{"id":"https://openalex.org/W2117068523","doi":"https://doi.org/10.1145/1236246.1236252","title":"Random walks for mesh denoising","display_name":"Random walks for mesh denoising","publication_year":2007,"publication_date":"2007-06-04","ids":{"openalex":"https://openalex.org/W2117068523","doi":"https://doi.org/10.1145/1236246.1236252","mag":"2117068523"},"language":"en","primary_location":{"id":"doi:10.1145/1236246.1236252","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1236246.1236252","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2007 ACM symposium on Solid and physical modeling","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/A5009926242","display_name":"Xianfang Sun","orcid":"https://orcid.org/0000-0002-6114-0766"},"institutions":[{"id":"https://openalex.org/I79510175","display_name":"Cardiff University","ror":"https://ror.org/03kk7td41","country_code":"GB","type":"education","lineage":["https://openalex.org/I79510175"]},{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN","GB"],"is_corresponding":true,"raw_author_name":"Xianfang Sun","raw_affiliation_strings":["Cardiff University, UK and Beihang University, China"],"affiliations":[{"raw_affiliation_string":"Cardiff University, UK and Beihang University, China","institution_ids":["https://openalex.org/I79510175","https://openalex.org/I82880672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068129380","display_name":"Paul L. Rosin","orcid":"https://orcid.org/0000-0002-4965-3884"},"institutions":[{"id":"https://openalex.org/I79510175","display_name":"Cardiff University","ror":"https://ror.org/03kk7td41","country_code":"GB","type":"education","lineage":["https://openalex.org/I79510175"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Paul L. Rosin","raw_affiliation_strings":["Cardiff University, UK"],"affiliations":[{"raw_affiliation_string":"Cardiff University, UK","institution_ids":["https://openalex.org/I79510175"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5106235574","display_name":"Ralph R. Martin","orcid":null},"institutions":[{"id":"https://openalex.org/I79510175","display_name":"Cardiff University","ror":"https://ror.org/03kk7td41","country_code":"GB","type":"education","lineage":["https://openalex.org/I79510175"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Ralph R. Martin","raw_affiliation_strings":["Cardiff University, UK"],"affiliations":[{"raw_affiliation_string":"Cardiff University, UK","institution_ids":["https://openalex.org/I79510175"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071981008","display_name":"Frank C. Langbein","orcid":"https://orcid.org/0000-0002-3379-0323"},"institutions":[{"id":"https://openalex.org/I79510175","display_name":"Cardiff University","ror":"https://ror.org/03kk7td41","country_code":"GB","type":"education","lineage":["https://openalex.org/I79510175"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Frank C. Langbein","raw_affiliation_strings":["Cardiff University, UK"],"affiliations":[{"raw_affiliation_string":"Cardiff University, UK","institution_ids":["https://openalex.org/I79510175"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5009926242"],"corresponding_institution_ids":["https://openalex.org/I79510175","https://openalex.org/I82880672"],"apc_list":null,"apc_paid":null,"fwci":2.5641,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.89112133,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"11","last_page":"22"},"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9986000061035156,"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/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9976999759674072,"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/random-walk","display_name":"Random walk","score":0.6277480125427246},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5749854445457458},{"id":"https://openalex.org/keywords/noise-reduction","display_name":"Noise reduction","score":0.5578095316886902},{"id":"https://openalex.org/keywords/face","display_name":"Face (sociological concept)","score":0.5209980607032776},{"id":"https://openalex.org/keywords/laplacian-smoothing","display_name":"Laplacian smoothing","score":0.5183190107345581},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5152981281280518},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.4874579906463623},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48135071992874146},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45641735196113586},{"id":"https://openalex.org/keywords/position","display_name":"Position (finance)","score":0.4202912151813507},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.4113600254058838},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3973616361618042},{"id":"https://openalex.org/keywords/mesh-generation","display_name":"Mesh generation","score":0.1988086700439453},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.17985528707504272},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.11606907844543457},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.09469631314277649},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.0904894769191742}],"concepts":[{"id":"https://openalex.org/C121194460","wikidata":"https://www.wikidata.org/wiki/Q856741","display_name":"Random walk","level":2,"score":0.6277480125427246},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5749854445457458},{"id":"https://openalex.org/C163294075","wikidata":"https://www.wikidata.org/wiki/Q581861","display_name":"Noise reduction","level":2,"score":0.5578095316886902},{"id":"https://openalex.org/C2779304628","wikidata":"https://www.wikidata.org/wiki/Q3503480","display_name":"Face (sociological concept)","level":2,"score":0.5209980607032776},{"id":"https://openalex.org/C100695618","wikidata":"https://www.wikidata.org/wiki/Q6488267","display_name":"Laplacian smoothing","level":4,"score":0.5183190107345581},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5152981281280518},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.4874579906463623},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48135071992874146},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45641735196113586},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.4202912151813507},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.4113600254058838},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3973616361618042},{"id":"https://openalex.org/C181145010","wikidata":"https://www.wikidata.org/wiki/Q4418033","display_name":"Mesh generation","level":3,"score":0.1988086700439453},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.17985528707504272},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.11606907844543457},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.09469631314277649},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0904894769191742},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C36289849","wikidata":"https://www.wikidata.org/wiki/Q34749","display_name":"Social science","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1145/1236246.1236252","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1236246.1236252","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2007 ACM symposium on Solid and physical modeling","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.101.2264","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.101.2264","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.cf.ac.uk/meshfiltering/index_files/Doc/p11-sun.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.67.1454","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.67.1454","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://ralph.cs.cf.ac.uk/papers/Geometry/RandomWalkMeshDenoising.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.705.9646","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.705.9646","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://langbein.org/wp-content/uploads/2008/12/sun2007a.pdf","raw_type":"text"},{"id":"pmh:oai:https://orca.cardiff.ac.uk:5221","is_oa":false,"landing_page_url":"http://portal.acm.org/ft_gateway.cfm?id=1236252&type=pdf&coll=&dl=&CFID=35549193&CFTOKEN=89152004","pdf_url":null,"source":{"id":"https://openalex.org/S7407055383","display_name":"ORCA Online Research @Cardiff","issn_l":null,"issn":null,"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"PeerReviewed"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.7300000190734863}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W77194677","https://openalex.org/W1516432062","https://openalex.org/W1530781020","https://openalex.org/W1585162983","https://openalex.org/W1765090992","https://openalex.org/W1971169262","https://openalex.org/W1974582493","https://openalex.org/W1984713107","https://openalex.org/W1990816220","https://openalex.org/W2000214666","https://openalex.org/W2019032869","https://openalex.org/W2028401795","https://openalex.org/W2038212344","https://openalex.org/W2039639466","https://openalex.org/W2048427115","https://openalex.org/W2079017595","https://openalex.org/W2082295437","https://openalex.org/W2086265313","https://openalex.org/W2096338910","https://openalex.org/W2099996308","https://openalex.org/W2110600113","https://openalex.org/W2114275307","https://openalex.org/W2125637308","https://openalex.org/W2126151059","https://openalex.org/W2143607173","https://openalex.org/W2152904516","https://openalex.org/W2158569910","https://openalex.org/W2159475546","https://openalex.org/W2164903251","https://openalex.org/W2169776045","https://openalex.org/W2171542563","https://openalex.org/W2915054978","https://openalex.org/W2917610449","https://openalex.org/W2998590421","https://openalex.org/W3148091194","https://openalex.org/W4241598686","https://openalex.org/W4242723867","https://openalex.org/W4243945279"],"related_works":["https://openalex.org/W2584759890","https://openalex.org/W1574293595","https://openalex.org/W2623401972","https://openalex.org/W2367996021","https://openalex.org/W1597743604","https://openalex.org/W2038723108","https://openalex.org/W3193268133","https://openalex.org/W1972425431","https://openalex.org/W2094342549","https://openalex.org/W3172294234"],"abstract_inverted_index":{"This":[0],"paper":[1],"considers":[2],"an":[3],"approach":[4,191],"to":[5,103,127],"mesh":[6,85,184,198],"denoising":[7,162,182,199],"based":[8,60],"on":[9,61],"the":[10,36,62,84,111,114,129,133,141,183],"concept":[11],"of":[12,19,52,64,74,83,91,95,132,147,156,168],"random":[13,72,154,171],"walks.":[14],"The":[15,57,93,135],"proposed":[16],"method":[17],"consists":[18],"two":[20,115],"stages:":[21],"a":[22,29,41,55,67,71,75,80,88,96,104,119,169,174],"face":[23,38,82,102,107,116],"normal":[24,45],"filtering":[25,46],"procedure,":[26],"followed":[27],"by":[28,49,110],"vertex":[30,136],"position":[31,137],"updating":[32,138],"procedure":[33,139],"which":[34],"integrates":[35],"denoised":[37],"normals":[39,53],"in":[40,54,173],"least-squares":[42],"sense.":[43],"Face":[44],"is":[47,108,124,192],"performed":[48],"weighted":[50],"averaging":[51],"neighbourhood.":[56],"weights":[58],"are":[59],"probability":[63,94],"arriving":[65],"at":[66,79],"given":[68,81,105],"neighbour":[69],"after":[70],"walk":[73,172],"virtual":[76],"particle":[77,97],"starting":[78],"and":[86,150],"moving":[87],"fixed":[89],"number":[90],"steps.":[92],"stepping":[98],"from":[99],"its":[100],"current":[101],"neighboring":[106],"determined":[109],"angle":[112],"between":[113],"normals,":[117],"using":[118],"Gaussian":[120],"distribution":[121],"whose":[122],"width":[123],"adaptively":[125],"adjusted":[126],"enhance":[128],"feature-preserving":[130,197],"property":[131],"algorithm.":[134],"uses":[140],"conjugate":[142],"gradient":[143],"algorithm":[144],"for":[145],"speed":[146],"convergence.":[148],"Analysis":[149],"experiments":[151],"show":[152],"that":[153,189],"walks":[155],"different":[157],"step":[158],"lengths":[159],"yield":[160],"similar":[161],"results.":[163],"In":[164],"particular,":[165],"iterative":[166],"application":[167],"one-step":[170],"progressive":[175],"manner":[176],"effectively":[177],"preserves":[178],"detailed":[179],"features":[180],"while":[181],"very":[185],"well.":[186],"We":[187],"observe":[188],"this":[190],"faster":[193],"than":[194],"many":[195],"other":[196],"algorithms.":[200]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
