{"id":"https://openalex.org/W2604931804","doi":"https://doi.org/10.1007/978-3-319-66272-5_20","title":"Heat Kernel Laplace-Beltrami Operator on Digital Surfaces","display_name":"Heat Kernel Laplace-Beltrami Operator on Digital Surfaces","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2604931804","doi":"https://doi.org/10.1007/978-3-319-66272-5_20","mag":"2604931804"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-66272-5_20","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-66272-5_20","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"conference-paper","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/A5077627014","display_name":"Thomas Caissard","orcid":"https://orcid.org/0000-0002-2787-8898"},"institutions":[{"id":"https://openalex.org/I100532134","display_name":"Universit\u00e9 Claude Bernard Lyon 1","ror":"https://ror.org/029brtt94","country_code":"FR","type":"education","lineage":["https://openalex.org/I100532134","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210155607","display_name":"Laboratoire d'Informatique en Images et Syst\u00e8mes d'Information","ror":"https://ror.org/04dv4he91","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100532134","https://openalex.org/I112936343","https://openalex.org/I1294671590","https://openalex.org/I188626449","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I4210155607","https://openalex.org/I48430043"]},{"id":"https://openalex.org/I48430043","display_name":"Institut National des Sciences Appliqu\u00e9es de Lyon","ror":"https://ror.org/050jn9y42","country_code":"FR","type":"education","lineage":["https://openalex.org/I203339264","https://openalex.org/I48430043"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Thomas Caissard","raw_affiliation_strings":["Univ Lyon, CNRS, INSA-Lyon, LIRIS, UMR 5205, 69621, Lyon, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Univ Lyon, CNRS, INSA-Lyon, LIRIS, UMR 5205, 69621, Lyon, France","institution_ids":["https://openalex.org/I100532134","https://openalex.org/I1294671590","https://openalex.org/I4210155607","https://openalex.org/I48430043"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089992437","display_name":"David C\u0153urjolly","orcid":"https://orcid.org/0000-0003-3164-8697"},"institutions":[{"id":"https://openalex.org/I100532134","display_name":"Universit\u00e9 Claude Bernard Lyon 1","ror":"https://ror.org/029brtt94","country_code":"FR","type":"education","lineage":["https://openalex.org/I100532134","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210155607","display_name":"Laboratoire d'Informatique en Images et Syst\u00e8mes d'Information","ror":"https://ror.org/04dv4he91","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100532134","https://openalex.org/I112936343","https://openalex.org/I1294671590","https://openalex.org/I188626449","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I4210155607","https://openalex.org/I48430043"]},{"id":"https://openalex.org/I48430043","display_name":"Institut National des Sciences Appliqu\u00e9es de Lyon","ror":"https://ror.org/050jn9y42","country_code":"FR","type":"education","lineage":["https://openalex.org/I203339264","https://openalex.org/I48430043"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"David Coeurjolly","raw_affiliation_strings":["Univ Lyon, CNRS, INSA-Lyon, LIRIS, UMR 5205, 69621, Lyon, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Univ Lyon, CNRS, INSA-Lyon, LIRIS, UMR 5205, 69621, Lyon, France","institution_ids":["https://openalex.org/I100532134","https://openalex.org/I1294671590","https://openalex.org/I4210155607","https://openalex.org/I48430043"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012786076","display_name":"Jacques\u2010Olivier Lachaud","orcid":"https://orcid.org/0000-0003-4236-2133"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210144844","display_name":"Laboratoire d\u2019Analyse et de Math\u00e9matiques Appliqu\u00e9es","ror":"https://ror.org/0581g8849","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I197681013","https://openalex.org/I4210141950","https://openalex.org/I4210144844","https://openalex.org/I4210154111"]},{"id":"https://openalex.org/I70900168","display_name":"Universit\u00e9 Savoie Mont Blanc","ror":"https://ror.org/04gqg1a07","country_code":"FR","type":"education","lineage":["https://openalex.org/I70900168"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jacques-Olivier Lachaud","raw_affiliation_strings":["Universit\u00e9 de Savoie, CNRS, LAMA UMR 5127, 73776, Chamb\u00e9ry, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 de Savoie, CNRS, LAMA UMR 5127, 73776, Chamb\u00e9ry, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210144844","https://openalex.org/I70900168"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082836734","display_name":"Tristan Roussillon","orcid":"https://orcid.org/0000-0003-2524-3685"},"institutions":[{"id":"https://openalex.org/I100532134","display_name":"Universit\u00e9 Claude Bernard Lyon 1","ror":"https://ror.org/029brtt94","country_code":"FR","type":"education","lineage":["https://openalex.org/I100532134","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210155607","display_name":"Laboratoire d'Informatique en Images et Syst\u00e8mes d'Information","ror":"https://ror.org/04dv4he91","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100532134","https://openalex.org/I112936343","https://openalex.org/I1294671590","https://openalex.org/I188626449","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I4210155607","https://openalex.org/I48430043"]},{"id":"https://openalex.org/I48430043","display_name":"Institut National des Sciences Appliqu\u00e9es de Lyon","ror":"https://ror.org/050jn9y42","country_code":"FR","type":"education","lineage":["https://openalex.org/I203339264","https://openalex.org/I48430043"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Tristan Roussillon","raw_affiliation_strings":["Univ Lyon, CNRS, INSA-Lyon, LIRIS, UMR 5205, 69621, Lyon, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Univ Lyon, CNRS, INSA-Lyon, LIRIS, UMR 5205, 69621, Lyon, France","institution_ids":["https://openalex.org/I100532134","https://openalex.org/I1294671590","https://openalex.org/I4210155607","https://openalex.org/I48430043"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5077627014"],"corresponding_institution_ids":["https://openalex.org/I100532134","https://openalex.org/I1294671590","https://openalex.org/I4210155607","https://openalex.org/I48430043"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"241","last_page":"253"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9997000098228455,"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/T10719","display_name":"3D Shape Modeling and Analysis","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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9991999864578247,"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":0.9988999962806702,"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/operator","display_name":"Operator (biology)","score":0.6823693513870239},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6572035551071167},{"id":"https://openalex.org/keywords/digital-geometry","display_name":"Digital geometry","score":0.6069387793540955},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.5593252778053284},{"id":"https://openalex.org/keywords/laplace\u2013beltrami-operator","display_name":"Laplace\u2013Beltrami operator","score":0.537307858467102},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.5262291431427002},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.49779796600341797},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.4799090325832367},{"id":"https://openalex.org/keywords/multigrid-method","display_name":"Multigrid method","score":0.45017409324645996},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.43952038884162903},{"id":"https://openalex.org/keywords/laplaces-equation","display_name":"Laplace's equation","score":0.4309000074863434},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36933663487434387},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.3476346731185913},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.33928269147872925},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.33011680841445923},{"id":"https://openalex.org/keywords/digital-image","display_name":"Digital image","score":0.32861530780792236},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2893919348716736},{"id":"https://openalex.org/keywords/p-laplacian","display_name":"p-Laplacian","score":0.25582176446914673},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23101413249969482},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.2232670783996582},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.1899787187576294},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.1799531877040863},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.1516658365726471},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.09429365396499634}],"concepts":[{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.6823693513870239},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6572035551071167},{"id":"https://openalex.org/C192368570","wikidata":"https://www.wikidata.org/wiki/Q1789829","display_name":"Digital geometry","level":5,"score":0.6069387793540955},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.5593252778053284},{"id":"https://openalex.org/C49747540","wikidata":"https://www.wikidata.org/wiki/Q1071846","display_name":"Laplace\u2013Beltrami operator","level":4,"score":0.537307858467102},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.5262291431427002},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.49779796600341797},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.4799090325832367},{"id":"https://openalex.org/C137119250","wikidata":"https://www.wikidata.org/wiki/Q1413101","display_name":"Multigrid method","level":3,"score":0.45017409324645996},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.43952038884162903},{"id":"https://openalex.org/C70615421","wikidata":"https://www.wikidata.org/wiki/Q339444","display_name":"Laplace's equation","level":3,"score":0.4309000074863434},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36933663487434387},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.3476346731185913},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.33928269147872925},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.33011680841445923},{"id":"https://openalex.org/C42781572","wikidata":"https://www.wikidata.org/wiki/Q1250322","display_name":"Digital image","level":4,"score":0.32861530780792236},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2893919348716736},{"id":"https://openalex.org/C203269682","wikidata":"https://www.wikidata.org/wiki/Q7116898","display_name":"p-Laplacian","level":3,"score":0.25582176446914673},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23101413249969482},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.2232670783996582},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.1899787187576294},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.1799531877040863},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.1516658365726471},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.09429365396499634},{"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-66272-5_20","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-66272-5_20","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1102894781","display_name":"Convergent Metrics for Digital Calculus","funder_award_id":"ANR-15-CE40-0006","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W34048215","https://openalex.org/W103814273","https://openalex.org/W1491498125","https://openalex.org/W1585247684","https://openalex.org/W1594387031","https://openalex.org/W1676864034","https://openalex.org/W1757236967","https://openalex.org/W1903265043","https://openalex.org/W1910188845","https://openalex.org/W1974956622","https://openalex.org/W1981784948","https://openalex.org/W1989368986","https://openalex.org/W2001795969","https://openalex.org/W2020955991","https://openalex.org/W2024907912","https://openalex.org/W2029339103","https://openalex.org/W2039910758","https://openalex.org/W2083561088","https://openalex.org/W2097824281","https://openalex.org/W2099068061","https://openalex.org/W2120103450","https://openalex.org/W2142301323","https://openalex.org/W2163787581","https://openalex.org/W2320271346","https://openalex.org/W3125178117","https://openalex.org/W4230728195","https://openalex.org/W4239890145"],"related_works":["https://openalex.org/W2957646446","https://openalex.org/W2101716776","https://openalex.org/W230695242","https://openalex.org/W3094993849","https://openalex.org/W2471380842","https://openalex.org/W4302308045","https://openalex.org/W3039460879","https://openalex.org/W3083335825","https://openalex.org/W2591906305","https://openalex.org/W4283762067"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}
