{"id":"https://openalex.org/W2902550123","doi":"https://doi.org/10.1145/3272127.3275088","title":"The shape space of discrete orthogonal geodesic nets","display_name":"The shape space of discrete orthogonal geodesic nets","publication_year":2018,"publication_date":"2018-11-28","ids":{"openalex":"https://openalex.org/W2902550123","doi":"https://doi.org/10.1145/3272127.3275088","mag":"2902550123"},"language":"en","primary_location":{"id":"doi:10.1145/3272127.3275088","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3272127.3275088","pdf_url":null,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":"hybrid","oa_url":"https://doi.org/10.1145/3272127.3275088","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5054763116","display_name":"Michael Rabinovich","orcid":"https://orcid.org/0000-0002-1215-9591"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"Michael Rabinovich","raw_affiliation_strings":["ETH Zurich, Switzerland"],"affiliations":[{"raw_affiliation_string":"ETH Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020935099","display_name":"Tim Hoffmann","orcid":"https://orcid.org/0009-0008-9998-0868"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tim Hoffmann","raw_affiliation_strings":["TU Munich"],"affiliations":[{"raw_affiliation_string":"TU Munich","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064927253","display_name":"Olga Sorkine\u2010Hornung","orcid":"https://orcid.org/0000-0002-8089-3974"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Olga Sorkine-Hornung","raw_affiliation_strings":["ETH Zurich, Switzerland"],"affiliations":[{"raw_affiliation_string":"ETH Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5054763116"],"corresponding_institution_ids":["https://openalex.org/I35440088"],"apc_list":null,"apc_paid":null,"fwci":3.0402,"has_fulltext":false,"cited_by_count":36,"citation_normalized_percentile":{"value":0.91761683,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"37","issue":"6","first_page":"1","last_page":"17"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9998000264167786,"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":0.9998000264167786,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9988999962806702,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/geodesic","display_name":"Geodesic","score":0.7308533787727356},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6405267119407654},{"id":"https://openalex.org/keywords/tangent-space","display_name":"Tangent space","score":0.5528836846351624},{"id":"https://openalex.org/keywords/digital-geometry","display_name":"Digital geometry","score":0.5217514634132385},{"id":"https://openalex.org/keywords/tangent-vector","display_name":"Tangent vector","score":0.49264103174209595},{"id":"https://openalex.org/keywords/smoothing","display_name":"Smoothing","score":0.4754607081413269},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.47418126463890076},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.4541544020175934},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4502637982368469},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.4407365322113037},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4286654591560364},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.39770379662513733},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3543800711631775},{"id":"https://openalex.org/keywords/tangent","display_name":"Tangent","score":0.31460922956466675},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.31006306409835815},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.28503328561782837},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.14045602083206177},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.11573672294616699},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.09915253520011902}],"concepts":[{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.7308533787727356},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6405267119407654},{"id":"https://openalex.org/C157157409","wikidata":"https://www.wikidata.org/wiki/Q909601","display_name":"Tangent space","level":2,"score":0.5528836846351624},{"id":"https://openalex.org/C192368570","wikidata":"https://www.wikidata.org/wiki/Q1789829","display_name":"Digital geometry","level":5,"score":0.5217514634132385},{"id":"https://openalex.org/C47890412","wikidata":"https://www.wikidata.org/wiki/Q1179296","display_name":"Tangent vector","level":3,"score":0.49264103174209595},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.4754607081413269},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.47418126463890076},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.4541544020175934},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4502637982368469},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.4407365322113037},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4286654591560364},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.39770379662513733},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3543800711631775},{"id":"https://openalex.org/C138187205","wikidata":"https://www.wikidata.org/wiki/Q131251","display_name":"Tangent","level":2,"score":0.31460922956466675},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.31006306409835815},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28503328561782837},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.14045602083206177},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.11573672294616699},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.09915253520011902},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C42781572","wikidata":"https://www.wikidata.org/wiki/Q1250322","display_name":"Digital image","level":4,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3272127.3275088","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3272127.3275088","pdf_url":null,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Graphics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1145/3272127.3275088","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3272127.3275088","pdf_url":null,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Graphics","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.5699999928474426}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":54,"referenced_works":["https://openalex.org/W146234164","https://openalex.org/W562250486","https://openalex.org/W603006721","https://openalex.org/W1542792704","https://openalex.org/W1565212980","https://openalex.org/W1572844260","https://openalex.org/W1593238691","https://openalex.org/W1601864594","https://openalex.org/W1967410452","https://openalex.org/W1974956622","https://openalex.org/W1979299495","https://openalex.org/W1988289833","https://openalex.org/W1989961031","https://openalex.org/W2000214666","https://openalex.org/W2011049085","https://openalex.org/W2021763376","https://openalex.org/W2024243735","https://openalex.org/W2050503782","https://openalex.org/W2051669046","https://openalex.org/W2052088750","https://openalex.org/W2053999255","https://openalex.org/W2055410695","https://openalex.org/W2059469850","https://openalex.org/W2090903445","https://openalex.org/W2092053444","https://openalex.org/W2132044017","https://openalex.org/W2135170744","https://openalex.org/W2139133782","https://openalex.org/W2151636374","https://openalex.org/W2166522594","https://openalex.org/W2188605259","https://openalex.org/W2295199241","https://openalex.org/W2295829623","https://openalex.org/W2298775225","https://openalex.org/W2312833083","https://openalex.org/W2314709240","https://openalex.org/W2483471759","https://openalex.org/W2500214046","https://openalex.org/W2518453017","https://openalex.org/W2619785786","https://openalex.org/W2752576738","https://openalex.org/W2782740643","https://openalex.org/W2803208241","https://openalex.org/W2810303719","https://openalex.org/W2942281550","https://openalex.org/W2963590369","https://openalex.org/W3122823243","https://openalex.org/W3138464846","https://openalex.org/W3145356268","https://openalex.org/W4234561344","https://openalex.org/W4250800977","https://openalex.org/W4251770880","https://openalex.org/W4252104150","https://openalex.org/W4300119338"],"related_works":["https://openalex.org/W2361271799","https://openalex.org/W2391887161","https://openalex.org/W3165227558","https://openalex.org/W2096561270","https://openalex.org/W2381565014","https://openalex.org/W2098859420","https://openalex.org/W2390580168","https://openalex.org/W2353074735","https://openalex.org/W2358302317","https://openalex.org/W2384343431"],"abstract_inverted_index":{"Discrete":[0],"orthogonal":[1,144],"geodesic":[2,145],"nets":[3],"(DOGs)":[4],"are":[5,65],"a":[6,38,50,53,58,74,87,92,104,114,129],"quad":[7],"mesh":[8],"analogue":[9],"of":[10,31,35,52,60,77,141,156],"developable":[11,174],"surfaces.":[12],"In":[13],"this":[14,46],"work":[15],"we":[16,108],"study":[17],"continuous":[18],"deformations":[19],"on":[20,79,128],"these":[21],"discrete":[22],"objects.":[23],"Our":[24],"main":[25],"theoretical":[26],"contribution":[27],"is":[28,48,135],"the":[29,32,80,153,166],"characterization":[30],"shape":[33,125,154],"space":[34,47,126,155],"DOGs":[36,64,157],"for":[37,173],"given":[39,93],"net":[40],"connectivity.":[41],"We":[42,95,122,147],"show":[43,96,149],"that":[44,63,176],"generally,":[45],"locally":[49],"manifold":[51],"fixed":[54],"dimension,":[55],"apart":[56],"from":[57],"set":[59],"singularities,":[61],"implying":[62],"continuously":[66],"deformable.":[67],"Smooth":[68],"flows":[69],"can":[70],"be":[71],"constructed":[72],"by":[73,102,158],"smooth":[75],"choice":[76],"vectors":[78,101],"manifold's":[81],"tangent":[82],"spaces,":[83],"selected":[84],"to":[85,98,112,118,137,151],"minimize":[86],"desired":[88],"objective":[89],"function":[90],"under":[91,139],"metric.":[94],"how":[97,150],"compute":[99],"such":[100],"solving":[103],"linear":[105],"system,":[106],"and":[107,161,164,188],"use":[109],"our":[110,124],"findings":[111],"devise":[113],"geometrically":[115],"meaningful":[116],"way":[117],"handle":[119],"singular":[120],"points.":[121],"base":[123],"metric":[127],"novel":[130],"DOG":[131],"Laplacian":[132],"operator,":[133],"which":[134],"proved":[136],"converge":[138],"sampling":[140],"an":[142,170],"analytical":[143],"net.":[146],"further":[148],"extend":[152],"supporting":[159],"creases":[160],"curved":[162],"folds":[163],"apply":[165],"developed":[167],"tools":[168],"in":[169],"editing":[171],"system":[172],"surfaces":[175],"supports":[177],"arbitrary":[178],"bending,":[179],"stretching,":[180],"cutting,":[181],"(curved)":[182],"folds,":[183],"as":[184,186],"well":[185],"smoothing":[187],"subdivision":[189],"operations.":[190]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}