{"id":"https://openalex.org/W7166727506","doi":"https://doi.org/10.1007/s10851-026-01318-5","title":"Crease-Aware Normal Vectors from Unstructured Point Clouds","display_name":"Crease-Aware Normal Vectors from Unstructured Point Clouds","publication_year":2026,"publication_date":"2026-06-30","ids":{"openalex":"https://openalex.org/W7166727506","doi":"https://doi.org/10.1007/s10851-026-01318-5"},"language":"en","primary_location":{"id":"doi:10.1007/s10851-026-01318-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10851-026-01318-5","pdf_url":null,"source":{"id":"https://openalex.org/S66221708","display_name":"Journal of Mathematical Imaging and Vision","issn_l":"0924-9907","issn":["0924-9907","1573-7683"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"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 Mathematical Imaging and Vision","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1007/s10851-026-01318-5","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5139666686","display_name":"Ho Law","orcid":null},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ho Law","raw_affiliation_strings":["School of Mathematics, Georgia Institute of Technology, Atlanta, GA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Georgia Institute of Technology, Atlanta, GA, USA","institution_ids":["https://openalex.org/I130701444"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077042700","display_name":"Sung Ha Kang","orcid":"https://orcid.org/0000-0002-0312-6595"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sung Ha Kang","raw_affiliation_strings":["School of Mathematics, Georgia Institute of Technology, Atlanta, GA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Georgia Institute of Technology, Atlanta, GA, USA","institution_ids":["https://openalex.org/I130701444"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5139666686"],"corresponding_institution_ids":["https://openalex.org/I130701444"],"apc_list":{"value":2780,"currency":"USD","value_usd":2780},"apc_paid":{"value":2780,"currency":"USD","value_usd":2780},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.79494044,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"68","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9327999949455261,"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":0.9327999949455261,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.013500000350177288,"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":0.011900000274181366,"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-cloud","display_name":"Point cloud","score":0.8375999927520752},{"id":"https://openalex.org/keywords/classification-of-discontinuities","display_name":"Classification of discontinuities","score":0.7045000195503235},{"id":"https://openalex.org/keywords/normal","display_name":"Normal","score":0.6571999788284302},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.5091999769210815},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.49160000681877136},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.47279998660087585},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.4456000030040741},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.39879998564720154}],"concepts":[{"id":"https://openalex.org/C131979681","wikidata":"https://www.wikidata.org/wiki/Q1899648","display_name":"Point cloud","level":2,"score":0.8375999927520752},{"id":"https://openalex.org/C15627037","wikidata":"https://www.wikidata.org/wiki/Q541961","display_name":"Classification of discontinuities","level":2,"score":0.7045000195503235},{"id":"https://openalex.org/C118732077","wikidata":"https://www.wikidata.org/wiki/Q273176","display_name":"Normal","level":3,"score":0.6571999788284302},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5501999855041504},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5228000283241272},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.5091999769210815},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.49160000681877136},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.47279998660087585},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.4456000030040741},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.39879998564720154},{"id":"https://openalex.org/C2778530986","wikidata":"https://www.wikidata.org/wiki/Q5457948","display_name":"Flatness (cosmology)","level":3,"score":0.39739999175071716},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3968999981880188},{"id":"https://openalex.org/C20885615","wikidata":"https://www.wikidata.org/wiki/Q825595","display_name":"Surface reconstruction","level":3,"score":0.3393999934196472},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.33399999141693115},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3167000114917755},{"id":"https://openalex.org/C126795593","wikidata":"https://www.wikidata.org/wiki/Q7333813","display_name":"Rigid transformation","level":2,"score":0.30169999599456787},{"id":"https://openalex.org/C91188154","wikidata":"https://www.wikidata.org/wiki/Q186247","display_name":"Vector field","level":2,"score":0.2994000017642975},{"id":"https://openalex.org/C102205669","wikidata":"https://www.wikidata.org/wiki/Q191690","display_name":"Partition of unity","level":3,"score":0.2930000126361847},{"id":"https://openalex.org/C2779521785","wikidata":"https://www.wikidata.org/wiki/Q5535529","display_name":"Geometry processing","level":3,"score":0.2754000127315521},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.26750001311302185},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.26649999618530273},{"id":"https://openalex.org/C185877587","wikidata":"https://www.wikidata.org/wiki/Q1757407","display_name":"Medial axis","level":2,"score":0.26460000872612},{"id":"https://openalex.org/C71169176","wikidata":"https://www.wikidata.org/wiki/Q7512907","display_name":"Signed distance function","level":2,"score":0.25769999623298645},{"id":"https://openalex.org/C2777042112","wikidata":"https://www.wikidata.org/wiki/Q5281658","display_name":"Discontinuity (linguistics)","level":2,"score":0.2535000145435333}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10851-026-01318-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10851-026-01318-5","pdf_url":null,"source":{"id":"https://openalex.org/S66221708","display_name":"Journal of Mathematical Imaging and Vision","issn_l":"0924-9907","issn":["0924-9907","1573-7683"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"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 Mathematical Imaging and Vision","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s10851-026-01318-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10851-026-01318-5","pdf_url":null,"source":{"id":"https://openalex.org/S66221708","display_name":"Journal of Mathematical Imaging and Vision","issn_l":"0924-9907","issn":["0924-9907","1573-7683"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"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 Mathematical Imaging and Vision","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.7603985667228699}],"awards":[{"id":"https://openalex.org/G4190788199","display_name":null,"funder_award_id":"AWD-007751","funder_id":"https://openalex.org/F4320306164","funder_display_name":"Simons Foundation"}],"funders":[{"id":"https://openalex.org/F4320306164","display_name":"Simons Foundation","ror":"https://ror.org/01cmst727"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W1603257269","https://openalex.org/W1901253971","https://openalex.org/W1984183434","https://openalex.org/W1986465719","https://openalex.org/W1991113069","https://openalex.org/W1992642990","https://openalex.org/W2009262561","https://openalex.org/W2012255853","https://openalex.org/W2015985054","https://openalex.org/W2032166796","https://openalex.org/W2037561790","https://openalex.org/W2049391017","https://openalex.org/W2058524213","https://openalex.org/W2066880755","https://openalex.org/W2075074433","https://openalex.org/W2084595284","https://openalex.org/W2117756735","https://openalex.org/W2123996636","https://openalex.org/W2131723805","https://openalex.org/W2153399947","https://openalex.org/W2165558283","https://openalex.org/W2274549488","https://openalex.org/W2324902717","https://openalex.org/W2901125659","https://openalex.org/W2998115525","https://openalex.org/W3009072206","https://openalex.org/W3049410629","https://openalex.org/W3096366476","https://openalex.org/W3158174180","https://openalex.org/W3199435047","https://openalex.org/W3211330693","https://openalex.org/W4233164274","https://openalex.org/W4238202755","https://openalex.org/W4291317619","https://openalex.org/W4311802545","https://openalex.org/W4376456724","https://openalex.org/W4386326965","https://openalex.org/W4388705129","https://openalex.org/W4400214047","https://openalex.org/W4405492796","https://openalex.org/W4410442495","https://openalex.org/W7117975330"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"We":[1,77,107,124,143],"propose":[2,108],"a":[3,16,53,80,109],"method":[4,110,152],"to":[5,51,65,111,127,163],"estimate":[6],"normal":[7,28,137,181],"vectors":[8,138],"from":[9,166],"noisy":[10,167],"3D":[11],"point":[12,34,170,177],"cloud":[13],"data,":[14],"with":[15],"focus":[17],"on":[18,175],"preserving":[19],"first-order":[20,155],"discontinuities":[21],"of":[22,46,56,87],"the":[23,47,57,66,71,103,113,117,130,135,150],"underlying":[24],"surface.":[25],"The":[26,43],"crease-aware":[27,180],"vector":[29],"(CNV)":[30],"is":[31,50],"computed":[32],"per":[33],"without":[35],"requiring":[36],"any":[37,84],"triangulated":[38],"surface":[39,62,164],"nor":[40],"connectivity":[41],"information.":[42],"main":[44],"idea":[45],"proposed":[48,131,151],"work":[49],"find":[52],"suitable":[54],"subset":[55,132],"neighborhood":[58,114],"which":[59],"gives":[60,153],"denoised":[61],"normals":[63],"close":[64],"true":[67,136],"ones,":[68],"especially":[69],"near":[70,141],"crease,":[72],"e.g.,":[73],"ridges":[74],"and":[75,115,157,168,172],"valleys.":[76],"first":[78],"introduce":[79],"flatness":[81,122],"measure":[82],"for":[83,139],"given":[85],"set":[86],"points":[88,140],"in":[89],"$$\\mathbb":[90],"{R}^{3}$$":[91],"<mml:math":[92],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[93],"<mml:msup>":[94],"<mml:mrow>":[95],"<mml:mi>R</mml:mi>":[96],"</mml:mrow>":[97],"<mml:mn>3</mml:mn>":[98],"</mml:msup>":[99],"</mml:math>":[100],"by":[101],"considering":[102],"local":[104],"principal":[105],"directions.":[106],"partition":[112],"select":[116],"flattest":[118],"one":[119],"through":[120],"our":[121],"measure.":[123],"provide":[125],"analysis":[126],"show":[128],"that":[129,149],"can":[133],"give":[134],"creases.":[142],"present":[144],"various":[145],"numerical":[146],"experiments":[147],"showing":[148],"clearer":[154],"discontinuities,":[156],"we":[158],"further":[159],"showcase":[160],"its":[161],"applications":[162],"reconstruction":[165],"incomplete":[169],"clouds,":[171],"solving":[173],"PDEs":[174],"unstructured":[176],"clouds":[178],"using":[179],"vectors.":[182]},"counts_by_year":[],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2026-07-01T00:00:00"}
