{"id":"https://openalex.org/W6926458578","doi":"https://doi.org/10.2312/sbm/sbm10/001-008","title":"Sketching Variational Hermite-RBF Implicits","display_name":"Sketching Variational Hermite-RBF Implicits","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W6926458578","doi":"https://doi.org/10.2312/sbm/sbm10/001-008"},"language":"en","primary_location":{"id":"doi:10.2312/sbm/sbm10/001-008","is_oa":true,"landing_page_url":"https://doi.org/10.2312/sbm/sbm10/001-008","pdf_url":null,"source":{"id":"https://openalex.org/S7407052899","display_name":"Eurographics","issn_l":null,"issn":[],"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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"type":"other","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.2312/sbm/sbm10/001-008","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Brazil, Emilio Vital","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Brazil, Emilio Vital","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Macedo, Ives","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Macedo, Ives","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Sousa, Mario Costa","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sousa, Mario Costa","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Figueiredo, Luiz Henrique De","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Figueiredo, Luiz Henrique De","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":null,"display_name":"Velho, Luiz","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Velho, Luiz","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":true,"primary_topic":{"id":"https://openalex.org/T10252","display_name":"Microbial Natural Products and Biosynthesis","score":0.10559999942779541,"subfield":{"id":"https://openalex.org/subfields/2736","display_name":"Pharmacology"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},"topics":[{"id":"https://openalex.org/T10252","display_name":"Microbial Natural Products and Biosynthesis","score":0.10559999942779541,"subfield":{"id":"https://openalex.org/subfields/2736","display_name":"Pharmacology"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T10015","display_name":"Genomics and Phylogenetic Studies","score":0.07280000299215317,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"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/T13736","display_name":"Steroid Chemistry and Biochemistry","score":0.06639999896287918,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"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"}}],"keywords":[{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5681999921798706},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5590000152587891},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5153999924659729},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4851999878883362},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.4291999936103821},{"id":"https://openalex.org/keywords/basis-function","display_name":"Basis function","score":0.3928000032901764},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.37040001153945923},{"id":"https://openalex.org/keywords/hermite-polynomials","display_name":"Hermite polynomials","score":0.36730000376701355}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5806000232696533},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5681999921798706},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5590000152587891},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5153999924659729},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.508899986743927},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4851999878883362},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.4291999936103821},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3930000066757202},{"id":"https://openalex.org/C5917680","wikidata":"https://www.wikidata.org/wiki/Q2621825","display_name":"Basis function","level":2,"score":0.3928000032901764},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.37040001153945923},{"id":"https://openalex.org/C201362023","wikidata":"https://www.wikidata.org/wiki/Q658574","display_name":"Hermite polynomials","level":2,"score":0.36730000376701355},{"id":"https://openalex.org/C192939610","wikidata":"https://www.wikidata.org/wiki/Q188444","display_name":"Differential geometry","level":2,"score":0.3644999861717224},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3474000096321106},{"id":"https://openalex.org/C104065381","wikidata":"https://www.wikidata.org/wiki/Q1002535","display_name":"Geometric modeling","level":2,"score":0.33469998836517334},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.33320000767707825},{"id":"https://openalex.org/C113843644","wikidata":"https://www.wikidata.org/wiki/Q901882","display_name":"Interface (matter)","level":4,"score":0.30970001220703125},{"id":"https://openalex.org/C129641003","wikidata":"https://www.wikidata.org/wiki/Q267189","display_name":"Active shape model","level":3,"score":0.2915000021457672},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2856999933719635},{"id":"https://openalex.org/C17137986","wikidata":"https://www.wikidata.org/wiki/Q215067","display_name":"Orthogonality","level":2,"score":0.2809000015258789},{"id":"https://openalex.org/C167528306","wikidata":"https://www.wikidata.org/wiki/Q5508776","display_name":"Function representation","level":3,"score":0.271699994802475},{"id":"https://openalex.org/C15312841","wikidata":"https://www.wikidata.org/wiki/Q1657198","display_name":"Set function","level":3,"score":0.26669999957084656},{"id":"https://openalex.org/C7305733","wikidata":"https://www.wikidata.org/wiki/Q207961","display_name":"Geometric shape","level":2,"score":0.26249998807907104},{"id":"https://openalex.org/C71169176","wikidata":"https://www.wikidata.org/wiki/Q7512907","display_name":"Signed distance function","level":2,"score":0.2531000077724457},{"id":"https://openalex.org/C98856871","wikidata":"https://www.wikidata.org/wiki/Q1588488","display_name":"Radial basis function","level":3,"score":0.25279998779296875}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.2312/sbm/sbm10/001-008","is_oa":true,"landing_page_url":"https://doi.org/10.2312/sbm/sbm10/001-008","pdf_url":null,"source":{"id":"https://openalex.org/S7407052899","display_name":"Eurographics","issn_l":null,"issn":[],"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.2312/sbm/sbm10/001-008","is_oa":true,"landing_page_url":"https://doi.org/10.2312/sbm/sbm10/001-008","pdf_url":null,"source":{"id":"https://openalex.org/S7407052899","display_name":"Eurographics","issn_l":null,"issn":[],"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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"We":[0,113],"present":[1,114],"techniques":[2],"for":[3,32,127],"modeling":[4,19],"Variational":[5],"Hermite":[6],"Radial":[7],"Basis":[8],"Function":[9],"(VHRBF)":[10],"Implicits":[11,23,101],"using":[12],"a":[13,25,43,61,121],"set":[14,122],"of":[15,48,63,80,99,110,116,123],"sketch-based":[16],"interface":[17],"and":[18,27,45,88,92,104,132],"(SBIM)":[20],"operators.":[21],"VHRBF":[22,100],"is":[24],"simple":[26],"compact":[28],"representation":[29],"well":[30],"suited":[31],"SBIM.":[33],"It":[34],"provides":[35],"quality":[36],"reconstructions,":[37],"preserving":[38],"the":[39,54,75,107],"intended":[40],"shape":[41,109],"from":[42,53,120],"coarse":[44],"nonuniform":[46],"number":[47,62],"point-normal":[49],"samples":[50],"extracted":[51],"directly":[52],"input":[55,76],"strokes.":[56],"In":[57],"addition,":[58],"it":[59],"has":[60],"desirable":[64],"properties":[65,98],"such":[66],"as":[67],"parameter-free":[68],"modeling,":[69],"invariance":[70],"under":[71],"geometric":[72],"similarities":[73],"on":[74],"strokes,":[77],"suitable":[78],"estimation":[79],"differential":[81],"quantities,":[82],"good":[83],"behavior":[84],"near":[85],"close":[86],"sheets,":[87],"both":[89],"linear":[90],"fitting":[91],"reproduction.":[93],"Our":[94],"approach":[95],"uses":[96],"these":[97],"to":[102],"quickly":[103],"robustly":[105],"generate":[106],"overall":[108],"3D":[111],"models.":[112],"examples":[115],"implicit":[117],"models":[118],"obtained":[119],"SBIM":[124],"language":[125],"operators":[126],"contouring,":[128],"cross-editing,":[129],"kneading,":[130],"oversketching":[131],"merging.":[133]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}