{"id":"https://openalex.org/W2110567101","doi":"https://doi.org/10.1109/iccv.2011.6126457","title":"Multiscale, curvature-based shape representation for surfaces","display_name":"Multiscale, curvature-based shape representation for surfaces","publication_year":2011,"publication_date":"2011-11-01","ids":{"openalex":"https://openalex.org/W2110567101","doi":"https://doi.org/10.1109/iccv.2011.6126457","mag":"2110567101"},"language":"en","primary_location":{"id":"doi:10.1109/iccv.2011.6126457","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iccv.2011.6126457","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 International Conference on Computer Vision","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/A5109954173","display_name":"Ruirui Jiang","orcid":null},"institutions":[{"id":"https://openalex.org/I59553526","display_name":"Stony Brook University","ror":"https://ror.org/05qghxh33","country_code":"US","type":"education","lineage":["https://openalex.org/I59553526"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ruirui Jiang","raw_affiliation_strings":["Computer Science Department, Stony Brook University, USA","Computer Science Department, Stony Brook University, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Computer Science Department, Stony Brook University, USA","institution_ids":["https://openalex.org/I59553526"]},{"raw_affiliation_string":"Computer Science Department, Stony Brook University, USA#TAB#","institution_ids":["https://openalex.org/I59553526"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100607707","display_name":"Xianfeng Gu","orcid":"https://orcid.org/0000-0001-8226-5851"},"institutions":[{"id":"https://openalex.org/I59553526","display_name":"Stony Brook University","ror":"https://ror.org/05qghxh33","country_code":"US","type":"education","lineage":["https://openalex.org/I59553526"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xianfeng Gu","raw_affiliation_strings":["Computer Science Department, Stony Brook University, USA","Computer Science Department, Stony Brook University, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Computer Science Department, Stony Brook University, USA","institution_ids":["https://openalex.org/I59553526"]},{"raw_affiliation_string":"Computer Science Department, Stony Brook University, USA#TAB#","institution_ids":["https://openalex.org/I59553526"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5109954173"],"corresponding_institution_ids":["https://openalex.org/I59553526"],"apc_list":null,"apc_paid":null,"fwci":1.7226,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.84434407,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"1887","last_page":"1894"},"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/T14339","display_name":"Image Processing and 3D Reconstruction","score":0.9958000183105469,"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"}},{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.992900013923645,"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/curvature","display_name":"Curvature","score":0.7715798616409302},{"id":"https://openalex.org/keywords/gaussian-curvature","display_name":"Gaussian curvature","score":0.7342371344566345},{"id":"https://openalex.org/keywords/ricci-flow","display_name":"Ricci flow","score":0.6007113456726074},{"id":"https://openalex.org/keywords/heat-kernel-signature","display_name":"Heat kernel signature","score":0.5967289805412292},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5664883852005005},{"id":"https://openalex.org/keywords/principal-curvature","display_name":"Principal curvature","score":0.4828777611255646},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.47994688153266907},{"id":"https://openalex.org/keywords/constant-curvature","display_name":"Constant curvature","score":0.464851975440979},{"id":"https://openalex.org/keywords/scalar-curvature","display_name":"Scalar curvature","score":0.46159884333610535},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.45186924934387207},{"id":"https://openalex.org/keywords/mean-curvature","display_name":"Mean curvature","score":0.44511377811431885},{"id":"https://openalex.org/keywords/shape-analysis","display_name":"Shape analysis (program analysis)","score":0.43678486347198486},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.4345459043979645},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4170563220977783},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.4046528935432434},{"id":"https://openalex.org/keywords/active-shape-model","display_name":"Active shape model","score":0.20709428191184998},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1721169352531433},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1665416955947876}],"concepts":[{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.7715798616409302},{"id":"https://openalex.org/C16140857","wikidata":"https://www.wikidata.org/wiki/Q945953","display_name":"Gaussian curvature","level":3,"score":0.7342371344566345},{"id":"https://openalex.org/C148729565","wikidata":"https://www.wikidata.org/wiki/Q1361396","display_name":"Ricci flow","level":4,"score":0.6007113456726074},{"id":"https://openalex.org/C45089102","wikidata":"https://www.wikidata.org/wiki/Q5693286","display_name":"Heat kernel signature","level":4,"score":0.5967289805412292},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5664883852005005},{"id":"https://openalex.org/C16977076","wikidata":"https://www.wikidata.org/wiki/Q1589551","display_name":"Principal curvature","level":4,"score":0.4828777611255646},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.47994688153266907},{"id":"https://openalex.org/C2779668893","wikidata":"https://www.wikidata.org/wiki/Q2250422","display_name":"Constant curvature","level":3,"score":0.464851975440979},{"id":"https://openalex.org/C12520029","wikidata":"https://www.wikidata.org/wiki/Q1147161","display_name":"Scalar curvature","level":3,"score":0.46159884333610535},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.45186924934387207},{"id":"https://openalex.org/C175017881","wikidata":"https://www.wikidata.org/wiki/Q1318998","display_name":"Mean curvature","level":3,"score":0.44511377811431885},{"id":"https://openalex.org/C112604564","wikidata":"https://www.wikidata.org/wiki/Q7489226","display_name":"Shape analysis (program analysis)","level":3,"score":0.43678486347198486},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.4345459043979645},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4170563220977783},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.4046528935432434},{"id":"https://openalex.org/C129641003","wikidata":"https://www.wikidata.org/wiki/Q267189","display_name":"Active shape model","level":3,"score":0.20709428191184998},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1721169352531433},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1665416955947876},{"id":"https://openalex.org/C97686452","wikidata":"https://www.wikidata.org/wiki/Q7604153","display_name":"Static analysis","level":2,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C89600930","wikidata":"https://www.wikidata.org/wiki/Q1423946","display_name":"Segmentation","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/iccv.2011.6126457","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iccv.2011.6126457","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 International Conference on Computer Vision","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.5899999737739563,"id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":51,"referenced_works":["https://openalex.org/W194536078","https://openalex.org/W199717505","https://openalex.org/W653843803","https://openalex.org/W1501247794","https://openalex.org/W1512443773","https://openalex.org/W1526694294","https://openalex.org/W1530161281","https://openalex.org/W1533366856","https://openalex.org/W1543220894","https://openalex.org/W1564871316","https://openalex.org/W1565212980","https://openalex.org/W1573585079","https://openalex.org/W1574024211","https://openalex.org/W1717953876","https://openalex.org/W1983633249","https://openalex.org/W1985222241","https://openalex.org/W1985415289","https://openalex.org/W2007206727","https://openalex.org/W2012515212","https://openalex.org/W2027548828","https://openalex.org/W2028212485","https://openalex.org/W2036163530","https://openalex.org/W2046267209","https://openalex.org/W2072738093","https://openalex.org/W2075597533","https://openalex.org/W2083517234","https://openalex.org/W2094997686","https://openalex.org/W2095444191","https://openalex.org/W2099789128","https://openalex.org/W2100607348","https://openalex.org/W2105594297","https://openalex.org/W2105724141","https://openalex.org/W2107232801","https://openalex.org/W2108718184","https://openalex.org/W2130595631","https://openalex.org/W2143075606","https://openalex.org/W2147140280","https://openalex.org/W2153451832","https://openalex.org/W2162149523","https://openalex.org/W2164842737","https://openalex.org/W2166164984","https://openalex.org/W2169113723","https://openalex.org/W2169937647","https://openalex.org/W2295332248","https://openalex.org/W3138701353","https://openalex.org/W4249279429","https://openalex.org/W4253970038","https://openalex.org/W6630796002","https://openalex.org/W6634014874","https://openalex.org/W6675213996","https://openalex.org/W6675428336"],"related_works":["https://openalex.org/W9778424","https://openalex.org/W1577418607","https://openalex.org/W4361019495","https://openalex.org/W2029956920","https://openalex.org/W3175832648","https://openalex.org/W2796685727","https://openalex.org/W4319994258","https://openalex.org/W4386905527","https://openalex.org/W2003067321","https://openalex.org/W2543627858"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,39,75,83,109],"multiscale,":[4],"curvature-based":[5],"shape":[6,48,103],"representation":[7],"technique":[8],"for":[9,50],"general":[10,24],"genus":[11],"zero":[12,93],"closed":[13],"surfaces.":[14],"The":[15,36,90],"method":[16,37],"is":[17,28,38,62,99],"invariant":[18],"under":[19,64],"rotation,":[20],"translation,":[21],"scaling,":[22],"or":[23],"isometric":[25],"deformations;":[26],"it":[27],"robust":[29],"to":[30,74],"noise":[31],"and":[32,120],"preserves":[33],"intrinsic":[34],"symmetry.":[35],"direct":[40],"generalization":[41],"of":[42,59,92,122],"the":[43,56,60,69,80,97,102,118,123],"Curvature":[44],"Scale":[45],"Space":[46],"(CSS)":[47],"descriptor":[49],"planar":[51],"curves.":[52],"In":[53],"our":[54],"method,":[55],"Riemannian":[57],"metric":[58],"surface":[61,81,98],"deformed":[63],"Ricci":[65],"flow,":[66],"such":[67],"that":[68],"Gaussian":[70],"curvature":[71,88,94],"evolves":[72],"according":[73],"heat":[76],"diffusion":[77],"process.":[78],"Eventually":[79],"becomes":[82],"sphere":[84],"with":[85,113],"constant":[86],"positive":[87],"everywhere.":[89],"evolution":[91],"curves":[95],"on":[96,108],"utilized":[100],"as":[101],"descriptor.":[104],"Our":[105],"experimental":[106],"results":[107],"3D":[110],"geometric":[111],"database":[112],"about":[114],"80":[115],"shapes":[116],"demonstrate":[117],"efficiency":[119],"efficacy":[121],"method.":[124]},"counts_by_year":[{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
