{"id":"https://openalex.org/W1798872925","doi":"https://doi.org/10.1007/s00454-013-9486-0","title":"An Approximation Algorithm for Computing Shortest Paths in Weighted 3-d Domains","display_name":"An Approximation Algorithm for Computing Shortest Paths in Weighted 3-d Domains","publication_year":2013,"publication_date":"2013-05-31","ids":{"openalex":"https://openalex.org/W1798872925","doi":"https://doi.org/10.1007/s00454-013-9486-0","mag":"1798872925"},"language":"en","primary_location":{"id":"doi:10.1007/s00454-013-9486-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-013-9486-0","pdf_url":"https://link.springer.com/content/pdf/10.1007%2Fs00454-013-9486-0.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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete &amp; Computational Geometry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007%2Fs00454-013-9486-0.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040639996","display_name":"Lyudmil Aleksandrov","orcid":null},"institutions":[{"id":"https://openalex.org/I24768866","display_name":"Bulgarian Academy of Sciences","ror":"https://ror.org/01x8hew03","country_code":"BG","type":"funder","lineage":["https://openalex.org/I24768866"]}],"countries":["BG"],"is_corresponding":true,"raw_author_name":"Lyudmil Aleksandrov","raw_affiliation_strings":["Bulgarian Academy of Sciences, IPP, Acad. G. Bonchev Str. Bl. 25-A, 1113 , Sofia, Bulgaria","Bulgarian Academy of Sciences, IPP, Sofia, Bulgaria 1113"],"affiliations":[{"raw_affiliation_string":"Bulgarian Academy of Sciences, IPP, Acad. G. Bonchev Str. Bl. 25-A, 1113 , Sofia, Bulgaria","institution_ids":["https://openalex.org/I24768866"]},{"raw_affiliation_string":"Bulgarian Academy of Sciences, IPP, Sofia, Bulgaria 1113","institution_ids":["https://openalex.org/I24768866"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057625550","display_name":"Hristo Djidjev","orcid":"https://orcid.org/0000-0001-9286-8824"},"institutions":[{"id":"https://openalex.org/I1343871089","display_name":"Los Alamos National Laboratory","ror":"https://ror.org/01e41cf67","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I1343871089","https://openalex.org/I198811213","https://openalex.org/I4210120050"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hristo Djidjev","raw_affiliation_strings":["Los Alamos National Laboratory, Los Alamos, NM, 87545, USA","Los Alamos National Laboratory, Los Alamos, USA 87545#TAB#"],"affiliations":[{"raw_affiliation_string":"Los Alamos National Laboratory, Los Alamos, NM, 87545, USA","institution_ids":["https://openalex.org/I1343871089"]},{"raw_affiliation_string":"Los Alamos National Laboratory, Los Alamos, USA 87545#TAB#","institution_ids":["https://openalex.org/I1343871089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103136561","display_name":"Anil Maheshwari","orcid":"https://orcid.org/0000-0002-1274-4598"},"institutions":[{"id":"https://openalex.org/I67031392","display_name":"Carleton University","ror":"https://ror.org/02qtvee93","country_code":"CA","type":"education","lineage":["https://openalex.org/I67031392"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Anil Maheshwari","raw_affiliation_strings":["School of Computer Science, Carleton University, Ottawa, ON, K1S5B6, Canada","School of Computer Science, Carleton University, Ottawa, Canada K1S5B6#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, Carleton University, Ottawa, ON, K1S5B6, Canada","institution_ids":["https://openalex.org/I67031392"]},{"raw_affiliation_string":"School of Computer Science, Carleton University, Ottawa, Canada K1S5B6#TAB#","institution_ids":["https://openalex.org/I67031392"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085978384","display_name":"J\u00f6rg-R\u00fcdiger Sack","orcid":"https://orcid.org/0000-0001-5936-1319"},"institutions":[{"id":"https://openalex.org/I67031392","display_name":"Carleton University","ror":"https://ror.org/02qtvee93","country_code":"CA","type":"education","lineage":["https://openalex.org/I67031392"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"J\u00f6rg-R\u00fcdiger Sack","raw_affiliation_strings":["School of Computer Science, Carleton University, Ottawa, ON, K1S5B6, Canada","School of Computer Science, Carleton University, Ottawa, Canada K1S5B6#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, Carleton University, Ottawa, ON, K1S5B6, Canada","institution_ids":["https://openalex.org/I67031392"]},{"raw_affiliation_string":"School of Computer Science, Carleton University, Ottawa, Canada K1S5B6#TAB#","institution_ids":["https://openalex.org/I67031392"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5040639996"],"corresponding_institution_ids":["https://openalex.org/I24768866"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":3.5027,"has_fulltext":true,"cited_by_count":9,"citation_normalized_percentile":{"value":0.9153942,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"50","issue":"1","first_page":"124","last_page":"184"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":1.0,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":1.0,"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":0.9994000196456909,"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9950000047683716,"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/combinatorics","display_name":"Combinatorics","score":0.7557466626167297},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7284133434295654},{"id":"https://openalex.org/keywords/geodesic","display_name":"Geodesic","score":0.6521416902542114},{"id":"https://openalex.org/keywords/voronoi-diagram","display_name":"Voronoi diagram","score":0.5740184187889099},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5628507733345032},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5028879046440125},{"id":"https://openalex.org/keywords/tetrahedron","display_name":"Tetrahedron","score":0.44955477118492126},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3393673896789551},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.19468295574188232},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.17712023854255676},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09823939204216003}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7557466626167297},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7284133434295654},{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.6521416902542114},{"id":"https://openalex.org/C24881265","wikidata":"https://www.wikidata.org/wiki/Q757267","display_name":"Voronoi diagram","level":2,"score":0.5740184187889099},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5628507733345032},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5028879046440125},{"id":"https://openalex.org/C105239961","wikidata":"https://www.wikidata.org/wiki/Q160003","display_name":"Tetrahedron","level":2,"score":0.44955477118492126},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3393673896789551},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.19468295574188232},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.17712023854255676},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09823939204216003}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00454-013-9486-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-013-9486-0","pdf_url":"https://link.springer.com/content/pdf/10.1007%2Fs00454-013-9486-0.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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete &amp; Computational Geometry","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s00454-013-9486-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-013-9486-0","pdf_url":"https://link.springer.com/content/pdf/10.1007%2Fs00454-013-9486-0.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":null,"license_id":null,"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/G1304196372","display_name":null,"funder_award_id":"Program","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"},{"id":"https://openalex.org/G2148279209","display_name":null,"funder_award_id":"LANL/LDRD","funder_id":"https://openalex.org/F4320337547","funder_display_name":"Laboratory Directed Research and Development"},{"id":"https://openalex.org/G4237675041","display_name":null,"funder_award_id":"LANL/LDRD","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"}],"funders":[{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"},{"id":"https://openalex.org/F4320337547","display_name":"Laboratory Directed Research and Development","ror":"https://ror.org/01e41cf67"},{"id":"https://openalex.org/F4320338304","display_name":"Los Alamos National Laboratory","ror":"https://ror.org/01e41cf67"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1798872925.pdf","grobid_xml":"https://content.openalex.org/works/W1798872925.grobid-xml"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W205658155","https://openalex.org/W1481075119","https://openalex.org/W1483143399","https://openalex.org/W1498827059","https://openalex.org/W1512693493","https://openalex.org/W1514550606","https://openalex.org/W1928577604","https://openalex.org/W1968022595","https://openalex.org/W1980197133","https://openalex.org/W1989723858","https://openalex.org/W1996868358","https://openalex.org/W2009017109","https://openalex.org/W2015545367","https://openalex.org/W2024693023","https://openalex.org/W2025130628","https://openalex.org/W2025736494","https://openalex.org/W2028769163","https://openalex.org/W2035022069","https://openalex.org/W2036114412","https://openalex.org/W2049480565","https://openalex.org/W2059973026","https://openalex.org/W2062105084","https://openalex.org/W2071857538","https://openalex.org/W2074682596","https://openalex.org/W2112346596","https://openalex.org/W2115974833","https://openalex.org/W2132457975","https://openalex.org/W2144015309","https://openalex.org/W2160524292","https://openalex.org/W2163971855","https://openalex.org/W2165939338","https://openalex.org/W2170220350","https://openalex.org/W2171665075","https://openalex.org/W3014033153","https://openalex.org/W4210881201","https://openalex.org/W4233514863"],"related_works":["https://openalex.org/W3020555194","https://openalex.org/W2793256277","https://openalex.org/W2348235448","https://openalex.org/W4360958759","https://openalex.org/W2116218375","https://openalex.org/W2784576040","https://openalex.org/W4286974865","https://openalex.org/W4214593871","https://openalex.org/W3199408051","https://openalex.org/W2210064267"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-12T07:58:50.170612","created_date":"2025-10-10T00:00:00"}
