{"id":"https://openalex.org/W4416801678","doi":"https://doi.org/10.1007/s00454-025-00804-8","title":"Error Resilient Space Partitioning","display_name":"Error Resilient Space Partitioning","publication_year":2025,"publication_date":"2025-11-28","ids":{"openalex":"https://openalex.org/W4416801678","doi":"https://doi.org/10.1007/s00454-025-00804-8","pmid":"https://pubmed.ncbi.nlm.nih.gov/41943797"},"language":"en","primary_location":{"id":"doi:10.1007/s00454-025-00804-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-025-00804-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-025-00804-8.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 & Computational Geometry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00454-025-00804-8.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5065467078","display_name":"Orr Dunkelman","orcid":"https://orcid.org/0000-0001-5799-2635"},"institutions":[{"id":"https://openalex.org/I91203450","display_name":"University of Haifa","ror":"https://ror.org/02f009v59","country_code":"IL","type":"education","lineage":["https://openalex.org/I91203450"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Orr Dunkelman","raw_affiliation_strings":["Computer Science Department, University of Haifa, Haifa, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science Department, University of Haifa, Haifa, Israel","institution_ids":["https://openalex.org/I91203450"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038024544","display_name":"Zeev Geyzel","orcid":null},"institutions":[{"id":"https://openalex.org/I4210104622","display_name":"Intel (Israel)","ror":"https://ror.org/027t2s119","country_code":"IL","type":"company","lineage":["https://openalex.org/I1343180700","https://openalex.org/I4210104622"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Zeev Geyzel","raw_affiliation_strings":["Mobileye, an Intel company, Jerusalem, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mobileye, an Intel company, Jerusalem, Israel","institution_ids":["https://openalex.org/I4210104622"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038150960","display_name":"Chaya Keller","orcid":"https://orcid.org/0000-0001-6400-3946"},"institutions":[{"id":"https://openalex.org/I52170813","display_name":"Ariel University","ror":"https://ror.org/03nz8qe97","country_code":"IL","type":"education","lineage":["https://openalex.org/I52170813"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Chaya Keller","raw_affiliation_strings":["Department of Computer Science, Ariel University, Ariel, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Ariel University, Ariel, Israel","institution_ids":["https://openalex.org/I52170813"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5114500405","display_name":"Nathan Keller","orcid":"https://orcid.org/0000-0002-1591-9840"},"institutions":[{"id":"https://openalex.org/I13955877","display_name":"Bar-Ilan University","ror":"https://ror.org/03kgsv495","country_code":"IL","type":"education","lineage":["https://openalex.org/I13955877"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Nathan Keller","raw_affiliation_strings":["Department of Mathematics, Bar Ilan University, Ramat Gan, Israel"],"raw_orcid":"https://orcid.org/0000-0002-1591-9840","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Bar Ilan University, Ramat Gan, Israel","institution_ids":["https://openalex.org/I13955877"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000713291","display_name":"Eyal Ronen","orcid":"https://orcid.org/0000-0002-6013-7426"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]},{"id":"https://openalex.org/I4210141777","display_name":"Academic College of Tel Aviv-Yafo","ror":"https://ror.org/04cg6c004","country_code":"IL","type":"education","lineage":["https://openalex.org/I4210141777"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Eyal Ronen","raw_affiliation_strings":["School of Computer Science, Tel Aviv University, Aviv-Yafo, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science, Tel Aviv University, Aviv-Yafo, Israel","institution_ids":["https://openalex.org/I4210141777","https://openalex.org/I16391192"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009126679","display_name":"Adi Shamir","orcid":"https://orcid.org/0000-0002-5422-905X"},"institutions":[{"id":"https://openalex.org/I53964585","display_name":"Weizmann Institute of Science","ror":"https://ror.org/0316ej306","country_code":"IL","type":"education","lineage":["https://openalex.org/I53964585"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Adi Shamir","raw_affiliation_strings":["Faculty of Mathematics and Computer Science, Weizmann Institute of Science, Rehovot, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Computer Science, Weizmann Institute of Science, Rehovot, Israel","institution_ids":["https://openalex.org/I53964585"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068997721","display_name":"Ran J. Tessler","orcid":"https://orcid.org/0000-0002-4763-6378"},"institutions":[{"id":"https://openalex.org/I53964585","display_name":"Weizmann Institute of Science","ror":"https://ror.org/0316ej306","country_code":"IL","type":"education","lineage":["https://openalex.org/I53964585"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Ran J. Tessler","raw_affiliation_strings":["Incumbent of the Lilian and George Lyttle Career Development Chair, Department of Mathematics, Weizmann Institute of Science, Rehovot, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Incumbent of the Lilian and George Lyttle Career Development Chair, Department of Mathematics, Weizmann Institute of Science, Rehovot, Israel","institution_ids":["https://openalex.org/I53964585"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5065467078"],"corresponding_institution_ids":["https://openalex.org/I91203450"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.5618187,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"75","issue":"3","first_page":"839","last_page":"870"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.31349998712539673,"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":0.31349998712539673,"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/T12404","display_name":"Mathematical Approximation and Integration","score":0.26080000400543213,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.21060000360012054,"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/partition","display_name":"Partition (number theory)","score":0.6697999835014343},{"id":"https://openalex.org/keywords/space-partitioning","display_name":"Space partitioning","score":0.6521000266075134},{"id":"https://openalex.org/keywords/colored","display_name":"Colored","score":0.5521000027656555},{"id":"https://openalex.org/keywords/rounding","display_name":"Rounding","score":0.498199999332428},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.487199991941452},{"id":"https://openalex.org/keywords/euclidean-distance","display_name":"Euclidean distance","score":0.48010000586509705},{"id":"https://openalex.org/keywords/euclidean-space","display_name":"Euclidean space","score":0.47450000047683716},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.38109999895095825},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.3758000135421753}],"concepts":[{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.6697999835014343},{"id":"https://openalex.org/C13670688","wikidata":"https://www.wikidata.org/wiki/Q3500548","display_name":"Space partitioning","level":2,"score":0.6521000266075134},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.607699990272522},{"id":"https://openalex.org/C2778307483","wikidata":"https://www.wikidata.org/wiki/Q5149038","display_name":"Colored","level":2,"score":0.5521000027656555},{"id":"https://openalex.org/C136625980","wikidata":"https://www.wikidata.org/wiki/Q663208","display_name":"Rounding","level":2,"score":0.498199999332428},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.487199991941452},{"id":"https://openalex.org/C120174047","wikidata":"https://www.wikidata.org/wiki/Q847073","display_name":"Euclidean distance","level":2,"score":0.48010000586509705},{"id":"https://openalex.org/C186450821","wikidata":"https://www.wikidata.org/wiki/Q17295","display_name":"Euclidean space","level":2,"score":0.47450000047683716},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39010000228881836},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.38109999895095825},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.3758000135421753},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.37400001287460327},{"id":"https://openalex.org/C114996537","wikidata":"https://www.wikidata.org/wiki/Q4854529","display_name":"Colors of noise","level":3,"score":0.35120001435279846},{"id":"https://openalex.org/C153782549","wikidata":"https://www.wikidata.org/wiki/Q175116","display_name":"Discrete space","level":2,"score":0.3499000072479248},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3276999890804291},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.32350000739097595},{"id":"https://openalex.org/C2961294","wikidata":"https://www.wikidata.org/wiki/Q166863","display_name":"Color space","level":3,"score":0.3199000060558319},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.31459999084472656},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.31049999594688416},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3093000054359436},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.27959999442100525},{"id":"https://openalex.org/C192368570","wikidata":"https://www.wikidata.org/wiki/Q1789829","display_name":"Digital geometry","level":5,"score":0.2777999937534332},{"id":"https://openalex.org/C182964748","wikidata":"https://www.wikidata.org/wiki/Q208216","display_name":"Triangle inequality","level":2,"score":0.27469998598098755},{"id":"https://openalex.org/C29123130","wikidata":"https://www.wikidata.org/wiki/Q874709","display_name":"Computational geometry","level":2,"score":0.27410000562667847},{"id":"https://openalex.org/C2639959","wikidata":"https://www.wikidata.org/wiki/Q1344778","display_name":"Distance measures","level":2,"score":0.26260000467300415},{"id":"https://openalex.org/C79337645","wikidata":"https://www.wikidata.org/wiki/Q779824","display_name":"Outlier","level":2,"score":0.25619998574256897},{"id":"https://openalex.org/C20468658","wikidata":"https://www.wikidata.org/wiki/Q17130624","display_name":"Weighted Voronoi diagram","level":3,"score":0.25270000100135803}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s00454-025-00804-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-025-00804-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-025-00804-8.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 & Computational Geometry","raw_type":"journal-article"},{"id":"pmid:41943797","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/41943797","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:pubmedcentral.nih.gov:13050337","is_oa":true,"landing_page_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC13050337/","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"}],"best_oa_location":{"id":"doi:10.1007/s00454-025-00804-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-025-00804-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-025-00804-8.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 & Computational Geometry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1292692700","display_name":null,"funder_award_id":"335/19","funder_id":"https://openalex.org/F4320338453","funder_display_name":"HORIZON EUROPE European Research Council"},{"id":"https://openalex.org/G3279544520","display_name":null,"funder_award_id":"1065/20","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"},{"id":"https://openalex.org/G8437337171","display_name":null,"funder_award_id":"757731","funder_id":"https://openalex.org/F4320338453","funder_display_name":"HORIZON EUROPE European Research Council"}],"funders":[{"id":"https://openalex.org/F4320320946","display_name":"Weizmann Institute of Science","ror":"https://ror.org/0316ej306"},{"id":"https://openalex.org/F4320321449","display_name":"Bar-Ilan University","ror":"https://ror.org/03kgsv495"},{"id":"https://openalex.org/F4320322252","display_name":"Israel Science Foundation","ror":"https://ror.org/04sazxf24"},{"id":"https://openalex.org/F4320335863","display_name":"Center for Research in Applied Cryptography and Cyber Security, Bar-Ilan University","ror":null},{"id":"https://openalex.org/F4320336941","display_name":"Center for New Scientists, Weizmann Institute of Science","ror":null},{"id":"https://openalex.org/F4320337179","display_name":"Check Point Institute for Information Security, Tel Aviv University","ror":null},{"id":"https://openalex.org/F4320338453","display_name":"HORIZON EUROPE European Research Council","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4416801678.pdf","grobid_xml":"https://content.openalex.org/works/W4416801678.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W988473691","https://openalex.org/W1823613706","https://openalex.org/W1825294361","https://openalex.org/W1980956835","https://openalex.org/W1983033166","https://openalex.org/W2021445310","https://openalex.org/W2130186928","https://openalex.org/W2138683031","https://openalex.org/W2159130720","https://openalex.org/W2293001982","https://openalex.org/W2301261742","https://openalex.org/W2501841716","https://openalex.org/W3000681379","https://openalex.org/W3088483483","https://openalex.org/W3100495456","https://openalex.org/W4244017338","https://openalex.org/W4251391716","https://openalex.org/W4313227238"],"related_works":[],"abstract_inverted_index":{".":[0],"We":[1],"obtain":[2],"our":[3],"results":[4],"with":[5],"a":[6],"variety":[7],"of":[8],"techniques":[9],"including":[10],"isoperimetric":[11],"inequalities,":[12],"the":[13],"Brunn-Minkowski":[14],"theorem,":[15],"sphere":[16],"packing":[17],"bounds,":[18],"Bapat's":[19],"connector-free":[20],"lemma,":[21],"and":[22],"\u010cech":[23],"cohomology.":[24]},"counts_by_year":[],"updated_date":"2026-04-28T14:05:53.105641","created_date":"2025-11-28T00:00:00"}