{"id":"https://openalex.org/W2136883589","doi":"https://doi.org/10.1109/cvprw.2010.5543285","title":"Persistence-based segmentation of deformable shapes","display_name":"Persistence-based segmentation of deformable shapes","publication_year":2010,"publication_date":"2010-06-01","ids":{"openalex":"https://openalex.org/W2136883589","doi":"https://doi.org/10.1109/cvprw.2010.5543285","mag":"2136883589"},"language":"en","primary_location":{"id":"doi:10.1109/cvprw.2010.5543285","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cvprw.2010.5543285","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE Computer Society Conference on Computer Vision and Pattern Recognition - Workshops","raw_type":"proceedings-article"},"type":"preprint","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/A5049296186","display_name":"Primo\u017e \u0160kraba","orcid":"https://orcid.org/0000-0002-5300-8984"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I4210126360","display_name":"Inria Saclay - \u00cele de France","ror":"https://ror.org/0315e5x55","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210126360"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Primoz Skraba","raw_affiliation_strings":["INRIA-Saclay, Orsay, France","Inria Saclay, Orsay, France#TAB#"],"affiliations":[{"raw_affiliation_string":"INRIA-Saclay, Orsay, France","institution_ids":["https://openalex.org/I4210126360","https://openalex.org/I1326498283"]},{"raw_affiliation_string":"Inria Saclay, Orsay, France#TAB#","institution_ids":["https://openalex.org/I4210126360"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072368950","display_name":"Maks Ovsjanikov","orcid":"https://orcid.org/0000-0002-5867-4046"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Maks Ovsjanikov","raw_affiliation_strings":["University of Stanford, Stanford, CA, USA","Stanford Univerity, CA, USA"],"affiliations":[{"raw_affiliation_string":"University of Stanford, Stanford, CA, USA","institution_ids":["https://openalex.org/I97018004"]},{"raw_affiliation_string":"Stanford Univerity, CA, USA","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051247445","display_name":"Fr\u00e9d\u00e9ric Chazal","orcid":"https://orcid.org/0000-0002-3719-2187"},"institutions":[{"id":"https://openalex.org/I4210126360","display_name":"Inria Saclay - \u00cele de France","ror":"https://ror.org/0315e5x55","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210126360"]},{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Frederic Chazal","raw_affiliation_strings":["INRIA-Saclay, Orsay, France","Inria Saclay, Orsay, France#TAB#"],"affiliations":[{"raw_affiliation_string":"INRIA-Saclay, Orsay, France","institution_ids":["https://openalex.org/I4210126360","https://openalex.org/I1326498283"]},{"raw_affiliation_string":"Inria Saclay, Orsay, France#TAB#","institution_ids":["https://openalex.org/I4210126360"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065368881","display_name":"Leonidas Guibas","orcid":"https://orcid.org/0000-0002-8315-4886"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Leonidas Guibas","raw_affiliation_strings":["University of Stanford, Stanford, CA, USA","Stanford Univerity, CA, USA"],"affiliations":[{"raw_affiliation_string":"University of Stanford, Stanford, CA, USA","institution_ids":["https://openalex.org/I97018004"]},{"raw_affiliation_string":"Stanford Univerity, CA, USA","institution_ids":["https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5049296186"],"corresponding_institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I4210126360"],"apc_list":null,"apc_paid":null,"fwci":8.2006,"has_fulltext":false,"cited_by_count":111,"citation_normalized_percentile":{"value":0.98028482,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"45","last_page":"52"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9995999932289124,"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/T12859","display_name":"Cell Image Analysis Techniques","score":0.9824000000953674,"subfield":{"id":"https://openalex.org/subfields/1304","display_name":"Biophysics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9817000031471252,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/segmentation","display_name":"Segmentation","score":0.7098003625869751},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6216263771057129},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.533099353313446},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.5214366316795349},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.5109493136405945},{"id":"https://openalex.org/keywords/scale-space-segmentation","display_name":"Scale-space segmentation","score":0.485128253698349},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.4518255591392517},{"id":"https://openalex.org/keywords/image-segmentation","display_name":"Image segmentation","score":0.44430503249168396},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4076154828071594},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.39360809326171875},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.30638110637664795},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1104232668876648},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.09611588716506958}],"concepts":[{"id":"https://openalex.org/C89600930","wikidata":"https://www.wikidata.org/wiki/Q1423946","display_name":"Segmentation","level":2,"score":0.7098003625869751},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6216263771057129},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.533099353313446},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.5214366316795349},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.5109493136405945},{"id":"https://openalex.org/C65885262","wikidata":"https://www.wikidata.org/wiki/Q7429708","display_name":"Scale-space segmentation","level":4,"score":0.485128253698349},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.4518255591392517},{"id":"https://openalex.org/C124504099","wikidata":"https://www.wikidata.org/wiki/Q56933","display_name":"Image segmentation","level":3,"score":0.44430503249168396},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4076154828071594},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.39360809326171875},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.30638110637664795},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1104232668876648},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.09611588716506958},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cvprw.2010.5543285","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cvprw.2010.5543285","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE Computer Society Conference on Computer Vision and Pattern Recognition - Workshops","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.364.5018","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.364.5018","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://graphics.stanford.edu/projects/lgl/papers/socg-pbsds-10/socg-pbsds-10.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W1512571642","https://openalex.org/W1590776313","https://openalex.org/W1596547119","https://openalex.org/W1597141413","https://openalex.org/W1981618912","https://openalex.org/W1991566301","https://openalex.org/W2020428772","https://openalex.org/W2021232602","https://openalex.org/W2023808821","https://openalex.org/W2030797443","https://openalex.org/W2030959125","https://openalex.org/W2036865416","https://openalex.org/W2039428420","https://openalex.org/W2050204708","https://openalex.org/W2056761334","https://openalex.org/W2090800226","https://openalex.org/W2097824281","https://openalex.org/W2100657858","https://openalex.org/W2101412448","https://openalex.org/W2106874266","https://openalex.org/W2116707521","https://openalex.org/W2121717885","https://openalex.org/W2144044408","https://openalex.org/W2151407741","https://openalex.org/W2316587649","https://openalex.org/W3013843370","https://openalex.org/W4239071388","https://openalex.org/W4285719527","https://openalex.org/W6630680331","https://openalex.org/W6635281709","https://openalex.org/W6635501545","https://openalex.org/W6635776967","https://openalex.org/W6657946842"],"related_works":["https://openalex.org/W2185902295","https://openalex.org/W2103507220","https://openalex.org/W3144569342","https://openalex.org/W2945274617","https://openalex.org/W4313052709","https://openalex.org/W4205800335","https://openalex.org/W2055202857","https://openalex.org/W2022929107","https://openalex.org/W80586315","https://openalex.org/W2758994127"],"abstract_inverted_index":{"In":[0],"this":[1,29],"paper,":[2],"we":[3,79],"combine":[4],"two":[5],"ideas:":[6],"persistence-based":[7],"clustering":[8],"and":[9,41,94,103,112,119],"the":[10,48,54,57,62,76,84,116,120],"Heat":[11],"Kernel":[12],"Signature":[13],"(HKS)":[14],"function":[15],"to":[16,83],"obtain":[17],"a":[18,37,65,113],"multi-scale":[19],"isometry":[20],"invariant":[21],"mesh":[22],"segmentation":[23,117],"algorithm.":[24],"The":[25],"key":[26],"advantages":[27],"of":[28,56,59,64,75],"approach":[30],"is":[31,34,42],"that":[32],"it":[33],"tunable":[35],"through":[36],"few":[38],"intuitive":[39],"parameters":[40],"stable":[43],"under":[44],"near-isometric":[45],"deformations.":[46],"Indeed":[47],"method":[49,85],"comes":[50],"with":[51,105,115],"feedback":[52],"on":[53,73],"stability":[55],"number":[58],"segments":[60,95],"in":[61],"form":[63],"persistence":[66],"diagram.":[67],"There":[68],"are":[69,91,100],"also":[70],"spatial":[71],"guarantees":[72],"part":[74],"segments.":[77],"Finally,":[78],"present":[80],"an":[81],"extension":[82],"which":[86,90],"first":[87],"detects":[88],"regions":[89],"inherently":[92],"unstable":[93],"them":[96],"separately.":[97],"Both":[98],"approaches":[99],"reasonably":[101],"scalable":[102],"come":[104],"strong":[106],"guarantees.":[107],"We":[108],"show":[109],"numerous":[110],"examples":[111],"comparison":[114],"benchmark":[118],"curvature":[121],"function.":[122]},"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":9},{"year":2018,"cited_by_count":11},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":11},{"year":2015,"cited_by_count":10},{"year":2014,"cited_by_count":9},{"year":2013,"cited_by_count":8},{"year":2012,"cited_by_count":6}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}