{"id":"https://openalex.org/W3204662766","doi":"https://doi.org/10.2312/vmv.20211370","title":"Real-Time Curvature-aware Re-Parametrization and Tessellation of B\u00e9zier Surfaces","display_name":"Real-Time Curvature-aware Re-Parametrization and Tessellation of B\u00e9zier Surfaces","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3204662766","doi":"https://doi.org/10.2312/vmv.20211370","mag":"3204662766"},"language":"en","primary_location":{"id":"pmh:oai:eref.uni-bayreuth.de:67327","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4377196442","display_name":"ERef Bayreuth (University of Bayreuth)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I54009628","host_organization_name":"University of Bayreuth","host_organization_lineage":["https://openalex.org/I54009628"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Aufsatz in einem Buch"},"type":"article","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.2312/vmv.20211370","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5088944898","display_name":"Christoph Buchenau","orcid":"https://orcid.org/0000-0002-5846-8859"},"institutions":[{"id":"https://openalex.org/I54009628","display_name":"University of Bayreuth","ror":"https://ror.org/0234wmv40","country_code":"DE","type":"education","lineage":["https://openalex.org/I54009628"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Buchenau, Christoph","raw_affiliation_strings":["University of Bayreuth, Bayreuth, Germany"],"affiliations":[{"raw_affiliation_string":"University of Bayreuth, Bayreuth, Germany","institution_ids":["https://openalex.org/I54009628"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037008068","display_name":"Michael Guthe","orcid":"https://orcid.org/0000-0002-9472-2535"},"institutions":[{"id":"https://openalex.org/I54009628","display_name":"University of Bayreuth","ror":"https://ror.org/0234wmv40","country_code":"DE","type":"education","lineage":["https://openalex.org/I54009628"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Guthe, Michael","raw_affiliation_strings":["University of Bayreuth, Bayreuth, Germany"],"affiliations":[{"raw_affiliation_string":"University of Bayreuth, Bayreuth, Germany","institution_ids":["https://openalex.org/I54009628"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5088944898"],"corresponding_institution_ids":["https://openalex.org/I54009628"],"apc_list":null,"apc_paid":null,"fwci":0.1751,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.46929539,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9991000294685364,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9991000294685364,"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.991599977016449,"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":0.9854999780654907,"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/b\u00e9zier-curve","display_name":"B\u00e9zier curve","score":0.7276289463043213},{"id":"https://openalex.org/keywords/parametrization","display_name":"Parametrization (atmospheric modeling)","score":0.7076626420021057},{"id":"https://openalex.org/keywords/b\u00e9zier-surface","display_name":"B\u00e9zier surface","score":0.6393616199493408},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.6286157965660095},{"id":"https://openalex.org/keywords/tessellation","display_name":"Tessellation (computer graphics)","score":0.5412992238998413},{"id":"https://openalex.org/keywords/mean-curvature","display_name":"Mean curvature","score":0.46257880330085754},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4537135362625122},{"id":"https://openalex.org/keywords/total-curvature","display_name":"Total curvature","score":0.42237409949302673},{"id":"https://openalex.org/keywords/mean-curvature-flow","display_name":"Mean curvature flow","score":0.34886109828948975},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.34296083450317383},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34289637207984924},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3068945109844208},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.26602256298065186},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.07679909467697144}],"concepts":[{"id":"https://openalex.org/C206423108","wikidata":"https://www.wikidata.org/wiki/Q214728","display_name":"B\u00e9zier curve","level":2,"score":0.7276289463043213},{"id":"https://openalex.org/C202887219","wikidata":"https://www.wikidata.org/wiki/Q3895221","display_name":"Parametrization (atmospheric modeling)","level":3,"score":0.7076626420021057},{"id":"https://openalex.org/C100374796","wikidata":"https://www.wikidata.org/wiki/Q926066","display_name":"B\u00e9zier surface","level":3,"score":0.6393616199493408},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.6286157965660095},{"id":"https://openalex.org/C43817857","wikidata":"https://www.wikidata.org/wiki/Q9357547","display_name":"Tessellation (computer graphics)","level":2,"score":0.5412992238998413},{"id":"https://openalex.org/C175017881","wikidata":"https://www.wikidata.org/wiki/Q1318998","display_name":"Mean curvature","level":3,"score":0.46257880330085754},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4537135362625122},{"id":"https://openalex.org/C16063025","wikidata":"https://www.wikidata.org/wiki/Q4370338","display_name":"Total curvature","level":5,"score":0.42237409949302673},{"id":"https://openalex.org/C127813850","wikidata":"https://www.wikidata.org/wiki/Q6803617","display_name":"Mean curvature flow","level":4,"score":0.34886109828948975},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.34296083450317383},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34289637207984924},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3068945109844208},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.26602256298065186},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.07679909467697144},{"id":"https://openalex.org/C74902906","wikidata":"https://www.wikidata.org/wiki/Q1190858","display_name":"Radiative transfer","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:eref.uni-bayreuth.de:67327","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4377196442","display_name":"ERef Bayreuth (University of Bayreuth)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I54009628","host_organization_name":"University of Bayreuth","host_organization_lineage":["https://openalex.org/I54009628"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Aufsatz in einem Buch"},{"id":"doi:10.2312/vmv.20211370","is_oa":true,"landing_page_url":"https://doi.org/10.2312/vmv.20211370","pdf_url":null,"source":{"id":"https://openalex.org/S7407052899","display_name":"Eurographics","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.2312/vmv.20211370","is_oa":true,"landing_page_url":"https://doi.org/10.2312/vmv.20211370","pdf_url":null,"source":{"id":"https://openalex.org/S7407052899","display_name":"Eurographics","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2970318865","https://openalex.org/W314491006","https://openalex.org/W1509931200","https://openalex.org/W3140093317","https://openalex.org/W2018134440","https://openalex.org/W1997522605","https://openalex.org/W2041298701","https://openalex.org/W2017059605","https://openalex.org/W1973476885","https://openalex.org/W2130045109","https://openalex.org/W2022000842","https://openalex.org/W2158845672","https://openalex.org/W1520084012","https://openalex.org/W1586342089","https://openalex.org/W1514441473","https://openalex.org/W2326303109","https://openalex.org/W2059205822","https://openalex.org/W2164688389","https://openalex.org/W3211119941","https://openalex.org/W2139409303"],"abstract_inverted_index":{"Interactive":[0],"tessellation":[1,39,91],"of":[2,29,62,102,107],"parametric":[3],"surfaces":[4,31],"has":[5],"many":[6],"applications":[7],"in":[8,59],"both":[9],"engineering":[10],"and":[11],"entertainment":[12],"computing.":[13],"The":[14,34],"most":[15],"common":[16],"primitives":[17,103],"are":[18],"bi-cubic":[19],"B\u00e9zier":[20],"patches":[21,87],"which":[22],"are,":[23],"among":[24],"others,":[25],"an":[26,60,105],"intermediate":[27],"representation":[28],"subdivision":[30],"for":[32,109],"rendering.":[33],"current":[35],"state-of-the-art":[36],"employs":[37],"hardware":[38],"where":[40],"a":[41,55],"uniform":[42],"subdivison":[43],"pattern":[44],"is":[45,82],"used":[46],"per":[47],"patch.":[48],"If":[49],"the":[50,67,70,76,86,90,94,100,110],"curvature":[51],"varies":[52],"strongly":[53],"over":[54,75],"patch,":[56,77],"this":[57],"results":[58],"over-tessellation":[61],"flat":[63],"areas.":[64],"Based":[65],"on":[66],"observation":[68],"that":[69,80,89],"second":[71],"derivative":[72],"changes":[73],"linearly":[74],"we":[78,98],"show":[79],"it":[81],"possible":[83],"to":[84,93],"reparameterize":[85],"such":[88],"adapts":[92],"curvature.":[95],"This":[96],"way,":[97],"reduce":[99],"number":[101],"by":[104],"average":[106],"15%":[108],"same":[111],"error":[112],"bound.":[113]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T06:51:31.235846","created_date":"2025-10-10T00:00:00"}