{"id":"https://openalex.org/W2117376586","doi":"https://doi.org/10.1109/3dim.2007.27","title":"Generalized MPU Implicits Using Belief Propagation","display_name":"Generalized MPU Implicits Using Belief Propagation","publication_year":2007,"publication_date":"2007-08-01","ids":{"openalex":"https://openalex.org/W2117376586","doi":"https://doi.org/10.1109/3dim.2007.27","mag":"2117376586"},"language":"en","primary_location":{"id":"doi:10.1109/3dim.2007.27","is_oa":false,"landing_page_url":"https://doi.org/10.1109/3dim.2007.27","pdf_url":null,"source":{"id":"https://openalex.org/S4210179741","display_name":"Proceedings","issn_l":"1550-6185","issn":["1550-6185"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Sixth International Conference on 3-D Digital Imaging and Modeling (3DIM 2007)","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/A5100738422","display_name":"Yi\u2010Ling Chen","orcid":"https://orcid.org/0000-0002-9789-2441"},"institutions":[{"id":"https://openalex.org/I4210137693","display_name":"Siemens (United States)","ror":"https://ror.org/04axb7e79","country_code":"US","type":"company","lineage":["https://openalex.org/I1325886976","https://openalex.org/I4210137693"]},{"id":"https://openalex.org/I25846049","display_name":"National Tsing Hua University","ror":"https://ror.org/00zdnkx70","country_code":"TW","type":"education","lineage":["https://openalex.org/I25846049"]}],"countries":["TW","US"],"is_corresponding":true,"raw_author_name":"Yi-Ling Chen","raw_affiliation_strings":["Department of Computer Science, National Tsing Hua University, Hsinchu, Taiwan","Siemens Corporate Research, Inc., Princeton, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, National Tsing Hua University, Hsinchu, Taiwan","institution_ids":["https://openalex.org/I25846049"]},{"raw_affiliation_string":"Siemens Corporate Research, Inc., Princeton, USA","institution_ids":["https://openalex.org/I4210137693"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073849580","display_name":"Shang\u2010Hong Lai","orcid":"https://orcid.org/0000-0002-5092-993X"},"institutions":[{"id":"https://openalex.org/I25846049","display_name":"National Tsing Hua University","ror":"https://ror.org/00zdnkx70","country_code":"TW","type":"education","lineage":["https://openalex.org/I25846049"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Shang-Hong Lai","raw_affiliation_strings":["Department of Computer Science, National Tsing Hua University, Hsinchu, Taiwan"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, National Tsing Hua University, Hsinchu, Taiwan","institution_ids":["https://openalex.org/I25846049"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034807169","display_name":"Tung-Ying Lee","orcid":null},"institutions":[{"id":"https://openalex.org/I25846049","display_name":"National Tsing Hua University","ror":"https://ror.org/00zdnkx70","country_code":"TW","type":"education","lineage":["https://openalex.org/I25846049"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Tung-Ying Lee","raw_affiliation_strings":["Department of Computer Science, National Tsing Hua University, Hsinchu, Taiwan"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, National Tsing Hua University, Hsinchu, Taiwan","institution_ids":["https://openalex.org/I25846049"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100738422"],"corresponding_institution_ids":["https://openalex.org/I25846049","https://openalex.org/I4210137693"],"apc_list":null,"apc_paid":null,"fwci":0.8353,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.75704694,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"21","issue":null,"first_page":"400","last_page":"407"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9998999834060669,"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/T10719","display_name":"3D Shape Modeling and Analysis","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":0.9993000030517578,"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/T14339","display_name":"Image Processing and 3D Reconstruction","score":0.9987999796867371,"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/belief-propagation","display_name":"Belief propagation","score":0.8698132038116455},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.6365269422531128},{"id":"https://openalex.org/keywords/orientation","display_name":"Orientation (vector space)","score":0.5938137769699097},{"id":"https://openalex.org/keywords/point-cloud","display_name":"Point cloud","score":0.5896833539009094},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5447732210159302},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5351843237876892},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.48727643489837646},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.47700929641723633},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.47655418515205383},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.44916895031929016},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.44572556018829346},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3579269051551819},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32326263189315796},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.25942546129226685},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09809651970863342}],"concepts":[{"id":"https://openalex.org/C152948882","wikidata":"https://www.wikidata.org/wiki/Q4060686","display_name":"Belief propagation","level":3,"score":0.8698132038116455},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.6365269422531128},{"id":"https://openalex.org/C16345878","wikidata":"https://www.wikidata.org/wiki/Q107472979","display_name":"Orientation (vector space)","level":2,"score":0.5938137769699097},{"id":"https://openalex.org/C131979681","wikidata":"https://www.wikidata.org/wiki/Q1899648","display_name":"Point cloud","level":2,"score":0.5896833539009094},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5447732210159302},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5351843237876892},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.48727643489837646},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.47700929641723633},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.47655418515205383},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.44916895031929016},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44572556018829346},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3579269051551819},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32326263189315796},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.25942546129226685},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09809651970863342},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/3dim.2007.27","is_oa":false,"landing_page_url":"https://doi.org/10.1109/3dim.2007.27","pdf_url":null,"source":{"id":"https://openalex.org/S4210179741","display_name":"Proceedings","issn_l":"1550-6185","issn":["1550-6185"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Sixth International Conference on 3-D Digital Imaging and Modeling (3DIM 2007)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.6299999952316284}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321040","display_name":"National Science Council","ror":"https://ror.org/02kv4zf79"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W1661064697","https://openalex.org/W1921858121","https://openalex.org/W1977758817","https://openalex.org/W2009422376","https://openalex.org/W2058524213","https://openalex.org/W2061010610","https://openalex.org/W2095684756","https://openalex.org/W2097523702","https://openalex.org/W2098387242","https://openalex.org/W2099953968","https://openalex.org/W2100196192","https://openalex.org/W2100816864","https://openalex.org/W2101309634","https://openalex.org/W2103648137","https://openalex.org/W2117383120","https://openalex.org/W2128012088","https://openalex.org/W2146968309","https://openalex.org/W2147169375","https://openalex.org/W2147901574","https://openalex.org/W2149659501","https://openalex.org/W2149860324","https://openalex.org/W2149887512","https://openalex.org/W2150712551","https://openalex.org/W2154097358","https://openalex.org/W2156849739","https://openalex.org/W2159080219","https://openalex.org/W2163934434","https://openalex.org/W2169990827","https://openalex.org/W2170167721","https://openalex.org/W2244686166","https://openalex.org/W3146210588","https://openalex.org/W3150224893","https://openalex.org/W4229991028","https://openalex.org/W4238247487","https://openalex.org/W4246759387","https://openalex.org/W6677433373","https://openalex.org/W6683608245"],"related_works":["https://openalex.org/W2963817320","https://openalex.org/W4307680413","https://openalex.org/W2377432969","https://openalex.org/W2396038226","https://openalex.org/W2109489568","https://openalex.org/W1923998589","https://openalex.org/W2949726649","https://openalex.org/W4389574804","https://openalex.org/W3016928466","https://openalex.org/W4226280974"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,121],"present":[4],"a":[5,26,74,147],"new":[6],"algorithm":[7,23,162],"to":[8,48,56,150],"reconstruct":[9],"3D":[10,170],"surfaces":[11],"from":[12],"an":[13,99,108,124],"unorganized":[14],"point":[15],"cloud":[16],"based":[17],"on":[18,167],"generalizing":[19],"the":[20,50,58,66,69,85,105,115,119,130,144,152,157,160],"MPU":[21],"implicit":[22],"through":[24],"introducing":[25],"powerful":[27],"orientation":[28,37,72,131],"inference":[29,139],"scheme":[30],"via":[31],"Belief":[32],"Propagation.":[33],"Instead":[34],"of":[35,60,68,94,127,132,159],"using":[36],"information":[38],"like":[39],"surface":[40,52],"normals,":[41],"local":[42,51,61,86,134,138],"data":[43,171],"distribution":[44],"analysis":[45],"is":[46,101,110,141],"performed":[47],"identify":[49],"property":[53],"so":[54],"as":[55,73,89],"guide":[57],"selection":[59],"fitting":[62],"models.":[63],"We":[64,155],"formulate":[65],"determination":[67],"globally":[70],"consistent":[71],"graph":[75],"optimization":[76],"problem.":[77],"Local":[78],"belief":[79],"networks":[80],"are":[81],"constructed":[82],"by":[83,98,103,163],"treating":[84],"shape":[87,135],"functions":[88,106],"their":[90],"nodes.":[91],"The":[92,137],"consistency":[93],"adjacent":[95],"nodes":[96],"linked":[97],"edge":[100],"checked":[102],"evaluating":[104],"and":[107],"energy":[109,117],"thus":[111],"defined.":[112],"By":[113],"minimizing":[114],"total":[116],"over":[118,143],"graph,":[120],"can":[122],"obtain":[123,151],"optimal":[125],"assignment":[126],"labels":[128],"indicating":[129],"each":[133],"function.":[136],"result":[140],"propagated":[142],"model":[145],"in":[146],"front-propagation":[148],"fashion":[149],"global":[153],"solution.":[154],"demonstrate":[156],"performance":[158],"proposed":[161],"showing":[164],"experimental":[165],"results":[166],"some":[168],"real-world":[169],"sets.":[172]},"counts_by_year":[{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}