{"id":"https://openalex.org/W7134902241","doi":"https://doi.org/10.48550/arxiv.2603.09925","title":"On the Structural Failure of Chamfer Distance in 3D Shape Optimization","display_name":"On the Structural Failure of Chamfer Distance in 3D Shape Optimization","publication_year":2026,"publication_date":"2026-03-10","ids":{"openalex":"https://openalex.org/W7134902241","doi":"https://doi.org/10.48550/arxiv.2603.09925"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2603.09925","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.09925","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2603.09925","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5128780756","display_name":"Chang-Yong Song","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Song, Chang-Yong","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5040432863","display_name":"David Hyde","orcid":"https://orcid.org/0009-0004-4950-5533"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hyde, David","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"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":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11115","display_name":"Topology Optimization in Engineering","score":0.5354999899864197,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"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/T11115","display_name":"Topology Optimization in Engineering","score":0.5354999899864197,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.33329999446868896,"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":0.029500000178813934,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/chamfer","display_name":"Chamfer (geometry)","score":0.975600004196167},{"id":"https://openalex.org/keywords/deformation","display_name":"Deformation (meteorology)","score":0.5105999708175659},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.5091999769210815},{"id":"https://openalex.org/keywords/pipeline","display_name":"Pipeline (software)","score":0.49070000648498535},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.4884999990463257},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.453000009059906},{"id":"https://openalex.org/keywords/shape-optimization","display_name":"Shape optimization","score":0.3935000002384186},{"id":"https://openalex.org/keywords/point-cloud","display_name":"Point cloud","score":0.3928000032901764}],"concepts":[{"id":"https://openalex.org/C2776313386","wikidata":"https://www.wikidata.org/wiki/Q18018756","display_name":"Chamfer (geometry)","level":2,"score":0.975600004196167},{"id":"https://openalex.org/C204366326","wikidata":"https://www.wikidata.org/wiki/Q3027650","display_name":"Deformation (meteorology)","level":2,"score":0.5105999708175659},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5091999769210815},{"id":"https://openalex.org/C43521106","wikidata":"https://www.wikidata.org/wiki/Q2165493","display_name":"Pipeline (software)","level":2,"score":0.49070000648498535},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4887000024318695},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.4884999990463257},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.453000009059906},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4097999930381775},{"id":"https://openalex.org/C29513896","wikidata":"https://www.wikidata.org/wiki/Q7489239","display_name":"Shape optimization","level":3,"score":0.3935000002384186},{"id":"https://openalex.org/C131979681","wikidata":"https://www.wikidata.org/wiki/Q1899648","display_name":"Point cloud","level":2,"score":0.3928000032901764},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3483999967575073},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.34540000557899475},{"id":"https://openalex.org/C107551265","wikidata":"https://www.wikidata.org/wiki/Q1458245","display_name":"Displacement (psychology)","level":2,"score":0.33469998836517334},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.31220000982284546},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3093000054359436},{"id":"https://openalex.org/C7305733","wikidata":"https://www.wikidata.org/wiki/Q207961","display_name":"Geometric shape","level":2,"score":0.2953999936580658},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.2881999909877777},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.27799999713897705},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.27730000019073486},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.2732999920845032},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.27300000190734863},{"id":"https://openalex.org/C112604564","wikidata":"https://www.wikidata.org/wiki/Q7489226","display_name":"Shape analysis (program analysis)","level":3,"score":0.2685999870300293},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2669000029563904}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2603.09925","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.09925","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2603.09925","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.09925","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[{"score":0.7440739870071411,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Chamfer":[0,21,39,110,134],"distance":[1,151],"is":[2,35,46],"the":[3,47,51,104,109,121],"standard":[4],"training":[5],"loss":[6],"for":[7,73,145],"point":[8],"cloud":[9],"reconstruction,":[10],"completion,":[11],"and":[12,54,65],"generation,":[13],"yet":[14],"directly":[15],"optimizing":[16,25],"it":[17,26],"can":[18],"produce":[19],"worse":[20],"values":[22],"than":[23],"not":[24],"at":[27],"all.":[28],"We":[29,68],"show":[30],"that":[31,45,148],"this":[32],"paradoxical":[33],"failure":[34],"gradient-structural.":[36],"The":[37,125],"per-point":[38],"gradient":[40],"creates":[41],"a":[42,70,83,99,117,141],"many-to-one":[43],"collapse":[44,74,90],"unique":[48],"attractor":[49],"of":[50,129],"forward":[52],"term":[53],"cannot":[55],"be":[56],"resolved":[57],"by":[58,91],"any":[59,146],"local":[60,80],"regularizer,":[61],"including":[62],"repulsion,":[63],"smoothness,":[64],"density-aware":[66],"re-weighting.":[67],"derive":[69],"necessary":[71],"condition":[72],"suppression:":[75],"coupling":[76,131],"must":[77],"propagate":[78],"beyond":[79],"neighborhoods.":[81],"In":[82],"controlled":[84],"2D":[85],"setting,":[86],"shared-basis":[87],"deformation":[88],"suppresses":[89],"providing":[92],"global":[93],"coupling;":[94],"in":[95],"3D":[96],"shape":[97],"morphing,":[98],"differentiable":[100],"MPM":[101],"prior":[102],"instantiates":[103],"same":[105],"principle,":[106],"consistently":[107],"reducing":[108],"gap":[111],"across":[112],"20":[113],"directed":[114],"pairs":[115],"with":[116],"2.5$\\times$":[118],"improvement":[119],"on":[120],"topologically":[122],"complex":[123],"dragon.":[124],"presence":[126],"or":[127,137],"absence":[128],"non-local":[130],"determines":[132],"whether":[133],"optimization":[135],"succeeds":[136],"collapses.":[138],"This":[139],"provides":[140],"practical":[142],"design":[143],"criterion":[144],"pipeline":[147],"optimizes":[149],"point-level":[150],"metrics.":[152]},"counts_by_year":[],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2026-03-12T00:00:00"}