{"id":"https://openalex.org/W4386141925","doi":"https://doi.org/10.1145/3606934","title":"A Unified Analysis of Penalty-Based Collision Energies","display_name":"A Unified Analysis of Penalty-Based Collision Energies","publication_year":2023,"publication_date":"2023-08-16","ids":{"openalex":"https://openalex.org/W4386141925","doi":"https://doi.org/10.1145/3606934"},"language":"en","primary_location":{"id":"doi:10.1145/3606934","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3606934","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3606934","source":{"id":"https://openalex.org/S4210220973","display_name":"Proceedings of the ACM on Computer Graphics and Interactive Techniques","issn_l":"2577-6193","issn":["2577-6193"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"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 ACM on Computer Graphics and Interactive Techniques","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3606934","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Alvin Shi","orcid":"https://orcid.org/0009-0008-0006-6479"},"institutions":[{"id":"https://openalex.org/I32971472","display_name":"Yale University","ror":"https://ror.org/03v76x132","country_code":"US","type":"education","lineage":["https://openalex.org/I32971472"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Alvin Shi","raw_affiliation_strings":["Yale University, New Haven, USA"],"raw_orcid":"https://orcid.org/0009-0008-0006-6479","affiliations":[{"raw_affiliation_string":"Yale University, New Haven, USA","institution_ids":["https://openalex.org/I32971472"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025069371","display_name":"Theodore Kim","orcid":"https://orcid.org/0000-0002-1131-8685"},"institutions":[{"id":"https://openalex.org/I32971472","display_name":"Yale University","ror":"https://ror.org/03v76x132","country_code":"US","type":"education","lineage":["https://openalex.org/I32971472"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Theodore Kim","raw_affiliation_strings":["Yale University, New Haven, USA"],"raw_orcid":"https://orcid.org/0000-0002-1131-8685","affiliations":[{"raw_affiliation_string":"Yale University, New Haven, USA","institution_ids":["https://openalex.org/I32971472"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I32971472"],"apc_list":null,"apc_paid":null,"fwci":0.8744,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.67210097,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"6","issue":"3","first_page":"1","last_page":"19"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11799","display_name":"Adhesion, Friction, and Surface Interactions","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T11799","display_name":"Adhesion, Friction, and Surface Interactions","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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":0.9969000220298767,"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9961000084877014,"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/collision","display_name":"Collision","score":0.6252104043960571},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6107085347175598},{"id":"https://openalex.org/keywords/frame","display_name":"Frame (networking)","score":0.5795760750770569},{"id":"https://openalex.org/keywords/gauss","display_name":"Gauss","score":0.5720612406730652},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5560989379882812},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4632384181022644},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.40905481576919556},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36138632893562317},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.30581191182136536},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1992550492286682},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19196605682373047},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.07548221945762634},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.06859514117240906}],"concepts":[{"id":"https://openalex.org/C121704057","wikidata":"https://www.wikidata.org/wiki/Q352070","display_name":"Collision","level":2,"score":0.6252104043960571},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6107085347175598},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.5795760750770569},{"id":"https://openalex.org/C161794534","wikidata":"https://www.wikidata.org/wiki/Q177493","display_name":"Gauss","level":2,"score":0.5720612406730652},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5560989379882812},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4632384181022644},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40905481576919556},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36138632893562317},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.30581191182136536},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1992550492286682},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19196605682373047},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.07548221945762634},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.06859514117240906},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3606934","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3606934","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3606934","source":{"id":"https://openalex.org/S4210220973","display_name":"Proceedings of the ACM on Computer Graphics and Interactive Techniques","issn_l":"2577-6193","issn":["2577-6193"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"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 ACM on Computer Graphics and Interactive Techniques","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1145/3606934","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3606934","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3606934","source":{"id":"https://openalex.org/S4210220973","display_name":"Proceedings of the ACM on Computer Graphics and Interactive Techniques","issn_l":"2577-6193","issn":["2577-6193"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"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 ACM on Computer Graphics and Interactive Techniques","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4386141925.pdf"},"referenced_works_count":40,"referenced_works":["https://openalex.org/W1568806545","https://openalex.org/W1571678085","https://openalex.org/W1989750992","https://openalex.org/W2002731788","https://openalex.org/W2005092540","https://openalex.org/W2010464263","https://openalex.org/W2011095492","https://openalex.org/W2048955023","https://openalex.org/W2059382954","https://openalex.org/W2082495120","https://openalex.org/W2087366393","https://openalex.org/W2124486569","https://openalex.org/W2141372803","https://openalex.org/W2192608380","https://openalex.org/W2235036220","https://openalex.org/W2295823821","https://openalex.org/W2557050592","https://openalex.org/W2737627651","https://openalex.org/W2739405427","https://openalex.org/W2791693147","https://openalex.org/W2902997149","https://openalex.org/W2915668163","https://openalex.org/W2957722135","https://openalex.org/W3011959988","https://openalex.org/W3048589478","https://openalex.org/W3048889784","https://openalex.org/W3110218730","https://openalex.org/W3111036211","https://openalex.org/W3182862038","https://openalex.org/W3183067110","https://openalex.org/W4210811533","https://openalex.org/W4229525926","https://openalex.org/W4229649975","https://openalex.org/W4240298359","https://openalex.org/W4256610973","https://openalex.org/W4286611167","https://openalex.org/W4286615952","https://openalex.org/W4289522140","https://openalex.org/W4304479853","https://openalex.org/W4311802175"],"related_works":["https://openalex.org/W3113932901","https://openalex.org/W650625605","https://openalex.org/W2358906198","https://openalex.org/W2801025257","https://openalex.org/W1919219501","https://openalex.org/W2027504272","https://openalex.org/W2372181157","https://openalex.org/W2551285827","https://openalex.org/W2347750628","https://openalex.org/W2284435386"],"abstract_inverted_index":{"We":[0],"analyze":[1],"a":[2,16],"wide":[3],"class":[4],"of":[5,15,69,80,87,103],"penalty":[6],"energies":[7],"used":[8,40],"for":[9,76],"contact":[10],"response":[11],"through":[12],"the":[13,67,85,101],"lens":[14],"reduced":[17],"frame.":[18],"Applying":[19],"our":[20,70,88],"analysis":[21,89],"to":[22,41],"both":[23,51],"spring-based":[24],"and":[25,57,94],"barrier-based":[26],"energies,":[27],"we":[28,31,72,83],"show":[29],"that":[30,37],"can":[32,38],"obtain":[33],"closed-form,":[34],"analytic":[35],"eigensystems":[36],"be":[39],"guarantee":[42],"positive":[43],"semidefiniteness":[44],"in":[45],"implicit":[46],"solvers.":[47],"Our":[48],"approach":[49],"is":[50],"faster":[52],"than":[53,60],"direct":[54],"numerical":[55],"methods,":[56],"more":[58],"robust":[59],"approximate":[61],"methods":[62],"such":[63],"as":[64],"Gauss-Newton.":[65],"Over":[66],"course":[68],"analysis,":[71],"investigate":[73],"physical":[74],"interpretations":[75],"two":[77],"separate":[78],"notions":[79],"length.":[81],"Finally,":[82],"showcase":[84],"stability":[86],"on":[90,100],"challenging":[91],"strand,":[92],"cloth,":[93],"volume":[95],"scenarios":[96],"with":[97],"large":[98],"timesteps":[99],"order":[102],"1/40":[104],"s.":[105]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":2}],"updated_date":"2026-05-22T06:13:13.366637","created_date":"2025-10-10T00:00:00"}
