{"id":"https://openalex.org/W2075944455","doi":"https://doi.org/10.1145/1542362.1542381","title":"The scale axis picture show","display_name":"The scale axis picture show","publication_year":2009,"publication_date":"2009-06-08","ids":{"openalex":"https://openalex.org/W2075944455","doi":"https://doi.org/10.1145/1542362.1542381","mag":"2075944455"},"language":"en","primary_location":{"id":"doi:10.1145/1542362.1542381","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1542362.1542381","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the twenty-fifth annual symposium on Computational geometry","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://infoscience.epfl.ch/record/149320","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5027313464","display_name":"Joachim Giesen","orcid":"https://orcid.org/0000-0001-6598-6833"},"institutions":[{"id":"https://openalex.org/I76198965","display_name":"Friedrich Schiller University Jena","ror":"https://ror.org/05qpz1x62","country_code":"DE","type":"education","lineage":["https://openalex.org/I76198965"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Joachim Giesen","raw_affiliation_strings":["Friedrich Schiller University, Jena, Germany","Friedrich-Schiller-University Jena, , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Friedrich Schiller University, Jena, Germany","institution_ids":["https://openalex.org/I76198965"]},{"raw_affiliation_string":"Friedrich-Schiller-University Jena, , Germany","institution_ids":["https://openalex.org/I76198965"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076271495","display_name":"Mikl\u00f3s B\u00e1lint","orcid":"https://orcid.org/0000-0003-0499-8536"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Balint Miklos","raw_affiliation_strings":["ETH, Z\u00fcrich, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ETH, Z\u00fcrich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072048687","display_name":"Mark V. Pauly","orcid":"https://orcid.org/0000-0003-4957-4825"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Mark Pauly","raw_affiliation_strings":["ETH, Z\u00fcrich, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ETH, Z\u00fcrich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021965210","display_name":"Camille Wormser","orcid":null},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Camille Wormser","raw_affiliation_strings":["ETH, Z\u00fcrich, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ETH, Z\u00fcrich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.15125044,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"94","last_page":"95"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9995999932289124,"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":0.9995999932289124,"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/T12417","display_name":"Morphological variations and asymmetry","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.996999979019165,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/medial-axis","display_name":"Medial axis","score":0.8483126759529114},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.7761425971984863},{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.6528584957122803},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6341947317123413},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.5142726302146912},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.5056943893432617},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42192232608795166},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4080890119075775},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.31715667247772217},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2172609269618988},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.20195814967155457}],"concepts":[{"id":"https://openalex.org/C185877587","wikidata":"https://www.wikidata.org/wiki/Q1757407","display_name":"Medial axis","level":2,"score":0.8483126759529114},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.7761425971984863},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.6528584957122803},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6341947317123413},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.5142726302146912},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.5056943893432617},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42192232608795166},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4080890119075775},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.31715667247772217},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2172609269618988},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.20195814967155457},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/1542362.1542381","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1542362.1542381","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the twenty-fifth annual symposium on Computational geometry","raw_type":"proceedings-article"},{"id":"pmh:oai:infoscience.epfl.ch:149320","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/149320","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"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":"","raw_type":"Text"}],"best_oa_location":{"id":"pmh:oai:infoscience.epfl.ch:149320","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/149320","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"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":"","raw_type":"Text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1986218493","https://openalex.org/W2020065037","https://openalex.org/W2037162618","https://openalex.org/W2042164224","https://openalex.org/W2042353183","https://openalex.org/W2088352159","https://openalex.org/W2095116525","https://openalex.org/W2115920764","https://openalex.org/W2159584837"],"related_works":["https://openalex.org/W3080875783","https://openalex.org/W1978042415","https://openalex.org/W3086542228","https://openalex.org/W2357085366","https://openalex.org/W2017331178","https://openalex.org/W2950011768","https://openalex.org/W2976797620","https://openalex.org/W3104563367","https://openalex.org/W2017215623","https://openalex.org/W2488423297"],"abstract_inverted_index":{"We":[0],"demonstrate":[1],"how":[2],"the":[3,23,44,55,59,67,78],"scale":[4,48,51],"axis":[5,49,57],"transform":[6],"can":[7],"be":[8],"used":[9],"to":[10],"compute":[11],"a":[12,28,31,35],"parameterized":[13],"family":[14],"of":[15,27,43,58,69,72],"shape":[16,36,62],"skeletons.":[17],"The":[18,47],"skeletons":[19],"gradually":[20],"represent":[21],"only":[22],"most":[24],"important":[25],"features":[26],"shape,":[29],"in":[30],"scale-adaptive":[32],"manner.":[33],"Here":[34],"O":[37,73],"is":[38,54,66],"any":[39],"bounded":[40],"open":[41],"subset":[42],"plane":[45],"R2.":[46],"for":[50],"value":[52],"$s$":[53],"medial":[56,70],"multiplicatively":[60],"grown":[61],"O_s,":[63],"where":[64],"Os":[65],"union":[68],"balls":[71],"with":[74],"radii":[75],"scaled":[76],"by":[77],"factor":[79],"s.":[80]},"counts_by_year":[{"year":2015,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}