{"id":"https://openalex.org/W4391376826","doi":"https://doi.org/10.1007/s00454-026-00845-7","title":"Some Fast Algorithms for Curves in Surfaces","display_name":"Some Fast Algorithms for Curves in Surfaces","publication_year":2026,"publication_date":"2026-04-21","ids":{"openalex":"https://openalex.org/W4391376826","doi":"https://doi.org/10.1007/s00454-026-00845-7","pmid":"https://pubmed.ncbi.nlm.nih.gov/42359283"},"language":"en","primary_location":{"id":"doi:10.1007/s00454-026-00845-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-026-00845-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-026-00845-7.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete &amp; Computational Geometry","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite","pubmed"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00454-026-00845-7.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5035732479","display_name":"Marc Lackenby","orcid":"https://orcid.org/0000-0001-8264-8086"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Marc Lackenby","raw_affiliation_strings":["Mathematical Institute, University of Oxford, Woodstock Road, OX2 6GG Oxford, United Kingdom"],"raw_orcid":"https://orcid.org/0000-0001-8264-8086","affiliations":[{"raw_affiliation_string":"Mathematical Institute, University of Oxford, Woodstock Road, OX2 6GG Oxford, United Kingdom","institution_ids":["https://openalex.org/I40120149"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5035732479"],"corresponding_institution_ids":["https://openalex.org/I40120149"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":{"value":2890,"currency":"USD","value_usd":2890},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00234947,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"76","issue":"1","first_page":"539","last_page":"588"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9886999726295471,"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9829999804496765,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/algorithm","display_name":"Algorithm","score":0.5022287368774414},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48730742931365967}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5022287368774414},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48730742931365967}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s00454-026-00845-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-026-00845-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-026-00845-7.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete &amp; Computational Geometry","raw_type":"journal-article"},{"id":"pmid:42359283","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/42359283","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete & computational geometry","raw_type":null},{"id":"pmh:oai:arXiv.org:2401.16056","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2401.16056","pdf_url":"https://arxiv.org/pdf/2401.16056","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"pmh:oai:pubmedcentral.nih.gov:13291048","is_oa":true,"landing_page_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC13291048/","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Discrete Comput Geom","raw_type":"Text"},{"id":"doi:10.48550/arxiv.2401.16056","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2401.16056","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.1007/s00454-026-00845-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-026-00845-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-026-00845-7.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete &amp; Computational Geometry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8074303786","display_name":"Algorithmic topology in low dimensions","funder_award_id":"EP/Y004256/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4391376826.pdf","grobid_xml":"https://content.openalex.org/works/W4391376826.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W2382290278","https://openalex.org/W2350741829","https://openalex.org/W2530322880"],"abstract_inverted_index":{"Abstract":[0],"We":[1,193],"present":[2,195],"some":[3],"algorithms":[4,18],"that":[5,200],"provide":[6],"useful":[7],"topological":[8],"information":[9],"about":[10],"curves":[11],"in":[12,46,70,92,100],"surfaces.":[13],"One":[14],"of":[15,24,87,90,98,107,110,146,149],"the":[16,20,66,88,93,96,101,105,108,144,147],"main":[17],"computes":[19],"geometric":[21],"intersection":[22],"number":[23,89,97],"two":[25],"properly":[26],"embedded":[27],"1-manifolds":[28,67],"$$C_1$$":[29,111,174],"<mml:math":[30,39,112,121,175,184],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[31,40,113,122,176,185],"<mml:msub>":[32,41,114,123,177,186],"<mml:mi>C</mml:mi>":[33,42,115,124,178,187],"<mml:mn>1</mml:mn>":[34,116,179],"</mml:msub>":[35,44,117,126,180,189],"</mml:math>":[36,45,118,127,181,190],"and":[37,65,104,119,151,182],"$$C_2$$":[38,120,183],"<mml:mn>2</mml:mn>":[43,125,188],"a":[47,59,62,84,196,206],"compact":[48],"orientable":[49],"surface":[50,54],"S":[51,55,150],".":[52,128],"The":[53,77],"is":[56,80],"presented":[57],"via":[58,73],"triangulation":[60,94,148],"or":[61],"handle":[63,102],"structure,":[64],"are":[68,191],"given":[69],"normal":[71,75,210],"form":[72],"their":[74],"coordinates.":[76],"running":[78,139,169],"time":[79,140],"bounded":[81],"above":[82],"by":[83],"polynomial":[85],"function":[86],"triangles":[91],"(or":[95],"handles":[99],"structure),":[103],"logarithm":[106],"weight":[109],"This":[129],"algorithm":[130,199],"represents":[131],"an":[132],"improvement":[133],"over":[134],"previous":[135],"work,":[136],"since":[137],"its":[138,168],"depends":[141],"polynomially":[142],"on":[143,167],"size":[145],"it":[152],"can":[153,171,201],"deal":[154],"with":[155,164],"closed":[156],"surfaces,":[157],"unlike":[158],"many":[159],"earlier":[160],"algorithms.":[161],"Another":[162],"algorithm,":[163],"similar":[165],"bounds":[166],"time,":[170],"determine":[172],"whether":[173],"isotopic.":[192],"also":[194],"closely":[197],"related":[198],"be":[202],"used":[203],"to":[204],"place":[205],"standard":[207],"1-manifold":[208],"into":[209],"form.":[211]},"counts_by_year":[],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}