{"id":"https://openalex.org/W2123522423","doi":"https://doi.org/10.1109/gmap.2004.1290035","title":"Analyzing and enhancing the robustness of implicit representations","display_name":"Analyzing and enhancing the robustness of implicit representations","publication_year":2004,"publication_date":"2004-06-10","ids":{"openalex":"https://openalex.org/W2123522423","doi":"https://doi.org/10.1109/gmap.2004.1290035","mag":"2123522423"},"language":"en","primary_location":{"id":"doi:10.1109/gmap.2004.1290035","is_oa":false,"landing_page_url":"https://doi.org/10.1109/gmap.2004.1290035","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Geometric Modeling and Processing, 2004. Proceedings","raw_type":"proceedings-article"},"type":"article","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/A5012929183","display_name":"Martin Aigner","orcid":"https://orcid.org/0000-0003-4568-9836"},"institutions":[{"id":"https://openalex.org/I121883995","display_name":"Johannes Kepler University of Linz","ror":"https://ror.org/052r2xn60","country_code":"AT","type":"education","lineage":["https://openalex.org/I121883995"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"M. Aigner","raw_affiliation_strings":["Institute of Applied Geometry, Johannes Kepler University Linz, Linz, Austria","Institute of Applied Geometry, Johannes Kepler University, Linz, Austria"],"affiliations":[{"raw_affiliation_string":"Institute of Applied Geometry, Johannes Kepler University Linz, Linz, Austria","institution_ids":["https://openalex.org/I121883995"]},{"raw_affiliation_string":"Institute of Applied Geometry, Johannes Kepler University, Linz, Austria","institution_ids":["https://openalex.org/I121883995"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045854462","display_name":"Bert J\u00fcttler","orcid":"https://orcid.org/0000-0002-5518-7795"},"institutions":[{"id":"https://openalex.org/I121883995","display_name":"Johannes Kepler University of Linz","ror":"https://ror.org/052r2xn60","country_code":"AT","type":"education","lineage":["https://openalex.org/I121883995"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"B. Juttler","raw_affiliation_strings":["Institute of Applied Geometry, Johannes Kepler University, Linz, Austria"],"affiliations":[{"raw_affiliation_string":"Institute of Applied Geometry, Johannes Kepler University, Linz, Austria","institution_ids":["https://openalex.org/I121883995"]}]},{"author_position":"last","author":{"id":null,"display_name":"Myung-Soo Kim","orcid":null},"institutions":[{"id":"https://openalex.org/I139264467","display_name":"Seoul National University","ror":"https://ror.org/04h9pn542","country_code":"KR","type":"education","lineage":["https://openalex.org/I139264467"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Myung-Soo Kim","raw_affiliation_strings":["School of Computer Science and Engineering, Seoul National University, Seoul, South Korea","Seoul National Univ"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Engineering, Seoul National University, Seoul, South Korea","institution_ids":["https://openalex.org/I139264467"]},{"raw_affiliation_string":"Seoul National Univ","institution_ids":["https://openalex.org/I139264467"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5012929183"],"corresponding_institution_ids":["https://openalex.org/I121883995"],"apc_list":null,"apc_paid":null,"fwci":2.2754,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.87496708,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"131","last_page":"140"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9998999834060669,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9998999834060669,"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9947999715805054,"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"}},{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.991599977016449,"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/robustness","display_name":"Robustness (evolution)","score":0.9163566827774048},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5184807181358337},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4454381465911865},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4178151488304138},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.37800899147987366},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.33891552686691284},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2222335934638977},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19156548380851746}],"concepts":[{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.9163566827774048},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5184807181358337},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4454381465911865},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4178151488304138},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37800899147987366},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.33891552686691284},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2222335934638977},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19156548380851746},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","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},{"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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/gmap.2004.1290035","is_oa":false,"landing_page_url":"https://doi.org/10.1109/gmap.2004.1290035","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Geometric Modeling and Processing, 2004. Proceedings","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.92.5058","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.92.5058","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ag.jku.at/pubs/aae04.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5,"id":"https://metadata.un.org/sdg/13","display_name":"Climate action"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W38949178","https://openalex.org/W1528814089","https://openalex.org/W1622880316","https://openalex.org/W1791330396","https://openalex.org/W1964673636","https://openalex.org/W1977514271","https://openalex.org/W1978015690","https://openalex.org/W1987141393","https://openalex.org/W2002831093","https://openalex.org/W2008687970","https://openalex.org/W2016739260","https://openalex.org/W2045545335","https://openalex.org/W2050134789","https://openalex.org/W2093834886","https://openalex.org/W2118036253","https://openalex.org/W2120727046","https://openalex.org/W2146968309","https://openalex.org/W2232657515","https://openalex.org/W2319466955","https://openalex.org/W2912685169","https://openalex.org/W4206360718","https://openalex.org/W4212781311","https://openalex.org/W4248826752","https://openalex.org/W4250501683","https://openalex.org/W6677921905"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2051487156","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793"],"abstract_inverted_index":{"We":[0],"introduce":[1],"a":[2,39],"robustness":[3,48],"measure":[4],"which":[5,29],"allows":[6],"to":[7,16,23],"analyze":[8],"implicitly":[9,51],"defined":[10,52],"curves":[11],"and":[12],"surfaces":[13],"with":[14,62],"respect":[15],"their":[17],"stability.":[18],"It":[19,43],"can":[20,56],"be":[21,57],"used":[22],"bound":[24],"the":[25,36,47],"maximal":[26],"position":[27],"error,":[28],"is":[30,44],"introduced":[31],"by":[32,59],"small":[33],"perturbations":[34],"of":[35,38,49],"coefficients":[37],"curve":[40,53],"or":[41,54],"surface.":[42],"shown":[45],"that":[46],"an":[50],"surface":[55],"enhanced":[58],"multiplying":[60],"it":[61],"auxiliary":[63],"factors.":[64]},"counts_by_year":[],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}
