{"id":"https://openalex.org/W6945065965","doi":"https://doi.org/10.2312/sgp/sgp04/151-158","title":"Smooth Subdivision of Tetrahedral Meshes","display_name":"Smooth Subdivision of Tetrahedral Meshes","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W6945065965","doi":"https://doi.org/10.2312/sgp/sgp04/151-158"},"language":"en","primary_location":{"id":"doi:10.2312/sgp/sgp04/151-158","is_oa":true,"landing_page_url":"https://doi.org/10.2312/sgp/sgp04/151-158","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"},"type":"other","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.2312/sgp/sgp04/151-158","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Schaefer, S.","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Schaefer, S.","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Hakenberg, J.","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hakenberg, J.","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":null,"display_name":"Warren, J.","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Warren, J.","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":true,"primary_topic":{"id":"https://openalex.org/T10015","display_name":"Genomics and Phylogenetic Studies","score":0.09960000216960907,"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"}},"topics":[{"id":"https://openalex.org/T10015","display_name":"Genomics and Phylogenetic Studies","score":0.09960000216960907,"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"}},{"id":"https://openalex.org/T12859","display_name":"Cell Image Analysis Techniques","score":0.08730000257492065,"subfield":{"id":"https://openalex.org/subfields/1304","display_name":"Biophysics"},"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"}},{"id":"https://openalex.org/T11710","display_name":"Biomedical Text Mining and Ontologies","score":0.06759999692440033,"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/tetrahedron","display_name":"Tetrahedron","score":0.9438999891281128},{"id":"https://openalex.org/keywords/subdivision","display_name":"Subdivision","score":0.8245999813079834},{"id":"https://openalex.org/keywords/base","display_name":"Base (topology)","score":0.6126000285148621},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.6018999814987183},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4731000065803528},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.35830000042915344},{"id":"https://openalex.org/keywords/box-spline","display_name":"Box spline","score":0.33410000801086426}],"concepts":[{"id":"https://openalex.org/C105239961","wikidata":"https://www.wikidata.org/wiki/Q160003","display_name":"Tetrahedron","level":2,"score":0.9438999891281128},{"id":"https://openalex.org/C143392562","wikidata":"https://www.wikidata.org/wiki/Q449111","display_name":"Subdivision","level":2,"score":0.8245999813079834},{"id":"https://openalex.org/C42058472","wikidata":"https://www.wikidata.org/wiki/Q810214","display_name":"Base (topology)","level":2,"score":0.6126000285148621},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.6018999814987183},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6014999747276306},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4731000065803528},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.37630000710487366},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.35830000042915344},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.353300005197525},{"id":"https://openalex.org/C78383375","wikidata":"https://www.wikidata.org/wiki/Q4951620","display_name":"Box spline","level":4,"score":0.33410000801086426},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32659998536109924},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.298799991607666},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.2921000123023987},{"id":"https://openalex.org/C199686383","wikidata":"https://www.wikidata.org/wiki/Q1529124","display_name":"Subdivision surface","level":3,"score":0.2831000089645386},{"id":"https://openalex.org/C22411076","wikidata":"https://www.wikidata.org/wiki/Q668113","display_name":"Hexahedron","level":3,"score":0.28200000524520874},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2736999988555908},{"id":"https://openalex.org/C135692309","wikidata":"https://www.wikidata.org/wiki/Q111124","display_name":"Square (algebra)","level":2,"score":0.2687000036239624},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.26440000534057617},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.26420000195503235}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.2312/sgp/sgp04/151-158","is_oa":true,"landing_page_url":"https://doi.org/10.2312/sgp/sgp04/151-158","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"}],"best_oa_location":{"id":"doi:10.2312/sgp/sgp04/151-158","is_oa":true,"landing_page_url":"https://doi.org/10.2312/sgp/sgp04/151-158","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"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"We":[0],"describe":[1],"a":[2,46],"new":[3],"subdivision":[4,27],"scheme":[5,47,64,69,100],"for":[6],"unstructured":[7],"tetrahedral":[8,11,34,63,79],"meshes.":[9],"Previous":[10],"schemes":[12],"based":[13],"on":[14],"generalizations":[15],"of":[16,42,77],"box":[17],"splines":[18],"have":[19],"encoded":[20],"arbitrary":[21],"directional":[22],"preferences":[23],"in":[24,33,90],"their":[25],"associated":[26],"rules":[28],"that":[29,48,67,98],"were":[30],"not":[31],"reflected":[32],"base":[35,80,92],"mesh.":[36,81],"Our":[37],"method":[38],"avoids":[39],"this":[40,62],"choice":[41],"preferred":[43],"directions":[44],"resulting":[45],"is":[49],"simple":[50],"to":[51],"implement":[52],"via":[53],"repeated":[54],"smoothing.":[55],"In":[56],"an":[57],"extended":[58],"appendix,":[59],"we":[60,94],"analyze":[61],"and":[65],"prove":[66],"the":[68,78,91,99],"generates":[70,101],"C2":[71],"deformations":[72],"everywhere":[73],"except":[74],"along":[75],"edges":[76,83],"Along":[82],"shared":[84],"by":[85],"four":[86],"or":[87],"more":[88],"tetrahedra":[89],"mesh,":[93],"present":[95],"strong":[96],"evidence":[97],"C1":[102],"deformations.":[103]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}