{"id":"https://openalex.org/W7137973739","doi":"https://doi.org/10.1016/j.cam.2026.117569","title":"Introducing the Taubin-Weingarten algorithm to compute second-order geometric descriptors in 3D point clouds","display_name":"Introducing the Taubin-Weingarten algorithm to compute second-order geometric descriptors in 3D point clouds","publication_year":2026,"publication_date":"2026-03-17","ids":{"openalex":"https://openalex.org/W7137973739","doi":"https://doi.org/10.1016/j.cam.2026.117569"},"language":"en","primary_location":{"id":"doi:10.1016/j.cam.2026.117569","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.cam.2026.117569","pdf_url":null,"source":{"id":"https://openalex.org/S165473669","display_name":"Journal of Computational and Applied Mathematics","issn_l":"0377-0427","issn":["0377-0427","1879-1778"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational and Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1016/j.cam.2026.117569","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5120954786","display_name":"Alberto M. Esmor\u00eds","orcid":null},"institutions":[{"id":"https://openalex.org/I200284239","display_name":"Universidade de Santiago de Compostela","ror":"https://ror.org/030eybx10","country_code":"ES","type":"education","lineage":["https://openalex.org/I200284239"]},{"id":"https://openalex.org/I223822909","display_name":"Heidelberg University","ror":"https://ror.org/038t36y30","country_code":"DE","type":"education","lineage":["https://openalex.org/I223822909"]}],"countries":["DE","ES"],"is_corresponding":true,"raw_author_name":"Alberto M. Esmor\u00eds","raw_affiliation_strings":["3DGeo Research Group, Institute of Geography, Heidelberg University, Im Neuenheimer Feld 368, Heidelberg, 69120, Baden-W\u00fcrttemberg, Germany","Departamento de Matem\u00e1ticas & CITMAga, Universidade de Santiago de Compostela, R\u00faa Lope G\u00f3mez de Marzoa, Santiago de Compostela, 15782, A Coru\u00f1a, Spain"],"raw_orcid":"https://orcid.org/0000-0003-4445-7320","affiliations":[{"raw_affiliation_string":"3DGeo Research Group, Institute of Geography, Heidelberg University, Im Neuenheimer Feld 368, Heidelberg, 69120, Baden-W\u00fcrttemberg, Germany","institution_ids":["https://openalex.org/I223822909"]},{"raw_affiliation_string":"Departamento de Matem\u00e1ticas & CITMAga, Universidade de Santiago de Compostela, R\u00faa Lope G\u00f3mez de Marzoa, Santiago de Compostela, 15782, A Coru\u00f1a, Spain","institution_ids":["https://openalex.org/I200284239"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5129699828","display_name":"Xabier Garc\u00eda-Mart\u00ednez","orcid":null},"institutions":[{"id":"https://openalex.org/I200284239","display_name":"Universidade de Santiago de Compostela","ror":"https://ror.org/030eybx10","country_code":"ES","type":"education","lineage":["https://openalex.org/I200284239"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Xabier Garc\u00eda-Mart\u00ednez","raw_affiliation_strings":["Departamento de Matem\u00e1ticas & CITMAga, Universidade de Santiago de Compostela, R\u00faa Lope G\u00f3mez de Marzoa, Santiago de Compostela, 15782, A Coru\u00f1a, Spain"],"raw_orcid":"https://orcid.org/0000-0003-1679-4047","affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas & CITMAga, Universidade de Santiago de Compostela, R\u00faa Lope G\u00f3mez de Marzoa, Santiago de Compostela, 15782, A Coru\u00f1a, Spain","institution_ids":["https://openalex.org/I200284239"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032770294","display_name":"M. Ladra","orcid":"https://orcid.org/0000-0002-0543-4508"},"institutions":[{"id":"https://openalex.org/I200284239","display_name":"Universidade de Santiago de Compostela","ror":"https://ror.org/030eybx10","country_code":"ES","type":"education","lineage":["https://openalex.org/I200284239"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Manuel Ladra","raw_affiliation_strings":["Departamento de Matem\u00e1ticas & CITMAga, Universidade de Santiago de Compostela, R\u00faa Lope G\u00f3mez de Marzoa, Santiago de Compostela, 15782, A Coru\u00f1a, Spain"],"raw_orcid":"https://orcid.org/0000-0002-0543-4508","affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas & CITMAga, Universidade de Santiago de Compostela, R\u00faa Lope G\u00f3mez de Marzoa, Santiago de Compostela, 15782, A Coru\u00f1a, Spain","institution_ids":["https://openalex.org/I200284239"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085436368","display_name":"Jos\u00e9 C. Cabaleiro","orcid":"https://orcid.org/0000-0002-5674-5162"},"institutions":[{"id":"https://openalex.org/I200284239","display_name":"Universidade de Santiago de Compostela","ror":"https://ror.org/030eybx10","country_code":"ES","type":"education","lineage":["https://openalex.org/I200284239"]},{"id":"https://openalex.org/I4210111807","display_name":"Center for Research in Molecular Medicine and Chronic Diseases","ror":"https://ror.org/0280bnq76","country_code":"ES","type":"facility","lineage":["https://openalex.org/I4210111807"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Jos\u00e9 Carlos Cabaleiro","raw_affiliation_strings":["Centro Singular de Investigaci\u00f3n en Tecnolox\u00edas Intelixentes, Universidade de Santiago de Compostela, R\u00faa de Jenaro de la Fuente Dom\u00ednguez, Santiago de Compostela, 15782, A Coru\u00f1a, Spain","Departamento de Electr\u00f3nica e Computaci\u00f3n, Universidade de Santiago de Compostela, R\u00faa Lope G\u00f3mez de Marzoa, Santiago de Compostela, 15782, A Coru\u00f1a, Spain"],"raw_orcid":"https://orcid.org/0000-0002-5674-5162","affiliations":[{"raw_affiliation_string":"Centro Singular de Investigaci\u00f3n en Tecnolox\u00edas Intelixentes, Universidade de Santiago de Compostela, R\u00faa de Jenaro de la Fuente Dom\u00ednguez, Santiago de Compostela, 15782, A Coru\u00f1a, Spain","institution_ids":["https://openalex.org/I200284239","https://openalex.org/I4210111807"]},{"raw_affiliation_string":"Departamento de Electr\u00f3nica e Computaci\u00f3n, Universidade de Santiago de Compostela, R\u00faa Lope G\u00f3mez de Marzoa, Santiago de Compostela, 15782, A Coru\u00f1a, Spain","institution_ids":["https://openalex.org/I200284239"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006709169","display_name":"Francisco F. Rivera","orcid":"https://orcid.org/0000-0002-6728-9350"},"institutions":[{"id":"https://openalex.org/I200284239","display_name":"Universidade de Santiago de Compostela","ror":"https://ror.org/030eybx10","country_code":"ES","type":"education","lineage":["https://openalex.org/I200284239"]},{"id":"https://openalex.org/I4210111807","display_name":"Center for Research in Molecular Medicine and Chronic Diseases","ror":"https://ror.org/0280bnq76","country_code":"ES","type":"facility","lineage":["https://openalex.org/I4210111807"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Francisco Fern\u00e1ndez Rivera","raw_affiliation_strings":["Centro Singular de Investigaci\u00f3n en Tecnolox\u00edas Intelixentes, Universidade de Santiago de Compostela, R\u00faa de Jenaro de la Fuente Dom\u00ednguez, Santiago de Compostela, 15782, A Coru\u00f1a, Spain","Departamento de Electr\u00f3nica e Computaci\u00f3n, Universidade de Santiago de Compostela, R\u00faa Lope G\u00f3mez de Marzoa, Santiago de Compostela, 15782, A Coru\u00f1a, Spain"],"raw_orcid":"https://orcid.org/0000-0002-6728-9350","affiliations":[{"raw_affiliation_string":"Centro Singular de Investigaci\u00f3n en Tecnolox\u00edas Intelixentes, Universidade de Santiago de Compostela, R\u00faa de Jenaro de la Fuente Dom\u00ednguez, Santiago de Compostela, 15782, A Coru\u00f1a, Spain","institution_ids":["https://openalex.org/I200284239","https://openalex.org/I4210111807"]},{"raw_affiliation_string":"Departamento de Electr\u00f3nica e Computaci\u00f3n, Universidade de Santiago de Compostela, R\u00faa Lope G\u00f3mez de Marzoa, Santiago de Compostela, 15782, A Coru\u00f1a, Spain","institution_ids":["https://openalex.org/I200284239"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5120954786"],"corresponding_institution_ids":["https://openalex.org/I200284239","https://openalex.org/I223822909"],"apc_list":{"value":2870,"currency":"USD","value_usd":2870},"apc_paid":{"value":2870,"currency":"USD","value_usd":2870},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.31368156,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"485","issue":null,"first_page":"117569","last_page":"117569"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9355000257492065,"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":0.9355000257492065,"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/T10191","display_name":"Robotics and Sensor-Based Localization","score":0.014800000004470348,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.007300000172108412,"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/point","display_name":"Point (geometry)","score":0.5928999781608582},{"id":"https://openalex.org/keywords/point-cloud","display_name":"Point cloud","score":0.5907999873161316},{"id":"https://openalex.org/keywords/segmentation","display_name":"Segmentation","score":0.5831000208854675},{"id":"https://openalex.org/keywords/speedup","display_name":"Speedup","score":0.5805000066757202},{"id":"https://openalex.org/keywords/object","display_name":"Object (grammar)","score":0.4844000041484833},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.4749000072479248},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.41909998655319214},{"id":"https://openalex.org/keywords/embarrassingly-parallel","display_name":"Embarrassingly parallel","score":0.39419999718666077}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.637499988079071},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5928999781608582},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5916000008583069},{"id":"https://openalex.org/C131979681","wikidata":"https://www.wikidata.org/wiki/Q1899648","display_name":"Point cloud","level":2,"score":0.5907999873161316},{"id":"https://openalex.org/C89600930","wikidata":"https://www.wikidata.org/wiki/Q1423946","display_name":"Segmentation","level":2,"score":0.5831000208854675},{"id":"https://openalex.org/C68339613","wikidata":"https://www.wikidata.org/wiki/Q1549489","display_name":"Speedup","level":2,"score":0.5805000066757202},{"id":"https://openalex.org/C2781238097","wikidata":"https://www.wikidata.org/wiki/Q175026","display_name":"Object (grammar)","level":2,"score":0.4844000041484833},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.4749000072479248},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.41909998655319214},{"id":"https://openalex.org/C126909462","wikidata":"https://www.wikidata.org/wiki/Q5369501","display_name":"Embarrassingly parallel","level":3,"score":0.39419999718666077},{"id":"https://openalex.org/C64876066","wikidata":"https://www.wikidata.org/wiki/Q5141226","display_name":"Cognitive neuroscience of visual object recognition","level":3,"score":0.35670000314712524},{"id":"https://openalex.org/C124504099","wikidata":"https://www.wikidata.org/wiki/Q56933","display_name":"Image segmentation","level":3,"score":0.34470000863075256},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.33410000801086426},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3319999873638153},{"id":"https://openalex.org/C136520226","wikidata":"https://www.wikidata.org/wiki/Q302814","display_name":"Geometric data analysis","level":2,"score":0.32749998569488525},{"id":"https://openalex.org/C3018263672","wikidata":"https://www.wikidata.org/wiki/Q1296251","display_name":"Efficient algorithm","level":2,"score":0.3224000036716461},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.2937000095844269},{"id":"https://openalex.org/C181095308","wikidata":"https://www.wikidata.org/wiki/Q1541599","display_name":"Geometric primitive","level":2,"score":0.275299996137619},{"id":"https://openalex.org/C53533937","wikidata":"https://www.wikidata.org/wiki/Q185020","display_name":"Histogram","level":3,"score":0.26350000500679016},{"id":"https://openalex.org/C29123130","wikidata":"https://www.wikidata.org/wiki/Q874709","display_name":"Computational geometry","level":2,"score":0.2517000138759613}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.cam.2026.117569","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.cam.2026.117569","pdf_url":null,"source":{"id":"https://openalex.org/S165473669","display_name":"Journal of Computational and Applied Mathematics","issn_l":"0377-0427","issn":["0377-0427","1879-1778"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational and Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1016/j.cam.2026.117569","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.cam.2026.117569","pdf_url":null,"source":{"id":"https://openalex.org/S165473669","display_name":"Journal of Computational and Applied Mathematics","issn_l":"0377-0427","issn":["0377-0427","1879-1778"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational and Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320326655","display_name":"Xunta de Galicia","ror":"https://ror.org/0181xnw06"},{"id":"https://openalex.org/F4320335598","display_name":"Agencia Estatal de Investigaci\u00f3n","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1985908905","https://openalex.org/W2003518705","https://openalex.org/W2005423095","https://openalex.org/W2005825070","https://openalex.org/W2042255949","https://openalex.org/W2053154970","https://openalex.org/W2078483536","https://openalex.org/W2087070363","https://openalex.org/W2109553965","https://openalex.org/W2149659501","https://openalex.org/W2165558283","https://openalex.org/W2170505850","https://openalex.org/W2473418274","https://openalex.org/W3183082133","https://openalex.org/W4295296541","https://openalex.org/W4319828682","https://openalex.org/W4384436100","https://openalex.org/W4388186939","https://openalex.org/W4388602223","https://openalex.org/W4388688823","https://openalex.org/W4389671757","https://openalex.org/W4390771619","https://openalex.org/W4392215277","https://openalex.org/W4392662760","https://openalex.org/W4393183790","https://openalex.org/W4393374574","https://openalex.org/W4396602409","https://openalex.org/W4400604654","https://openalex.org/W4400810572","https://openalex.org/W4404200945","https://openalex.org/W4412169089"],"related_works":[],"abstract_inverted_index":{"We":[0],"propose":[1],"the":[2,60,88,110],"Taubin-Weingarten":[3,111],"algorithm":[4,112],"to":[5,25,70,87],"compute":[6],"second-order":[7],"geometric":[8],"features":[9],"in":[10,55,84,92,121],"3D":[11,22],"point":[12],"clouds.":[13],"This":[14],"method":[15],"is":[16,37,113],"well-suited":[17],"for":[18,41,52],"working":[19],"with":[20,45],"large-scale":[21,102],"datasets":[23],"due":[24],"its":[26],"embarrassingly":[27],"parallel":[28],"nature.":[29],"The":[30,106],"speedup":[31],"of":[32,65,77],"our":[33],"open-source":[34],"C++":[35],"implementation":[36],"systematically":[38],"above":[39],"30":[40],"a":[42,66],"high-performance":[43],"CPU":[44],"32":[46],"cores.":[47],"It":[48],"provides":[49],"reliable":[50],"estimates":[51],"standard":[53,89],"quantifications":[54],"differential":[56],"geometry,":[57],"such":[58,96],"as":[59,97],"Gaussian":[61],"and":[62,81,101,116],"mean":[63],"curvatures":[64],"surface,":[67],"when":[68],"compared":[69,86],"other":[71],"approaches.":[72],"Additionally,":[73],"it":[74],"achieves":[75],"improvements":[76,120],"between":[78],"1.6":[79],"%":[80,83],"10":[82],"F1-score":[85],"first-order":[90],"approach":[91],"point-wise":[93],"classification":[94],"tasks,":[95],"object":[98],"part":[99],"segmentation":[100],"semantic":[103],"scene":[104],"segmentation.":[105],"results":[107],"demonstrate":[108],"that":[109],"both":[114],"efficient":[115],"robust,":[117],"enabling":[118],"consistent":[119],"machine":[122],"learning":[123],"performance":[124],"across":[125],"various":[126],"tasks.":[127]},"counts_by_year":[],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2026-03-18T00:00:00"}