{"id":"https://openalex.org/W146099575","doi":"https://doi.org/10.1007/1-4020-3443-1_4","title":"Efficient Path Openings and Closings","display_name":"Efficient Path Openings and Closings","publication_year":2005,"publication_date":"2005-07-28","ids":{"openalex":"https://openalex.org/W146099575","doi":"https://doi.org/10.1007/1-4020-3443-1_4","mag":"146099575"},"language":"en","primary_location":{"id":"doi:10.1007/1-4020-3443-1_4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/1-4020-3443-1_4","pdf_url":null,"source":{"id":"https://openalex.org/S4210204999","display_name":"Computational imaging and vision","issn_l":"1381-6446","issn":["1381-6446","2542-8969"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320108","host_organization_name":"Springer Nature (Netherlands)","host_organization_lineage":["https://openalex.org/P4310320108","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature (Netherlands)","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Imaging and Vision","raw_type":"book-chapter"},"type":"book-chapter","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/A5112992086","display_name":"Ben Appleton","orcid":null},"institutions":[{"id":"https://openalex.org/I160993911","display_name":"Queensland University of Technology","ror":"https://ror.org/03pnv4752","country_code":"AU","type":"education","lineage":["https://openalex.org/I160993911"]},{"id":"https://openalex.org/I165143802","display_name":"The University of Queensland","ror":"https://ror.org/00rqy9422","country_code":"AU","type":"education","lineage":["https://openalex.org/I165143802"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Ben Appleton","raw_affiliation_strings":["School of Information Technology and Electrical Engineering, The University of Queensland, Brisbane, Australia","The University Of Queensland;"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information Technology and Electrical Engineering, The University of Queensland, Brisbane, Australia","institution_ids":["https://openalex.org/I160993911","https://openalex.org/I165143802"]},{"raw_affiliation_string":"The University Of Queensland;","institution_ids":["https://openalex.org/I165143802"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002452272","display_name":"Hugues Talbot","orcid":"https://orcid.org/0000-0002-2179-3498"},"institutions":[{"id":"https://openalex.org/I1292875679","display_name":"Commonwealth Scientific and Industrial Research Organisation","ror":"https://ror.org/03qn8fb07","country_code":"AU","type":"government","lineage":["https://openalex.org/I1292875679","https://openalex.org/I2801453606","https://openalex.org/I4387156119"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Hugues Talbot","raw_affiliation_strings":["CSIRO Mathematical and Information Sciences, Locked Bag 17, North Ryde, NSW, 2113, Australia","[CSIRO-Mathematical and Information Sciences]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CSIRO Mathematical and Information Sciences, Locked Bag 17, North Ryde, NSW, 2113, Australia","institution_ids":["https://openalex.org/I1292875679"]},{"raw_affiliation_string":"[CSIRO-Mathematical and Information Sciences]","institution_ids":["https://openalex.org/I1292875679"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.6571,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.66648568,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"33","last_page":"42"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9941999912261963,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9941999912261963,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9923999905586243,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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":0.9894000291824341,"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/structuring","display_name":"Structuring","score":0.837302565574646},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.6268938183784485},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.5326827168464661},{"id":"https://openalex.org/keywords/structuring-element","display_name":"Structuring element","score":0.5246505737304688},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.49128931760787964},{"id":"https://openalex.org/keywords/flexibility","display_name":"Flexibility (engineering)","score":0.482075035572052},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.48119932413101196},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.475721150636673},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45067811012268066},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.43931108713150024},{"id":"https://openalex.org/keywords/implementation","display_name":"Implementation","score":0.43780189752578735},{"id":"https://openalex.org/keywords/infimum-and-supremum","display_name":"Infimum and supremum","score":0.41889190673828125},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4157559275627136},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.400713175535202},{"id":"https://openalex.org/keywords/mathematical-morphology","display_name":"Mathematical morphology","score":0.29860639572143555},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2573562264442444},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.11156672239303589},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10687637329101562}],"concepts":[{"id":"https://openalex.org/C2775945657","wikidata":"https://www.wikidata.org/wiki/Q381442","display_name":"Structuring","level":2,"score":0.837302565574646},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.6268938183784485},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.5326827168464661},{"id":"https://openalex.org/C74032544","wikidata":"https://www.wikidata.org/wiki/Q7625238","display_name":"Structuring element","level":5,"score":0.5246505737304688},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.49128931760787964},{"id":"https://openalex.org/C2780598303","wikidata":"https://www.wikidata.org/wiki/Q65921492","display_name":"Flexibility (engineering)","level":2,"score":0.482075035572052},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.48119932413101196},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.475721150636673},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45067811012268066},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.43931108713150024},{"id":"https://openalex.org/C26713055","wikidata":"https://www.wikidata.org/wiki/Q245962","display_name":"Implementation","level":2,"score":0.43780189752578735},{"id":"https://openalex.org/C95611797","wikidata":"https://www.wikidata.org/wiki/Q17502105","display_name":"Infimum and supremum","level":2,"score":0.41889190673828125},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4157559275627136},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.400713175535202},{"id":"https://openalex.org/C185568154","wikidata":"https://www.wikidata.org/wiki/Q530242","display_name":"Mathematical morphology","level":4,"score":0.29860639572143555},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2573562264442444},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.11156672239303589},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10687637329101562},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/1-4020-3443-1_4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/1-4020-3443-1_4","pdf_url":null,"source":{"id":"https://openalex.org/S4210204999","display_name":"Computational imaging and vision","issn_l":"1381-6446","issn":["1381-6446","2542-8969"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320108","host_organization_name":"Springer Nature (Netherlands)","host_organization_lineage":["https://openalex.org/P4310320108","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature (Netherlands)","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Imaging and Vision","raw_type":"book-chapter"},{"id":"pmh:oai:HAL:hal-00621982v1","is_oa":false,"landing_page_url":"https://hal.science/hal-00621982","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Symposium on Mathematical Morphology, 2005, Dordrecht, France. pp.33-42","raw_type":"Conference papers"},{"id":"pmh:oai:espace.library.uq.edu.au:UQ:9732","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306402388","display_name":"Queensland's institutional digital repository (The University of Queensland)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I165143802","host_organization_name":"The University of Queensland","host_organization_lineage":["https://openalex.org/I165143802"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference Paper"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W78733676","https://openalex.org/W169130782","https://openalex.org/W1544479921","https://openalex.org/W1553715722","https://openalex.org/W1561442812","https://openalex.org/W1567853386","https://openalex.org/W1590218343","https://openalex.org/W1599298248","https://openalex.org/W1975610128","https://openalex.org/W1988238455","https://openalex.org/W1991607872","https://openalex.org/W2063055263","https://openalex.org/W2092931596","https://openalex.org/W2113179848","https://openalex.org/W2121988099","https://openalex.org/W2134188917","https://openalex.org/W2143750255","https://openalex.org/W2164741953","https://openalex.org/W2170949105","https://openalex.org/W2185275855","https://openalex.org/W2752853835","https://openalex.org/W3002100465","https://openalex.org/W3198160809","https://openalex.org/W6635402834","https://openalex.org/W6665942658"],"related_works":["https://openalex.org/W2038838730","https://openalex.org/W2184069573","https://openalex.org/W2135791515","https://openalex.org/W1978612905","https://openalex.org/W1990145776","https://openalex.org/W2086078916","https://openalex.org/W2358997449","https://openalex.org/W2739556368","https://openalex.org/W4237832701","https://openalex.org/W1766284276"],"abstract_inverted_index":null,"counts_by_year":[{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}