{"id":"https://openalex.org/W2641789179","doi":"https://doi.org/10.1109/tvcg.2018.2867513","title":"Hamiltonian Operator for Spectral Shape Analysis","display_name":"Hamiltonian Operator for Spectral Shape Analysis","publication_year":2018,"publication_date":"2018-08-29","ids":{"openalex":"https://openalex.org/W2641789179","doi":"https://doi.org/10.1109/tvcg.2018.2867513","mag":"2641789179","pmid":"https://pubmed.ncbi.nlm.nih.gov/30176599"},"language":"en","primary_location":{"id":"doi:10.1109/tvcg.2018.2867513","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvcg.2018.2867513","pdf_url":null,"source":{"id":"https://openalex.org/S84775595","display_name":"IEEE Transactions on Visualization and Computer Graphics","issn_l":"1077-2626","issn":["1077-2626","1941-0506","2160-9306"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Visualization and Computer Graphics","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1611.01990","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040900745","display_name":"Yoni Choukroun","orcid":"https://orcid.org/0000-0002-6438-4942"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Yoni Choukroun","raw_affiliation_strings":["Department of Computer Science, Technion-Israel Institute of Technology, Haifa, Israel","Department of Computer Science, Technion \u2014 Israel, Institute of Technology, Haifa, Israel"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Technion-Israel Institute of Technology, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]},{"raw_affiliation_string":"Department of Computer Science, Technion \u2014 Israel, Institute of Technology, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000783636","display_name":"Alon Shtern","orcid":null},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Alon Shtern","raw_affiliation_strings":["Department of Computer Science, Technion-Israel Institute of Technology, Haifa, Israel","Department of Computer Science, Technion \u2014 Israel, Institute of Technology, Haifa, Israel"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Technion-Israel Institute of Technology, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]},{"raw_affiliation_string":"Department of Computer Science, Technion \u2014 Israel, Institute of Technology, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025410418","display_name":"Alex Bronstein","orcid":"https://orcid.org/0000-0001-9699-8730"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Alex Bronstein","raw_affiliation_strings":["Department of Computer Science, Technion-Israel Institute of Technology, Haifa, Israel","Department of Computer Science, Technion \u2014 Israel, Institute of Technology, Haifa, Israel"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Technion-Israel Institute of Technology, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]},{"raw_affiliation_string":"Department of Computer Science, Technion \u2014 Israel, Institute of Technology, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091366774","display_name":"Ron Kimmel","orcid":"https://orcid.org/0000-0002-3180-7961"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Ron Kimmel","raw_affiliation_strings":["Department of Computer Science, Technion-Israel Institute of Technology, Haifa, Israel","Department of Computer Science, Technion \u2014 Israel, Institute of Technology, Haifa, Israel"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Technion-Israel Institute of Technology, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]},{"raw_affiliation_string":"Department of Computer Science, Technion \u2014 Israel, Institute of Technology, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5040900745"],"corresponding_institution_ids":["https://openalex.org/I174306211"],"apc_list":null,"apc_paid":null,"fwci":0.9681863,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.67602811,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"26","issue":"2","first_page":"1320","last_page":"1331"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9610000252723694,"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9610000252723694,"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/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9574999809265137,"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"}},{"id":"https://openalex.org/T10638","display_name":"Optical measurement and interference techniques","score":0.9434000253677368,"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/laplace-operator","display_name":"Laplace operator","score":0.7621417045593262},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.670379638671875},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.524034321308136},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5019345283508301},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.49990272521972656},{"id":"https://openalex.org/keywords/laplace\u2013beltrami-operator","display_name":"Laplace\u2013Beltrami operator","score":0.4650239944458008},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4263358414173126},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.41394349932670593},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2438279092311859},{"id":"https://openalex.org/keywords/p-laplacian","display_name":"p-Laplacian","score":0.178188294172287},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.16754457354545593},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.15420863032341003}],"concepts":[{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.7621417045593262},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.670379638671875},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.524034321308136},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5019345283508301},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.49990272521972656},{"id":"https://openalex.org/C49747540","wikidata":"https://www.wikidata.org/wiki/Q1071846","display_name":"Laplace\u2013Beltrami operator","level":4,"score":0.4650239944458008},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4263358414173126},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.41394349932670593},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2438279092311859},{"id":"https://openalex.org/C203269682","wikidata":"https://www.wikidata.org/wiki/Q7116898","display_name":"p-Laplacian","level":3,"score":0.178188294172287},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.16754457354545593},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.15420863032341003},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1109/tvcg.2018.2867513","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvcg.2018.2867513","pdf_url":null,"source":{"id":"https://openalex.org/S84775595","display_name":"IEEE Transactions on Visualization and Computer Graphics","issn_l":"1077-2626","issn":["1077-2626","1941-0506","2160-9306"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Visualization and Computer Graphics","raw_type":"journal-article"},{"id":"pmid:30176599","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/30176599","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":"IEEE transactions on visualization and computer graphics","raw_type":null},{"id":"pmh:oai:arXiv.org:1611.01990","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1611.01990","pdf_url":"https://arxiv.org/pdf/1611.01990","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":"mag:2641789179","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1611.01990.pdf","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1611.01990","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1611.01990","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1611.01990","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1611.01990","pdf_url":"https://arxiv.org/pdf/1611.01990","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"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2641789179.pdf","grobid_xml":"https://content.openalex.org/works/W2641789179.grobid-xml"},"referenced_works_count":39,"referenced_works":["https://openalex.org/W1626653188","https://openalex.org/W1669893227","https://openalex.org/W1881821759","https://openalex.org/W1972649461","https://openalex.org/W1974956622","https://openalex.org/W1980268058","https://openalex.org/W1984159596","https://openalex.org/W1984477344","https://openalex.org/W1985222241","https://openalex.org/W1994393928","https://openalex.org/W1995055488","https://openalex.org/W2005276292","https://openalex.org/W2013442102","https://openalex.org/W2023661891","https://openalex.org/W2036163530","https://openalex.org/W2036947203","https://openalex.org/W2047161559","https://openalex.org/W2056598237","https://openalex.org/W2063549868","https://openalex.org/W2091791686","https://openalex.org/W2097797924","https://openalex.org/W2100657858","https://openalex.org/W2127025496","https://openalex.org/W2134147834","https://openalex.org/W2147191758","https://openalex.org/W2150572700","https://openalex.org/W2157946843","https://openalex.org/W2159361280","https://openalex.org/W2945830047","https://openalex.org/W2962865163","https://openalex.org/W2963702328","https://openalex.org/W2964245904","https://openalex.org/W4241422529","https://openalex.org/W4320800818","https://openalex.org/W6600845527","https://openalex.org/W6635776967","https://openalex.org/W6682654567","https://openalex.org/W6713517206","https://openalex.org/W6888447284"],"related_works":["https://openalex.org/W2090371488","https://openalex.org/W2065436436","https://openalex.org/W3103953379","https://openalex.org/W2949317336","https://openalex.org/W2038934250","https://openalex.org/W2761177411","https://openalex.org/W3014130553","https://openalex.org/W2808661772","https://openalex.org/W3101479211","https://openalex.org/W3040536995","https://openalex.org/W1549665907","https://openalex.org/W2018869459","https://openalex.org/W2770251224","https://openalex.org/W2260119898","https://openalex.org/W2279725335","https://openalex.org/W1759874738","https://openalex.org/W2058930483","https://openalex.org/W2069689905","https://openalex.org/W1973603231"],"abstract_inverted_index":{"Many":[0],"shape":[1,40,64,108],"analysis":[2,109],"methods":[3],"treat":[4],"the":[5,19,29,37,47,54,79,83],"geometry":[6],"of":[7,39,49],"an":[8],"object":[9],"as":[10,56,104],"a":[11,50,57,70],"metric":[12],"space":[13],"that":[14],"can":[15],"be":[16],"captured":[17],"by":[18,82],"Laplace-Beltrami":[20],"operator.":[21],"In":[22],"this":[23,43],"paper,":[24],"we":[25,45],"propose":[26],"to":[27,36,53,96,101],"adapt":[28],"classical":[30],"Hamiltonian":[31,84],"operator":[32,93],"from":[33],"quantum":[34],"mechanics":[35],"field":[38],"analysis.":[41],"To":[42],"end":[44],"study":[46],"addition":[48],"potential":[51],"function":[52],"Laplacian":[55],"generator":[58],"for":[59,74,88],"dual":[60],"spaces":[61,100],"in":[62],"which":[63],"processing":[65],"is":[66,94],"performed.":[67],"We":[68],"present":[69],"general":[71],"optimization":[72],"approach":[73],"solving":[75],"variational":[76],"problems":[77],"involving":[78],"basis":[80],"defined":[81],"using":[85],"perturbation":[86],"theory":[87],"its":[89],"eigenvectors.":[90],"The":[91],"suggested":[92],"shown":[95],"produce":[97],"better":[98],"functional":[99],"operate":[102],"with,":[103],"demonstrated":[105],"on":[106],"different":[107],"tasks.":[110]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1}],"updated_date":"2026-02-09T09:26:11.010843","created_date":"2025-10-10T00:00:00"}