{"id":"https://openalex.org/W4415813947","doi":"https://doi.org/10.3390/sym17111847","title":"Symmetry-Preserving 4D Gaussian Splatting and Mapping for Motion-Aware Dynamic Scene Reconstruction","display_name":"Symmetry-Preserving 4D Gaussian Splatting and Mapping for Motion-Aware Dynamic Scene Reconstruction","publication_year":2025,"publication_date":"2025-11-03","ids":{"openalex":"https://openalex.org/W4415813947","doi":"https://doi.org/10.3390/sym17111847"},"language":"en","primary_location":{"id":"doi:10.3390/sym17111847","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17111847","pdf_url":"https://www.mdpi.com/2073-8994/17/11/1847/pdf?version=1762160942","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/17/11/1847/pdf?version=1762160942","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Rui Zhao","orcid":"https://orcid.org/0009-0007-0105-7075"},"institutions":[{"id":"https://openalex.org/I50760025","display_name":"Hangzhou Dianzi University","ror":"https://ror.org/0576gt767","country_code":"CN","type":"education","lineage":["https://openalex.org/I50760025"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Rui Zhao","raw_affiliation_strings":["School of Automation, Hangzhou Dianzi University, Hangzhou 310018, China"],"raw_orcid":"https://orcid.org/0009-0007-0105-7075","affiliations":[{"raw_affiliation_string":"School of Automation, Hangzhou Dianzi University, Hangzhou 310018, China","institution_ids":["https://openalex.org/I50760025"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100684497","display_name":"Mingrui Li","orcid":"https://orcid.org/0000-0001-8645-8749"},"institutions":[{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Mingrui Li","raw_affiliation_strings":["School of Information and Communication Engineering, Dalian University of Technology, Dalian 116024, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information and Communication Engineering, Dalian University of Technology, Dalian 116024, China","institution_ids":["https://openalex.org/I27357992"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078069878","display_name":"Zunjie Zhu","orcid":"https://orcid.org/0000-0001-6107-4538"},"institutions":[{"id":"https://openalex.org/I50760025","display_name":"Hangzhou Dianzi University","ror":"https://ror.org/0576gt767","country_code":"CN","type":"education","lineage":["https://openalex.org/I50760025"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zunjie Zhu","raw_affiliation_strings":["School of Communication Engineering, Hangzhou Dianzi University, Hangzhou 310018, China"],"raw_orcid":"https://orcid.org/0000-0001-6107-4538","affiliations":[{"raw_affiliation_string":"School of Communication Engineering, Hangzhou Dianzi University, Hangzhou 310018, China","institution_ids":["https://openalex.org/I50760025"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5078069878"],"corresponding_institution_ids":["https://openalex.org/I50760025"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.28772213,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"17","issue":"11","first_page":"1847","last_page":"1847"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10531","display_name":"Advanced Vision and Imaging","score":0.39800000190734863,"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"}},"topics":[{"id":"https://openalex.org/T10531","display_name":"Advanced Vision and Imaging","score":0.39800000190734863,"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"}},{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.22020000219345093,"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":0.13500000536441803,"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/rendering","display_name":"Rendering (computer graphics)","score":0.5874000191688538},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5083000063896179},{"id":"https://openalex.org/keywords/gaussian-process","display_name":"Gaussian process","score":0.43950000405311584},{"id":"https://openalex.org/keywords/exploit","display_name":"Exploit","score":0.33390000462532043},{"id":"https://openalex.org/keywords/gaussian-function","display_name":"Gaussian function","score":0.32440000772476196},{"id":"https://openalex.org/keywords/ground-truth","display_name":"Ground truth","score":0.31139999628067017},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.2930000126361847},{"id":"https://openalex.org/keywords/radial-basis-function","display_name":"Radial basis function","score":0.2818000018596649}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.8269000053405762},{"id":"https://openalex.org/C205711294","wikidata":"https://www.wikidata.org/wiki/Q176953","display_name":"Rendering (computer graphics)","level":2,"score":0.5874000191688538},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.5206999778747559},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5083000063896179},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4986000061035156},{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.43950000405311584},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3783999979496002},{"id":"https://openalex.org/C165696696","wikidata":"https://www.wikidata.org/wiki/Q11287","display_name":"Exploit","level":2,"score":0.33390000462532043},{"id":"https://openalex.org/C7218915","wikidata":"https://www.wikidata.org/wiki/Q1054475","display_name":"Gaussian function","level":3,"score":0.32440000772476196},{"id":"https://openalex.org/C146849305","wikidata":"https://www.wikidata.org/wiki/Q370766","display_name":"Ground truth","level":2,"score":0.31139999628067017},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.2930000126361847},{"id":"https://openalex.org/C98856871","wikidata":"https://www.wikidata.org/wiki/Q1588488","display_name":"Radial basis function","level":3,"score":0.2818000018596649},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.2766999900341034},{"id":"https://openalex.org/C126780896","wikidata":"https://www.wikidata.org/wiki/Q899871","display_name":"Distortion (music)","level":4,"score":0.275299996137619},{"id":"https://openalex.org/C36464697","wikidata":"https://www.wikidata.org/wiki/Q451553","display_name":"Visualization","level":2,"score":0.2711000144481659},{"id":"https://openalex.org/C64185310","wikidata":"https://www.wikidata.org/wiki/Q843483","display_name":"Rate\u2013distortion theory","level":3,"score":0.260699987411499},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.2572000026702881},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.2563999891281128},{"id":"https://openalex.org/C104317376","wikidata":"https://www.wikidata.org/wiki/Q1894545","display_name":"Gaussian blur","level":5,"score":0.25619998574256897},{"id":"https://openalex.org/C74050887","wikidata":"https://www.wikidata.org/wiki/Q848368","display_name":"Rotation (mathematics)","level":2,"score":0.2531999945640564}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3390/sym17111847","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17111847","pdf_url":"https://www.mdpi.com/2073-8994/17/11/1847/pdf?version=1762160942","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.3390/sym17111847","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17111847","pdf_url":"https://www.mdpi.com/2073-8994/17/11/1847/pdf?version=1762160942","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4290934692","display_name":null,"funder_award_id":"62301198","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4415813947.pdf","grobid_xml":"https://content.openalex.org/works/W4415813947.grobid-xml"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W2471962767","https://openalex.org/W2794750270","https://openalex.org/W2964288609","https://openalex.org/W2985812748","https://openalex.org/W3038286218","https://openalex.org/W3048402306","https://openalex.org/W3097788968","https://openalex.org/W3109585842","https://openalex.org/W3131962416","https://openalex.org/W3153220274","https://openalex.org/W4200382072","https://openalex.org/W4205903577","https://openalex.org/W4284879605","https://openalex.org/W4288242633","https://openalex.org/W4313165271","https://openalex.org/W4385318467","https://openalex.org/W4386075614","https://openalex.org/W4386075787","https://openalex.org/W4390874575","https://openalex.org/W4391532640","https://openalex.org/W4399574574","https://openalex.org/W4401418126","https://openalex.org/W4402660132","https://openalex.org/W4402716403","https://openalex.org/W4402727915","https://openalex.org/W4403770187","https://openalex.org/W4407354548","https://openalex.org/W4409333729","https://openalex.org/W4412921364","https://openalex.org/W4413147035","https://openalex.org/W4413917602","https://openalex.org/W4413918024","https://openalex.org/W4413925940","https://openalex.org/W4414393603","https://openalex.org/W4414856510"],"related_works":[],"abstract_inverted_index":{"This":[0,44,66,145,201],"paper":[1],"introduces":[2],"a":[3,159,231],"novel":[4],"and":[5,22,34,53,62,103,126,138,187,237],"efficient":[6],"approach":[7,45,204],"for":[8,18,70],"Gaussian":[9,55,174,199],"Splatting":[10],"in":[11,234],"dynamic":[12,35,54,64,90,104,132,198,211,250],"scenes":[13],"that":[14,31,164,240],"leverages":[15],"symmetry":[16,88,108],"principles":[17],"enhanced":[19],"computational":[20,116,150],"efficiency":[21],"visual":[23,154,235],"fidelity.":[24,155],"First,":[25],"we":[26,110,157],"diverge":[27],"from":[28,85],"conventional":[29],"methods":[30],"process":[32],"static":[33,52,82,102,124],"regions":[36,83,91,125,212],"uniformly":[37],"by":[38,107,224],"implementing":[39],"an":[40],"adaptive":[41],"separation":[42],"mechanism.":[43],"exploits":[46],"the":[47,71,127,166,217],"inherent":[48],"symmetry-breaking":[49,131],"properties":[50],"between":[51],"points,":[56],"utilizing":[57],"motion":[58,195],"differentials":[59],"to":[60,77,244],"identify":[61],"isolate":[63],"elements.":[65],"symmetry-aware":[67],"partitioning":[68,100],"allows":[69],"application":[72],"of":[73,101,115,121,130,169,172,197,210,219],"specialized":[74],"processing":[75,129],"techniques":[76],"each":[78],"region":[79],"type,":[80],"with":[81],"benefiting":[84],"their":[86],"temporal":[87],"while":[89,141],"receive":[92],"targeted":[93],"deformation":[94,161,203],"modeling.":[95],"Second,":[96],"through":[97],"this":[98],"fine-grained":[99],"components":[105],"guided":[106],"analysis,":[109],"achieve":[111],"more":[112],"judicious":[113],"allocation":[114],"resources.":[117],"The":[118,228],"symmetric":[119],"treatment":[120],"spatially":[122],"coherent":[123],"focused":[128],"elements":[133],"substantially":[134],"reduce":[135],"memory":[136],"requirements":[137],"training":[139],"time":[140],"preserving":[142],"reconstruction":[143,209],"quality.":[144],"optimization":[146],"effectively":[147],"conserves":[148],"valuable":[149],"resources":[151],"without":[152],"compromising":[153],"Third,":[156],"introduce":[158],"sophisticated":[160],"modeling":[162],"framework":[163],"learns":[165],"transformational":[167],"characteristics":[168],"grids":[170],"composed":[171],"multiple":[173],"points.":[175,200],"By":[176],"incorporating":[177],"radial":[178],"basis":[179],"function":[180],"principles,":[181],"which":[182],"inherently":[183],"preserve":[184],"local":[185],"rotational":[186],"translational":[188],"symmetries,":[189],"our":[190],"method":[191],"efficiently":[192],"encodes":[193],"complex":[194],"information":[196],"symmetry-preserving":[202],"not":[205],"only":[206],"enables":[207],"high-fidelity":[208],"but":[213],"also":[214],"significantly":[215],"improves":[216],"rendering":[218,238],"continuously":[220],"evolving":[221],"shadow":[222],"interactions":[223],"maintaining":[225],"physical":[226],"consistency.":[227],"result":[229],"is":[230],"marked":[232],"reduction":[233],"distortion":[236],"outputs":[239],"demonstrate":[241],"exceptional":[242],"correspondence":[243],"ground":[245],"truth":[246],"imagery":[247],"across":[248],"diverse":[249],"scenes.":[251]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-11-03T00:00:00"}
