{"id":"https://openalex.org/W4389334888","doi":"https://doi.org/10.1145/3618345","title":"Meshes with Spherical Faces","display_name":"Meshes with Spherical Faces","publication_year":2023,"publication_date":"2023-12-05","ids":{"openalex":"https://openalex.org/W4389334888","doi":"https://doi.org/10.1145/3618345"},"language":"en","primary_location":{"id":"doi:10.1145/3618345","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3618345","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3618345","source":{"id":"https://openalex.org/S185367456","display_name":"ACM Transactions on Graphics","issn_l":"0730-0301","issn":["0730-0301","1557-7368"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Graphics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3618345","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5032757922","display_name":"Martin Kilian","orcid":"https://orcid.org/0000-0002-0374-0966"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Martin Kilian","raw_affiliation_strings":["TU Wien, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"TU Wien, Austria","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025909985","display_name":"A. Ramos","orcid":"https://orcid.org/0000-0001-5430-6193"},"institutions":[{"id":"https://openalex.org/I71920554","display_name":"King Abdullah University of Science and Technology","ror":"https://ror.org/01q3tbs38","country_code":"SA","type":"education","lineage":["https://openalex.org/I71920554"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Anthony S Ramos Cisneros","raw_affiliation_strings":["KAUST, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"KAUST, Saudi Arabia","institution_ids":["https://openalex.org/I71920554"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111605075","display_name":"Christian M\u00fcller","orcid":null},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Christian M\u00fcller","raw_affiliation_strings":["TU Wien, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"TU Wien, Austria","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085957036","display_name":"Helmut Pottmann","orcid":"https://orcid.org/0000-0002-3195-9316"},"institutions":[{"id":"https://openalex.org/I71920554","display_name":"King Abdullah University of Science and Technology","ror":"https://ror.org/01q3tbs38","country_code":"SA","type":"education","lineage":["https://openalex.org/I71920554"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Helmut Pottmann","raw_affiliation_strings":["KAUST, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"KAUST, Saudi Arabia","institution_ids":["https://openalex.org/I71920554"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5032757922"],"corresponding_institution_ids":["https://openalex.org/I145847075"],"apc_list":null,"apc_paid":null,"fwci":1.0065,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.72201879,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"42","issue":"6","first_page":"1","last_page":"19"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9987999796867371,"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":0.9987999796867371,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9973000288009644,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9954000115394592,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.8884386420249939},{"id":"https://openalex.org/keywords/volume-mesh","display_name":"Volume mesh","score":0.7922894954681396},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5579365491867065},{"id":"https://openalex.org/keywords/spheres","display_name":"SPHERES","score":0.5422320365905762},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.5378756523132324},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.5016379356384277},{"id":"https://openalex.org/keywords/hexahedron","display_name":"Hexahedron","score":0.48378559947013855},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.47891128063201904},{"id":"https://openalex.org/keywords/polyhedron","display_name":"Polyhedron","score":0.45775991678237915},{"id":"https://openalex.org/keywords/quadrilateral","display_name":"Quadrilateral","score":0.43834421038627625},{"id":"https://openalex.org/keywords/dodecahedron","display_name":"Dodecahedron","score":0.4323425889015198},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.20838025212287903},{"id":"https://openalex.org/keywords/mesh-generation","display_name":"Mesh generation","score":0.18080538511276245},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17330175638198853}],"concepts":[{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.8884386420249939},{"id":"https://openalex.org/C170589453","wikidata":"https://www.wikidata.org/wiki/Q7940896","display_name":"Volume mesh","level":4,"score":0.7922894954681396},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5579365491867065},{"id":"https://openalex.org/C72422203","wikidata":"https://www.wikidata.org/wiki/Q7392545","display_name":"SPHERES","level":2,"score":0.5422320365905762},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.5378756523132324},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.5016379356384277},{"id":"https://openalex.org/C22411076","wikidata":"https://www.wikidata.org/wiki/Q668113","display_name":"Hexahedron","level":3,"score":0.48378559947013855},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.47891128063201904},{"id":"https://openalex.org/C54829058","wikidata":"https://www.wikidata.org/wiki/Q172937","display_name":"Polyhedron","level":2,"score":0.45775991678237915},{"id":"https://openalex.org/C151756577","wikidata":"https://www.wikidata.org/wiki/Q36810","display_name":"Quadrilateral","level":3,"score":0.43834421038627625},{"id":"https://openalex.org/C94239619","wikidata":"https://www.wikidata.org/wiki/Q178296","display_name":"Dodecahedron","level":2,"score":0.4323425889015198},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.20838025212287903},{"id":"https://openalex.org/C181145010","wikidata":"https://www.wikidata.org/wiki/Q4418033","display_name":"Mesh generation","level":3,"score":0.18080538511276245},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17330175638198853},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3618345","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3618345","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3618345","source":{"id":"https://openalex.org/S185367456","display_name":"ACM Transactions on Graphics","issn_l":"0730-0301","issn":["0730-0301","1557-7368"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Graphics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1145/3618345","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3618345","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3618345","source":{"id":"https://openalex.org/S185367456","display_name":"ACM Transactions on Graphics","issn_l":"0730-0301","issn":["0730-0301","1557-7368"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Graphics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5890139025","display_name":null,"funder_award_id":"I 2978","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G6984353559","display_name":null,"funder_award_id":"I 2978","funder_id":"https://openalex.org/F4320322320","funder_display_name":"King Abdullah University of Science and Technology"}],"funders":[{"id":"https://openalex.org/F4320321181","display_name":"Austrian Science Fund","ror":"https://ror.org/013tf3c58"},{"id":"https://openalex.org/F4320322320","display_name":"King Abdullah University of Science and Technology","ror":"https://ror.org/01q3tbs38"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4389334888.pdf","grobid_xml":"https://content.openalex.org/works/W4389334888.grobid-xml"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W1976955994","https://openalex.org/W1977101402","https://openalex.org/W2009842483","https://openalex.org/W2015136530","https://openalex.org/W2049440260","https://openalex.org/W2052790699","https://openalex.org/W2055410695","https://openalex.org/W2059217294","https://openalex.org/W2071014748","https://openalex.org/W2087070363","https://openalex.org/W2110725173","https://openalex.org/W2124877068","https://openalex.org/W2126495888","https://openalex.org/W2150490690","https://openalex.org/W2170977170","https://openalex.org/W2402642024","https://openalex.org/W2501878982","https://openalex.org/W2552247836","https://openalex.org/W2902583282","https://openalex.org/W2917557921","https://openalex.org/W2960856481","https://openalex.org/W2985211240","https://openalex.org/W3033437194","https://openalex.org/W3136222667","https://openalex.org/W3136869583","https://openalex.org/W3137369665","https://openalex.org/W3139495523","https://openalex.org/W3158308937","https://openalex.org/W3165851928","https://openalex.org/W3177948884","https://openalex.org/W3180312704","https://openalex.org/W3185430946","https://openalex.org/W4211099560","https://openalex.org/W4242943680","https://openalex.org/W4385283654"],"related_works":["https://openalex.org/W3203917816","https://openalex.org/W3197807585","https://openalex.org/W4387994779","https://openalex.org/W2186513065","https://openalex.org/W1984890680","https://openalex.org/W1968280469","https://openalex.org/W1994167985","https://openalex.org/W2241292636","https://openalex.org/W1968086293","https://openalex.org/W2119558010"],"abstract_inverted_index":{"Discrete":[0],"surfaces":[1],"with":[2,51,106,118,153,166,180],"spherical":[3,52,82,168,212],"faces":[4,53,155],"are":[5,28],"interesting":[6],"from":[7,31,183],"a":[8,37,97,126,172,216],"simplified":[9],"manufacturing":[10],"viewpoint":[11],"when":[12],"compared":[13],"to":[14,36,80,140,159,175,191,201],"other":[15],"double":[16],"curved":[17,147],"face":[18],"shapes.":[19],"Furthermore,":[20,149],"by":[21,71,84,121,135,162],"the":[22,32,60,78,89,136,196,209,220],"nature":[23],"of":[24,67,91,111,125,156,199,205,211,219],"their":[25,85],"definition":[26],"they":[27],"also":[29],"appealing":[30],"theoretical":[33],"side":[34],"leading":[35],"M\u00f6bius":[38,61],"invariant":[39],"discrete":[40],"surface":[41,128,137],"theory.":[42],"We":[43,87,114],"therefore":[44],"systematically":[45],"describe":[46],"so":[47],"called":[48],"sphere":[49,92,116,160,178,185,192],"meshes":[50,93,105,117,152,161,179,190,193],"and":[54,101,129,170],"circular":[55,154],"arcs":[56],"as":[57],"edges":[58],"where":[59],"transformation":[62],"group":[63],"acts":[64],"on":[65],"all":[66,103,157],"its":[68,164],"elements.":[69],"Driven":[70],"aspects":[72],"important":[73],"for":[74,96],"manufacturing,":[75],"we":[76,150,194],"provide":[77,171,215],"means":[79],"cluster":[81],"panels":[83,213],"radii.":[86],"investigate":[88],"generation":[90],"which":[94],"allow":[95],"geometric":[98],"support":[99,181],"structure":[100,182],"characterize":[102],"such":[104],"triangular":[107],"combinatorics":[108,120,158],"in":[109,145],"terms":[110],"non-Euclidean":[112],"geometries.":[113],"generate":[115],"hexagonal":[119],"intersecting":[122],"tangential":[123],"spheres":[124,207],"reference":[127],"let":[130],"them":[131],"evolve":[132],"-":[133,139],"guided":[134],"curvature":[138],"visually":[141],"convex":[142],"hexagons,":[143],"even":[144],"negatively":[146],"areas.":[148],"extend":[151],"filling":[163],"circles":[165],"suitable":[167],"caps":[169],"remeshing":[173],"scheme":[174],"obtain":[176],"quadrilateral":[177],"given":[184],"congruences.":[186],"By":[187],"broadening":[188],"polyhedral":[189],"exploit":[195],"additional":[197],"degrees":[198],"freedom":[200],"minimize":[202],"intersection":[203],"angles":[204],"neighboring":[206],"enabling":[208],"use":[210],"that":[214],"softer":[217],"perception":[218],"overall":[221],"surface.":[222]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2}],"updated_date":"2026-05-21T09:19:25.381259","created_date":"2025-10-10T00:00:00"}
