keywords/geodesy","display_name":"Geodesy","score":0.46747398376464844},{"id":"https://openalex.org/keywords/gravity-anomaly","display_name":"Gravity anomaly","score":0.4479510188102722},{"id":"https://openalex.org/keywords/software","display_name":"Software","score":0.44002485275268555},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42302900552749634},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.40811020135879517},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4023820161819458},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.3801911175251007},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3744182586669922},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2227148413658142},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.20472422242164612},{"id":"https://openalex.org/keywords/remote-sensing","display_name":"Remote sensing","score":0.20000746846199036},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.13001525402069092},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.1283688247203827}],"concepts":[{"id":"https://openalex.org/C14257148","wikidata":"https://www.wikidata.org/wiki/Q558066","display_name":"Gravitational field","level":2,"score":0.634384036064148},{"id":"https://openalex.org/C161840515","wikidata":"https://www.wikidata.org/wiki/Q186131","display_name":"Terrain","level":2,"score":0.550210177898407},{"id":"https://openalex.org/C181843262","wikidata":"https://www.wikidata.org/wiki/Q640492","display_name":"Digital elevation model","level":2,"score":0.47335243225097656},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4703676402568817},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.46747398376464844},{"id":"https://openalex.org/C96342900","wikidata":"https://www.wikidata.org/wiki/Q1413914","display_name":"Gravity anomaly","level":3,"score":0.4479510188102722},{"id":"https://openalex.org/C2777904410","wikidata":"https://www.wikidata.org/wiki/Q7397","display_name":"Software","level":2,"score":0.44002485275268555},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42302900552749634},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.40811020135879517},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4023820161819458},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.3801911175251007},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3744182586669922},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2227148413658142},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.20472422242164612},{"id":"https://openalex.org/C62649853","wikidata":"https://www.wikidata.org/wiki/Q199687","display_name":"Remote sensing","level":1,"score":0.20000746846199036},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.13001525402069092},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.1283688247203827},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C58640448","wikidata":"https://www.wikidata.org/wiki/Q42515","display_name":"Cartography","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C2776364302","wikidata":"https://www.wikidata.org/wiki/Q1845437","display_name":"Oil field","level":2,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3390/rs12071063","is_oa":true,"landing_page_url":"https://doi.org/10.3390/rs12071063","pdf_url":"https://www.mdpi.com/2072-4292/12/7/1063/pdf","source":{"id":"https://openalex.org/S43295729","display_name":"Remote Sensing","issn_l":"2072-4292","issn":["2072-4292"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Remote Sensing","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:570fa3580ecd4651bf4698ae41806b7b","is_oa":true,"landing_page_url":"https://doaj.org/article/570fa3580ecd4651bf4698ae41806b7b","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Remote Sensing, Vol 12, Iss 7, p 1063 (2020)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2072-4292/12/7/1063/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/rs12071063","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Remote Sensing; Volume 12; Issue 7; Pages: 1063","raw_type":"Text"},{"id":"pmh:oai:mediatum.ub.tum.de:node/1594057","is_oa":true,"landing_page_url":"https://mediatum.ub.tum.de/1594057","pdf_url":null,"source":{"id":"https://openalex.org/S4377196330","display_name":"mediaTUM  (Technical University of Munich)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I62916508","host_organization_name":"Technical University of Munich","host_organization_lineage":["https://openalex.org/I62916508"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/rs12071063","is_oa":true,"landing_page_url":"https://doi.org/10.3390/rs12071063","pdf_url":"https://www.mdpi.com/2072-4292/12/7/1063/pdf","source":{"id":"https://openalex.org/S43295729","display_name":"Remote Sensing","issn_l":"2072-4292","issn":["2072-4292"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Remote Sensing","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/14","score":0.8199999928474426,"display_name":"Life below water"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3013682372.pdf","grobid_xml":"https://content.openalex.org/works/W3013682372.grobid-xml"},"referenced_works_count":41,"referenced_works":["https://openalex.org/W959451776","https://openalex.org/W1511720900","https://openalex.org/W1563221476","https://openalex.org/W1885907658","https://openalex.org/W1917521316","https://openalex.org/W1919786463","https://openalex.org/W1973849276","https://openalex.org/W1999058978","https://openalex.org/W2012208288","https://openalex.org/W2033885968","https://openalex.org/W2052478747","https://openalex.org/W2056479308","https://openalex.org/W2060173986","https://openalex.org/W2061250918","https://openalex.org/W2061856634","https://openalex.org/W2089173587","https://openalex.org/W2093362200","https://openalex.org/W2113354127","https://openalex.org/W2124652058","https://openalex.org/W2163334886","https://openalex.org/W2251573437","https://openalex.org/W2399727791","https://openalex.org/W2460663601","https://openalex.org/W2508962325","https://openalex.org/W2514202649","https://openalex.org/W2578373573","https://openalex.org/W2605959084","https://openalex.org/W2620109964","https://openalex.org/W2747408742","https://openalex.org/W2796304525","https://openalex.org/W2801424982","https://openalex.org/W2802456841","https://openalex.org/W2895473810","https://openalex.org/W2909692245","https://openalex.org/W2939182103","https://openalex.org/W2945266907","https://openalex.org/W2961856072","https://openalex.org/W4255340434","https://openalex.org/W6743684444","https://openalex.org/W6750840227","https://openalex.org/W6918102396"],"related_works":["https://openalex.org/W1992962589","https://openalex.org/W3032871857","https://openalex.org/W1743191351","https://openalex.org/W3104633800","https://openalex.org/W3023567978","https://openalex.org/W2069184433","https://openalex.org/W2380881626","https://openalex.org/W2385259984","https://openalex.org/W3008711466","https://openalex.org/W2345275082"],"abstract_inverted_index":{"With":[0],"knowledge":[1],"of":[2,6,25,35,83,100,120,144,151,175,189,208,213,254,279,319],"geometry":[3],"and":[4,20,58,115,126,128,154,181,185,196,225,241,249,270,277,291,345],"density-distribution":[5],"topography,":[7],"the":[8,23,26,33,53,64,85,97,105,109,157,161,187,190,202,210,222,232,238,260,266,274,296,301,317,330,337],"residual":[9],"terrain":[10,74],"modelling":[11,62,150,348],"(RTM)":[12],"technique":[13],"has":[14,287],"been":[15,288,293],"broadly":[16],"applied":[17,294],"in":[18,39,52,63,295,336,343],"geodesy":[19],"geophysics":[21],"for":[22,273,321,340],"determination":[24],"high-frequency":[27],"gravity":[28,60,75,86,101,152,169,211,216,308],"field":[29,76,87,102,153,170,212,217],"signals.":[30],"Depending":[31,95],"on":[32,96,141,264],"size":[34],"investigation":[36],"areas,":[37],"challenges":[38],"computational":[40],"efficiency":[41],"are":[42,244,282],"encountered":[43],"when":[44],"using":[45],"an":[46,90],"ultra-high-resolution":[47],"digital":[48,182],"elevation":[49],"model":[50],"(DEM)":[51],"Newtonian":[54],"integration.":[55],"For":[56],"efficient":[57],"accurate":[59,149],"forward":[61,347],"spatial":[65,132,275],"domain,":[66],"we":[67],"developed":[68],"a":[69],"new":[70,79],"MATLAB-based":[71],"program":[72],"called,":[73],"(TGF).":[77],"Our":[78],"software":[80,163,204,234,286,332],"is":[81,205,235],"capable":[82,207],"calculating":[84],"generated":[88],"by":[89,192,219],"arbitrary":[91],"topographic":[92,215],"mass-density":[93],"distribution.":[94],"attenuation":[98],"character":[99],"with":[103,130,323,327],"distance,":[104],"adaptive":[106],"algorithm":[107],"divides":[108],"integration":[110],"masses":[111,220],"into":[112],"four":[113,118],"zones,":[114],"adaptively":[116],"combines":[117],"types":[119,174],"geometries":[121],"(i.e.,":[122],"polyhedron,":[123],"prism,":[124],"tesseroid":[125],"point-mass)":[127],"DEMs":[129],"different":[131],"resolutions.":[133],"Compared":[134],"to":[135,165,200,237,299,306],"some":[136],"publicly":[137],"available":[138],"algorithms":[139],"depending":[140],"one":[142],"type":[143],"geometric":[145],"approximation,":[146],"this":[147,230,328],"enables":[148],"greatly":[155],"reduces":[156],"computation":[158,313],"time.":[159],"Besides,":[160],"TGF":[162,203,233,255,285,320,331],"allows":[164],"calculate":[166],"ten":[167],"independent":[168],"functionals,":[171],"supports":[172],"two":[173],"density":[176,179,183],"inputs":[177],"(constant":[178],"value":[180],"map),":[184],"considers":[186],"curvature":[188],"Earth":[191],"involving":[193],"spherical":[194],"approximation":[195],"ellipsoidal":[197],"approximation.":[198],"Further":[199],"this,":[201],"also":[206],"delivering":[209],"full-scale":[214],"implied":[218,307],"between":[221,268],"Earth\u2019s":[223],"surface":[224],"mean":[226],"sea":[227],"level.":[228,262],"In":[229],"contribution,":[231],"introduced":[236],"geoscience":[239],"community":[240],"its":[242,257],"capabilities":[243],"explained.":[245],"Results":[246],"from":[247],"internal":[248],"external":[250],"numerical":[251],"validation":[252],"experiments":[253],"confirmed":[256],"accuracy":[258,269],"at":[259,310],"sub-mGal":[261],"Based":[263],"TGF,":[265],"trade-off":[267],"efficiency,":[271],"values":[272],"resolution":[276],"extension":[278],"topography":[280,305],"models":[281],"recommended.":[283],"The":[284],"extensively":[289],"tested":[290],"recently":[292],"SRTM2gravity":[297],"project":[298],"convert":[300],"global":[302],"3\u201d":[303],"SRTM":[304],"effects":[309],"28":[311],"billion":[312],"points.":[314],"This":[315],"confirms":[316],"capability":[318],"dealing":[322],"large":[324],"datasets.":[325],"Together":[326],"paper,":[329],"will":[333],"be":[334],"released":[335],"public":[338],"domain":[339],"free":[341],"use":[342],"geodetic":[344],"geophysical":[346],"computations.":[349]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":6}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}