{"id":"https://openalex.org/W7169204080","doi":"https://doi.org/10.1145/3799902.3811051","title":"Fast Cutting of Cage Based Deformation with Walk on Spheres","display_name":"Fast Cutting of Cage Based Deformation with Walk on Spheres","publication_year":2026,"publication_date":"2026-07-16","ids":{"openalex":"https://openalex.org/W7169204080","doi":"https://doi.org/10.1145/3799902.3811051"},"language":null,"primary_location":{"id":"doi:10.1145/3799902.3811051","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3799902.3811051","pdf_url":null,"source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Special Interest Group on Computer Graphics and Interactive Techniques Conference Conference Papers","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1145/3799902.3811051","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5140994186","display_name":"Hossam Saeed","orcid":"https://orcid.org/0009-0004-6414-5265"},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Hossam Saeed","raw_affiliation_strings":["McGill University, Montr\u00e9al, Canada"],"raw_orcid":"https://orcid.org/0009-0004-6414-5265","affiliations":[{"raw_affiliation_string":"McGill University, Montr\u00e9al, Canada","institution_ids":["https://openalex.org/I5023651"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5140979450","display_name":"Michael Lambiri","orcid":"https://orcid.org/0009-0001-1057-1654"},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Michael Lambiri","raw_affiliation_strings":["McGill University, Montr\u00e9al, Canada"],"raw_orcid":"https://orcid.org/0009-0001-1057-1654","affiliations":[{"raw_affiliation_string":"McGill University, Montr\u00e9al, Canada","institution_ids":["https://openalex.org/I5023651"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008550029","display_name":"Teseo Schneider","orcid":"https://orcid.org/0000-0002-5969-636X"},"institutions":[{"id":"https://openalex.org/I212119943","display_name":"University of Victoria","ror":"https://ror.org/04s5mat29","country_code":"CA","type":"education","lineage":["https://openalex.org/I212119943"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Teseo Schneider","raw_affiliation_strings":["University of Victoria, Victoria BC, Canada"],"raw_orcid":"https://orcid.org/0000-0002-5969-636X","affiliations":[{"raw_affiliation_string":"University of Victoria, Victoria BC, Canada","institution_ids":["https://openalex.org/I212119943"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053824527","display_name":"Derek Nowrouzezahrai","orcid":"https://orcid.org/0000-0002-4279-1774"},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Derek Nowrouzezahrai","raw_affiliation_strings":["McGill University, Montr\u00e9al, Canada"],"raw_orcid":"https://orcid.org/0000-0002-4279-1774","affiliations":[{"raw_affiliation_string":"McGill University, Montr\u00e9al, Canada","institution_ids":["https://openalex.org/I5023651"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060542558","display_name":"Paul G. Kry","orcid":"https://orcid.org/0000-0003-4176-6857"},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Paul G. Kry","raw_affiliation_strings":["McGill University, Montr\u00e9al, Canada"],"raw_orcid":"https://orcid.org/0000-0003-4176-6857","affiliations":[{"raw_affiliation_string":"McGill University, Montr\u00e9al, Canada","institution_ids":["https://openalex.org/I5023651"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"10"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":null,"topics":[],"keywords":[{"id":"https://openalex.org/keywords/spheres","display_name":"SPHERES","score":0.677299976348877},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6437000036239624},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.5533000230789185},{"id":"https://openalex.org/keywords/reuse","display_name":"Reuse","score":0.5245000123977661},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.45820000767707825},{"id":"https://openalex.org/keywords/pipeline","display_name":"Pipeline (software)","score":0.4496000111103058},{"id":"https://openalex.org/keywords/harmonic","display_name":"Harmonic","score":0.4011000096797943},{"id":"https://openalex.org/keywords/deformation","display_name":"Deformation (meteorology)","score":0.38109999895095825}],"concepts":[{"id":"https://openalex.org/C72422203","wikidata":"https://www.wikidata.org/wiki/Q7392545","display_name":"SPHERES","level":2,"score":0.677299976348877},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6437000036239624},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.5533000230789185},{"id":"https://openalex.org/C206588197","wikidata":"https://www.wikidata.org/wiki/Q846574","display_name":"Reuse","level":2,"score":0.5245000123977661},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5101000070571899},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.45820000767707825},{"id":"https://openalex.org/C43521106","wikidata":"https://www.wikidata.org/wiki/Q2165493","display_name":"Pipeline (software)","level":2,"score":0.4496000111103058},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42739999294281006},{"id":"https://openalex.org/C127934551","wikidata":"https://www.wikidata.org/wiki/Q1148098","display_name":"Harmonic","level":2,"score":0.4011000096797943},{"id":"https://openalex.org/C204366326","wikidata":"https://www.wikidata.org/wiki/Q3027650","display_name":"Deformation (meteorology)","level":2,"score":0.38109999895095825},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3799000084400177},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.3779999911785126},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.3628000020980835},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.36090001463890076},{"id":"https://openalex.org/C149629883","wikidata":"https://www.wikidata.org/wiki/Q660926","display_name":"Fraction (chemistry)","level":2,"score":0.3352000117301941},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3285999894142151},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3276999890804291},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2992999851703644},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.2727000117301941},{"id":"https://openalex.org/C2991656669","wikidata":"https://www.wikidata.org/wiki/Q677864","display_name":"Harmonic potential","level":2,"score":0.2669999897480011},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.259799987077713},{"id":"https://openalex.org/C115178988","wikidata":"https://www.wikidata.org/wiki/Q772067","display_name":"Laplacian matrix","level":3,"score":0.25780001282691956}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3799902.3811051","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3799902.3811051","pdf_url":null,"source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Special Interest Group on Computer Graphics and Interactive Techniques Conference Conference Papers","raw_type":"proceedings-article"}],"best_oa_location":{"id":"doi:10.1145/3799902.3811051","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3799902.3811051","pdf_url":null,"source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Special Interest Group on Computer Graphics and Interactive Techniques Conference Conference Papers","raw_type":"proceedings-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1941825079","https://openalex.org/W2006533898","https://openalex.org/W2059958340","https://openalex.org/W2061987443","https://openalex.org/W2126539456","https://openalex.org/W2143146052","https://openalex.org/W2235901111","https://openalex.org/W2737067326","https://openalex.org/W2806465188","https://openalex.org/W3002609743","https://openalex.org/W3048432586","https://openalex.org/W3136375062","https://openalex.org/W4233370650","https://openalex.org/W4252761369","https://openalex.org/W4283018751","https://openalex.org/W4388072853","https://openalex.org/W4389575012","https://openalex.org/W4398230657","https://openalex.org/W4400819903","https://openalex.org/W4412596319","https://openalex.org/W7084593935"],"related_works":[],"abstract_inverted_index":{"While":[0],"cages":[1,15],"provide":[2],"a":[3,18,35,47,51,69,80,134,141],"powerful":[4],"reduction":[5],"model":[6],"to":[7,73,79,102,133,158],"simulate":[8],"elastic":[9],"deformations,":[10],"interactive":[11,146],"real-time":[12],"cutting":[13,147],"of":[14,54,106,124,145],"has":[16],"been":[17],"longstanding":[19],"challenge.":[20],"Traditional":[21],"solvers":[22],"require":[23],"costly":[24],"volumetric":[25],"re-meshing":[26],"and":[27,93,111,151,154],"global":[28],"matrix":[29],"updates":[30,105],"after":[31],"each":[32],"modification.":[33,82],"For":[34],"mesh-free":[36,94],"harmonic":[37,107],"weight":[38,137],"computation":[39],"using":[40],"walk":[41,86],"on":[42,87,148],"spheres":[43,88],"(WoS),":[44],"we":[45,115],"make":[46],"key":[48],"observation:":[49],"only":[50,76],"small":[52],"fraction":[53],"walks":[55],"(5-10%)":[56],"is":[57,155],"invalidated":[58],"by":[59],"the":[60],"local":[61,160],"cut":[62],"in":[63],"most":[64],"practical":[65],"cases.":[66],"We":[67],"propose":[68],"novel":[70],"reuse":[71],"pipeline":[72],"efficiently":[74],"update":[75],"weights":[77],"subject":[78],"topological":[81],"Our":[83,120],"approach":[84],"leverages":[85],"as":[89],"an":[90],"output":[91],"sensitive":[92],"Monte":[95],"Carlo":[96],"method":[97,121],"for":[98],"solving":[99],"Laplacian":[100],"equations,":[101],"enable":[103],"localized":[104],"weights.":[108],"By":[109],"identifying":[110],"reusing":[112],"unaffected":[113],"walks,":[114],"minimize":[116],"our":[117],"re-walking":[118],"updates.":[119],"achieves":[122],"speedups":[123],"10":[125],"\u00d7":[126,128],"-40":[127],"while":[129],"being":[130],"statistically":[131],"identical":[132],"complete":[135],"WoS":[136],"recomputation.":[138],"This":[139],"enables":[140],"real":[142],"time":[143],"simulation":[144],"complex":[149],"2D":[150],"3D":[152],"cages,":[153],"easily":[156],"generalizable":[157],"other":[159],"cage":[161],"editing":[162],"operations.":[163]},"counts_by_year":[],"updated_date":"2026-07-17T05:58:32.477365","created_date":"2026-07-17T00:00:00"}
