{"id":"https://openalex.org/W2282032878","doi":"https://doi.org/10.1007/978-3-642-40020-9_59","title":"Complete Lattice Structure of Poincar\u00e9 Upper-Half Plane and Mathematical Morphology for Hyperbolic-Valued Images","display_name":"Complete Lattice Structure of Poincar\u00e9 Upper-Half Plane and Mathematical Morphology for Hyperbolic-Valued Images","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2282032878","doi":"https://doi.org/10.1007/978-3-642-40020-9_59","mag":"2282032878"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-40020-9_59","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-40020-9_59","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":"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/A5107538313","display_name":"Jes\u00fas Angulo","orcid":null},"institutions":[{"id":"https://openalex.org/I70768539","display_name":"\u00c9cole Nationale Sup\u00e9rieure des Mines de Paris","ror":"https://ror.org/04y8cs423","country_code":"FR","type":"education","lineage":["https://openalex.org/I190752583","https://openalex.org/I2746051580","https://openalex.org/I70768539"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Jes\u00fas Angulo","raw_affiliation_strings":["CMM-Centre de Morphologie Math\u00e9matique, Math\u00e9matiques et Syst\u00e8mes, MINES ParisTech, France","CMM - Centre de Morphologie Math\u00e9matique (35 rue Saint-Honor\u00e9 77305 Fontainebleau cedex - France)"],"affiliations":[{"raw_affiliation_string":"CMM-Centre de Morphologie Math\u00e9matique, Math\u00e9matiques et Syst\u00e8mes, MINES ParisTech, France","institution_ids":["https://openalex.org/I70768539"]},{"raw_affiliation_string":"CMM - Centre de Morphologie Math\u00e9matique (35 rue Saint-Honor\u00e9 77305 Fontainebleau cedex - France)","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081107954","display_name":"Santiago Velasco-Forero","orcid":"https://orcid.org/0000-0002-2438-1747"},"institutions":[{"id":"https://openalex.org/I3019415892","display_name":"Fraunhofer Institute for Industrial Mathematics","ror":"https://ror.org/019hjw009","country_code":"DE","type":"facility","lineage":["https://openalex.org/I3019415892","https://openalex.org/I4923324"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Santiago Velasco-Forero","raw_affiliation_strings":["Fraunhofer Institute, ITWM, Kaiserlautern, Germany","CMM - Centre de Morphologie Math\u00e9matique (35 rue Saint-Honor\u00e9 77305 Fontainebleau cedex - France)"],"affiliations":[{"raw_affiliation_string":"Fraunhofer Institute, ITWM, Kaiserlautern, Germany","institution_ids":["https://openalex.org/I3019415892"]},{"raw_affiliation_string":"CMM - Centre de Morphologie Math\u00e9matique (35 rue Saint-Honor\u00e9 77305 Fontainebleau cedex - France)","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5107538313"],"corresponding_institution_ids":["https://openalex.org/I70768539"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.3216,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.81748304,"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":"535","last_page":"542"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.9896000027656555,"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"}},"topics":[{"id":"https://openalex.org/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.9896000027656555,"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9837999939918518,"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":0.9764000177383423,"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/mathematics","display_name":"Mathematics","score":0.6712460517883301},{"id":"https://openalex.org/keywords/mathematical-morphology","display_name":"Mathematical morphology","score":0.6132944226264954},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.6075574159622192},{"id":"https://openalex.org/keywords/pixel","display_name":"Pixel","score":0.5796374678611755},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.5589830279350281},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.551776111125946},{"id":"https://openalex.org/keywords/univariate","display_name":"Univariate","score":0.5093854069709778},{"id":"https://openalex.org/keywords/hyperbolic-geometry","display_name":"Hyperbolic geometry","score":0.45711493492126465},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.428364634513855},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.4165634512901306},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.41430768370628357},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3534635305404663},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.35217633843421936},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.25287652015686035},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.1826217770576477},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.17625847458839417},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.15494954586029053},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.14845120906829834},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13276219367980957}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6712460517883301},{"id":"https://openalex.org/C185568154","wikidata":"https://www.wikidata.org/wiki/Q530242","display_name":"Mathematical morphology","level":4,"score":0.6132944226264954},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.6075574159622192},{"id":"https://openalex.org/C160633673","wikidata":"https://www.wikidata.org/wiki/Q355198","display_name":"Pixel","level":2,"score":0.5796374678611755},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.5589830279350281},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.551776111125946},{"id":"https://openalex.org/C199163554","wikidata":"https://www.wikidata.org/wiki/Q1681619","display_name":"Univariate","level":3,"score":0.5093854069709778},{"id":"https://openalex.org/C206352148","wikidata":"https://www.wikidata.org/wiki/Q209306","display_name":"Hyperbolic geometry","level":3,"score":0.45711493492126465},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.428364634513855},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.4165634512901306},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.41430768370628357},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3534635305404663},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.35217633843421936},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.25287652015686035},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.1826217770576477},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.17625847458839417},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15494954586029053},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.14845120906829834},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13276219367980957},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C192939610","wikidata":"https://www.wikidata.org/wiki/Q188444","display_name":"Differential geometry","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/978-3-642-40020-9_59","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-40020-9_59","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"},{"id":"pmh:oai:HAL:hal-01536381v1","is_oa":false,"landing_page_url":"https://minesparis-psl.hal.science/hal-01536381","pdf_url":null,"source":{"id":"https://openalex.org/S4406922461","display_name":"SPIRE - Sciences Po Institutional REpository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"First International Conference on Geometric Science of Information (GSI'2013), Aug 2013, Paris, France. pp.535 - 542, ⟨10.1007/978-3-642-40020-9_59⟩","raw_type":"Conference papers"},{"id":"pmh:oai:publica.fraunhofer.de:publica/383161","is_oa":false,"landing_page_url":"https://publica.fraunhofer.de/handle/publica/383161","pdf_url":null,"source":{"id":"https://openalex.org/S4306400318","display_name":"Fraunhofer-Publica (Fraunhofer-Gesellschaft)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4923324","host_organization_name":"Fraunhofer-Gesellschaft","host_organization_lineage":["https://openalex.org/I4923324"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"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":12,"referenced_works":["https://openalex.org/W105040326","https://openalex.org/W1573082642","https://openalex.org/W1590218343","https://openalex.org/W1968918672","https://openalex.org/W1995327525","https://openalex.org/W2017203286","https://openalex.org/W2054590444","https://openalex.org/W2068131844","https://openalex.org/W2164118370","https://openalex.org/W2164741953","https://openalex.org/W2505399031","https://openalex.org/W3015754474"],"related_works":["https://openalex.org/W1828158523","https://openalex.org/W2047547195","https://openalex.org/W204175656","https://openalex.org/W2357143406","https://openalex.org/W1993992974","https://openalex.org/W1512294453","https://openalex.org/W2058740282","https://openalex.org/W2375111338","https://openalex.org/W2220864757","https://openalex.org/W2352304637"],"abstract_inverted_index":null,"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}