{"id":"https://openalex.org/W2885075214","doi":"https://doi.org/10.1109/tvcg.2018.2861007","title":"Empirical Comparison of Curvature Estimators on Volume Images and Triangle Meshes","display_name":"Empirical Comparison of Curvature Estimators on Volume Images and Triangle Meshes","publication_year":2018,"publication_date":"2018-08-13","ids":{"openalex":"https://openalex.org/W2885075214","doi":"https://doi.org/10.1109/tvcg.2018.2861007","mag":"2885075214","pmid":"https://pubmed.ncbi.nlm.nih.gov/30059309"},"language":"en","primary_location":{"id":"doi:10.1109/tvcg.2018.2861007","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvcg.2018.2861007","pdf_url":null,"source":{"id":"https://openalex.org/S84775595","display_name":"IEEE Transactions on Visualization and Computer Graphics","issn_l":"1077-2626","issn":["1077-2626","1941-0506","2160-9306"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Visualization and Computer Graphics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5059189570","display_name":"Markus Kronenberger","orcid":"https://orcid.org/0000-0003-2152-8712"},"institutions":[{"id":"https://openalex.org/I153267046","display_name":"University of Kaiserslautern","ror":"https://ror.org/04zrf7b53","country_code":"DE","type":"education","lineage":["https://openalex.org/I153267046"]},{"id":"https://openalex.org/I3019415892","display_name":"Fraunhofer Institute for Industrial Mathematics","ror":"https://ror.org/019hjw009","country_code":"DE","type":"facility","lineage":["https://openalex.org/I3019415892","https://openalex.org/I4923324"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Markus Kronenberger","raw_affiliation_strings":["University of Kaiserslautern, Germany","Image Processing Department, Fraunhofer Institute for Industrial Mathematics, Germany"],"affiliations":[{"raw_affiliation_string":"University of Kaiserslautern, Germany","institution_ids":["https://openalex.org/I153267046"]},{"raw_affiliation_string":"Image Processing Department, Fraunhofer Institute for Industrial Mathematics, Germany","institution_ids":["https://openalex.org/I3019415892"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022027837","display_name":"Oliver Wirjadi","orcid":"https://orcid.org/0000-0002-9518-3043"},"institutions":[{"id":"https://openalex.org/I3019415892","display_name":"Fraunhofer Institute for Industrial Mathematics","ror":"https://ror.org/019hjw009","country_code":"DE","type":"facility","lineage":["https://openalex.org/I3019415892","https://openalex.org/I4923324"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Oliver Wirjadi","raw_affiliation_strings":["Image Processing Department, Fraunhofer Institute for Industrial Mathematics, Germany"],"affiliations":[{"raw_affiliation_string":"Image Processing Department, Fraunhofer Institute for Industrial Mathematics, Germany","institution_ids":["https://openalex.org/I3019415892"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005530908","display_name":"Hans Hagen","orcid":"https://orcid.org/0000-0001-5626-963X"},"institutions":[{"id":"https://openalex.org/I153267046","display_name":"University of Kaiserslautern","ror":"https://ror.org/04zrf7b53","country_code":"DE","type":"education","lineage":["https://openalex.org/I153267046"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Hans Hagen","raw_affiliation_strings":["University of Kaiserslautern, Germany","Computer Graphics and HCI Group, University of Kaiserslautern, Germany"],"affiliations":[{"raw_affiliation_string":"University of Kaiserslautern, Germany","institution_ids":["https://openalex.org/I153267046"]},{"raw_affiliation_string":"Computer Graphics and HCI Group, University of Kaiserslautern, Germany","institution_ids":["https://openalex.org/I153267046"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5059189570"],"corresponding_institution_ids":["https://openalex.org/I153267046","https://openalex.org/I3019415892"],"apc_list":null,"apc_paid":null,"fwci":1.2161,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.76609925,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"25","issue":"10","first_page":"3032","last_page":"3041"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9937999844551086,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.8928819894790649},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.7083530426025391},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.6623783707618713},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.608501136302948},{"id":"https://openalex.org/keywords/volume-mesh","display_name":"Volume mesh","score":0.6032849550247192},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5250403881072998},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.524001955986023},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.44769325852394104},{"id":"https://openalex.org/keywords/mean-curvature","display_name":"Mean curvature","score":0.4404554069042206},{"id":"https://openalex.org/keywords/mesh-generation","display_name":"Mesh generation","score":0.38589388132095337},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3198114037513733},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.30641859769821167},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.253021776676178},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10293015837669373},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09998157620429993}],"concepts":[{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.8928819894790649},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.7083530426025391},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.6623783707618713},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.608501136302948},{"id":"https://openalex.org/C170589453","wikidata":"https://www.wikidata.org/wiki/Q7940896","display_name":"Volume mesh","level":4,"score":0.6032849550247192},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5250403881072998},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.524001955986023},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44769325852394104},{"id":"https://openalex.org/C175017881","wikidata":"https://www.wikidata.org/wiki/Q1318998","display_name":"Mean curvature","level":3,"score":0.4404554069042206},{"id":"https://openalex.org/C181145010","wikidata":"https://www.wikidata.org/wiki/Q4418033","display_name":"Mesh generation","level":3,"score":0.38589388132095337},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3198114037513733},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.30641859769821167},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.253021776676178},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10293015837669373},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09998157620429993},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/tvcg.2018.2861007","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvcg.2018.2861007","pdf_url":null,"source":{"id":"https://openalex.org/S84775595","display_name":"IEEE Transactions on Visualization and Computer Graphics","issn_l":"1077-2626","issn":["1077-2626","1941-0506","2160-9306"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Visualization and Computer Graphics","raw_type":"journal-article"},{"id":"pmid:30059309","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/30059309","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on visualization and computer graphics","raw_type":null},{"id":"pmh:oai:fraunhofer.de:N-531509","is_oa":false,"landing_page_url":"http://publica.fraunhofer.de/documents/N-531509.html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400801","display_name":"Publikationsdatenbank der Fraunhofer-Gesellschaft (Fraunhofer-Gesellschaft)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4923324","host_organization_name":"Fraunhofer-Gesellschaft","host_organization_lineage":["https://openalex.org/I4923324"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Fraunhofer ITWM","raw_type":"Journal Article"},{"id":"pmh:oai:publica.fraunhofer.de:publica/255736","is_oa":false,"landing_page_url":"https://publica.fraunhofer.de/handle/publica/255736","pdf_url":null,"source":{"id":"https://openalex.org/S4306400318","display_name":"Fraunhofer-Publica (Fraunhofer-Gesellschaft)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4923324","host_organization_name":"Fraunhofer-Gesellschaft","host_organization_lineage":["https://openalex.org/I4923324"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"journal article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.8199999928474426}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W160857080","https://openalex.org/W1469033916","https://openalex.org/W1581014661","https://openalex.org/W1602508341","https://openalex.org/W1676075656","https://openalex.org/W1866660454","https://openalex.org/W1912568406","https://openalex.org/W1965560850","https://openalex.org/W1967803466","https://openalex.org/W1972131978","https://openalex.org/W2000214666","https://openalex.org/W2010106767","https://openalex.org/W2026043300","https://openalex.org/W2029185265","https://openalex.org/W2037521346","https://openalex.org/W2048436819","https://openalex.org/W2052790699","https://openalex.org/W2093027094","https://openalex.org/W2107059366","https://openalex.org/W2114729001","https://openalex.org/W2116680597","https://openalex.org/W2116707521","https://openalex.org/W2150010209","https://openalex.org/W2150719113","https://openalex.org/W2155553113","https://openalex.org/W2157653807","https://openalex.org/W2159352623","https://openalex.org/W2167502305","https://openalex.org/W2188291614","https://openalex.org/W2229412420","https://openalex.org/W2465098107","https://openalex.org/W2517665947","https://openalex.org/W2596111279","https://openalex.org/W2999146861","https://openalex.org/W3004175625","https://openalex.org/W4231110485","https://openalex.org/W4243697203","https://openalex.org/W4285719527","https://openalex.org/W4292101282","https://openalex.org/W6606592146","https://openalex.org/W6687069910","https://openalex.org/W6734738612","https://openalex.org/W6772371961","https://openalex.org/W6960268069","https://openalex.org/W7036240096"],"related_works":["https://openalex.org/W2050851932","https://openalex.org/W2184057547","https://openalex.org/W4210950568","https://openalex.org/W2381018316","https://openalex.org/W2048163432","https://openalex.org/W156011255","https://openalex.org/W2601611040","https://openalex.org/W1740070153","https://openalex.org/W2369809820","https://openalex.org/W1542092300"],"abstract_inverted_index":{"In":[0,163],"the":[1,97,115,146,201],"development":[2],"of":[3,87,100,109,114,142,160,165],"graphical":[4],"algorithms,":[5],"choosing":[6],"an":[7],"appropriate":[8],"data":[9],"representation":[10],"plays":[11],"a":[12,18,42,69,88,135,177],"pivotal":[13],"role.":[14],"Hence,":[15],"there":[16],"is":[17,188],"need":[19],"for":[20,129,203],"studies":[21],"that":[22],"support":[23],"corresponding":[24,153],"decision":[25],"making.":[26],"Here,":[27],"we":[28],"investigate":[29],"curvature":[30,104],"estimation":[31],"based":[32],"on":[33,68,169],"two":[34],"discrete":[35,117],"representations-volume":[36],"images":[37,61],"and":[38,62,83,96,102,111],"triangle":[39,63,170],"meshes-and":[40],"present":[41],"comprehensive":[43],"cross-comparison.":[44],"For":[45,181],"doing":[46],"so,":[47],"four":[48],"carefully":[49],"selected":[50],"geometries,":[51],"represented":[52],"as":[53],"implicit":[54],"functions,":[55],"have":[56],"been":[57],"discretized":[58],"to":[59,94,152],"volume":[60],"meshes":[64,171],"in":[65,75,107,196],"different":[66],"resolutions":[67],"comparable":[70],"scale.":[71],"Afterwards,":[72],"implementations":[73],"available":[74],"open-source":[76],"libraries":[77],"(CGAL,":[78],"DIPimage,":[79],"libigl,":[80],"trimesh2,":[81],"VTK)":[82],"our":[84],"own":[85],"implementation":[86],"relevant":[89],"paper":[90],"[1]":[91],"were":[92,105,172,206],"applied":[93],"them":[95],"resulting":[98],"estimations":[99],"mean":[101,138],"Gaussian":[103],"compared":[106,151],"terms":[108,164],"quality":[110],"runtime.":[112],"Independent":[113],"underlying":[116],"representation,":[118],"all":[119],"estimators":[120],"generated":[121],"similar":[122],"errors,":[123],"but":[124],"overall,":[125],"mesh-based":[126,149],"methods":[127,155,167],"allowed":[128],"more":[130],"accurate":[131],"estimations.":[132],"We":[133],"measured":[134],"maximum":[136],"normalized":[137],"absolute":[139],"error":[140],"difference":[141],"6.36":[143],"percent":[144],"between":[145],"most":[147],"precise":[148],"method":[150],"image-based":[154],"when":[156,174,191],"considering":[157,192],"only":[158],"discretizations":[159],"sufficient":[161],"resolution.":[162],"runtime,":[166],"working":[168],"faster":[173],"geometries":[175,182],"had":[176],"small":[178],"surface":[179,185],"density.":[180],"with":[183],"larger":[184],"densities,":[186],"which":[187],"fairly":[189],"common":[190],"real":[193],"data,":[194],"e.g.,":[195],"material":[197],"or":[198],"medical":[199],"science,":[200],"runtimes":[202],"both":[204],"representations":[205],"similar.":[207]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2019,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
