{"id":"https://openalex.org/W2122430077","doi":"https://doi.org/10.1145/1185657.1185668","title":"An algorithm for the construction of intrinsic delaunay triangulations with applications to digital geometry processing","display_name":"An algorithm for the construction of intrinsic delaunay triangulations with applications to digital geometry processing","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W2122430077","doi":"https://doi.org/10.1145/1185657.1185668","mag":"2122430077"},"language":"en","primary_location":{"id":"doi:10.1145/1185657.1185668","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1185657.1185668","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM SIGGRAPH 2006 Courses on   - SIGGRAPH '06","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"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/A5081400079","display_name":"Matthew Fisher","orcid":"https://orcid.org/0000-0002-8908-3417"},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Matthew Fisher","raw_affiliation_strings":["Caltech,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Caltech,","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069111856","display_name":"Boris Springborn","orcid":"https://orcid.org/0000-0002-3716-8320"},"institutions":[{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Boris Springborn","raw_affiliation_strings":["[TU- Berlin]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"[TU- Berlin]","institution_ids":["https://openalex.org/I4577782"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109493283","display_name":"Alexander I. Bobenko","orcid":"https://orcid.org/0009-0008-0954-043X"},"institutions":[{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Alexander I. Bobenko","raw_affiliation_strings":["[TU- Berlin]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"[TU- Berlin]","institution_ids":["https://openalex.org/I4577782"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051948556","display_name":"Peter Schr\u00f6der","orcid":"https://orcid.org/0000-0001-9084-7106"},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Peter Schroder","raw_affiliation_strings":["Caltech,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Caltech,","institution_ids":["https://openalex.org/I122411786"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.3745,"has_fulltext":false,"cited_by_count":41,"citation_normalized_percentile":{"value":0.93998628,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"69","last_page":"69"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9998000264167786,"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/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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9991000294685364,"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/delaunay-triangulation","display_name":"Delaunay triangulation","score":0.893978476524353},{"id":"https://openalex.org/keywords/computational-geometry","display_name":"Computational geometry","score":0.5696518421173096},{"id":"https://openalex.org/keywords/bowyer\u2013watson-algorithm","display_name":"Bowyer\u2013Watson algorithm","score":0.5655731558799744},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5556007623672485},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.5274227857589722},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.49449917674064636},{"id":"https://openalex.org/keywords/digital-geometry","display_name":"Digital geometry","score":0.4346640110015869},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.38884806632995605},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.25462406873703003},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.1872095763683319},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.15748754143714905},{"id":"https://openalex.org/keywords/digital-image","display_name":"Digital image","score":0.12453263998031616}],"concepts":[{"id":"https://openalex.org/C68010082","wikidata":"https://www.wikidata.org/wiki/Q192445","display_name":"Delaunay triangulation","level":2,"score":0.893978476524353},{"id":"https://openalex.org/C29123130","wikidata":"https://www.wikidata.org/wiki/Q874709","display_name":"Computational geometry","level":2,"score":0.5696518421173096},{"id":"https://openalex.org/C121198538","wikidata":"https://www.wikidata.org/wiki/Q4951461","display_name":"Bowyer\u2013Watson algorithm","level":3,"score":0.5655731558799744},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5556007623672485},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.5274227857589722},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.49449917674064636},{"id":"https://openalex.org/C192368570","wikidata":"https://www.wikidata.org/wiki/Q1789829","display_name":"Digital geometry","level":5,"score":0.4346640110015869},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.38884806632995605},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.25462406873703003},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.1872095763683319},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.15748754143714905},{"id":"https://openalex.org/C42781572","wikidata":"https://www.wikidata.org/wiki/Q1250322","display_name":"Digital image","level":4,"score":0.12453263998031616},{"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:10.1145/1185657.1185668","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1185657.1185668","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM SIGGRAPH 2006 Courses on   - SIGGRAPH '06","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320309398","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1974956622","https://openalex.org/W1976584051","https://openalex.org/W1986853035","https://openalex.org/W2000214666","https://openalex.org/W2085550119","https://openalex.org/W2104229632","https://openalex.org/W2113275166","https://openalex.org/W2121934905","https://openalex.org/W2143118902","https://openalex.org/W2143897237","https://openalex.org/W2148892491","https://openalex.org/W2150874139","https://openalex.org/W2163787581","https://openalex.org/W2250107905","https://openalex.org/W2293994889","https://openalex.org/W3000211808","https://openalex.org/W3099917509"],"related_works":["https://openalex.org/W2368931253","https://openalex.org/W2378792796","https://openalex.org/W2394349965","https://openalex.org/W2234920829","https://openalex.org/W2378686409","https://openalex.org/W2018303226","https://openalex.org/W3202190685","https://openalex.org/W17636892","https://openalex.org/W2101889110","https://openalex.org/W2122430077"],"abstract_inverted_index":{"The":[0,23,77],"discrete":[1],"Laplace-Beltrami":[2,50,79,129],"operator":[3,80],"plays":[4],"a":[5,39,55,116],"prominent":[6],"role":[7],"in":[8,32,67],"many":[9],"Digital":[10],"Geometry":[11],"Processing":[12],"applications":[13],"ranging":[14],"from":[15],"denoising":[16],"to":[17,38,72,96],"parameterization,":[18],"editing,":[19],"and":[20,112],"physical":[21],"simulation.":[22],"standard":[24],"discretization":[25],"uses":[26],"the":[27,30,33,48,89,107,110,123,127],"cotangents":[28],"of":[29,41,47,88,118,126],"angles":[31],"immersed":[34],"mesh":[35],"which":[36,105],"leads":[37,71],"variety":[40,117],"numerical":[42,124],"problems.":[43],"We":[44,91],"advocate":[45],"use":[46],"intrinsic":[49,78,85,113,128],"operator.":[51,130],"It":[52,69],"satis-":[53],"fies":[54],"local":[56],"maximum":[57],"principle,":[58],"guaranteeing,":[59],"e.g.,":[60],"that":[61],"no":[62],"flipped":[63],"triangles":[64],"can":[65],"occur":[66],"parameterizations.":[68],"also":[70],"better":[73],"conditioned":[74],"linear":[75],"systems.":[76],"is":[81],"based":[82],"on":[83],"an":[84,93,102],"Delaunay":[86],"triangulation":[87],"surface.":[90],"give":[92],"incremental":[94],"algorithm":[95],"construct":[97],"such":[98],"triangulations":[99],"together":[100],"with":[101],"overlay":[103],"structure":[104],"captures":[106],"relationship":[108],"between":[109],"extrinsic":[111],"triangulations.":[114],"Using":[115],"example":[119],"meshes":[120],"we":[121],"demonstrate":[122],"benefits":[125]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":5},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
