{"id":"https://openalex.org/W4387917708","doi":"https://doi.org/10.1109/tvcg.2023.3326927","title":"Interactive Design and Optics-Based Visualization of Arbitrary Non-Euclidean Kaleidoscopic Orbifolds","display_name":"Interactive Design and Optics-Based Visualization of Arbitrary Non-Euclidean Kaleidoscopic Orbifolds","publication_year":2023,"publication_date":"2023-10-24","ids":{"openalex":"https://openalex.org/W4387917708","doi":"https://doi.org/10.1109/tvcg.2023.3326927","pmid":"https://pubmed.ncbi.nlm.nih.gov/37874711"},"language":"en","primary_location":{"id":"doi:10.1109/tvcg.2023.3326927","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvcg.2023.3326927","pdf_url":null,"source":{"id":"https://openalex.org/S84775595","display_name":"IEEE Transactions on Visualization and Computer Graphics","issn_l":"1077-2626","issn":["1077-2626","1941-0506","2160-9306"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Visualization and Computer Graphics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101808237","display_name":"Jinta Zheng","orcid":"https://orcid.org/0000-0003-1405-9479"},"institutions":[{"id":"https://openalex.org/I131249849","display_name":"Oregon State University","ror":"https://ror.org/00ysfqy60","country_code":"US","type":"education","lineage":["https://openalex.org/I131249849"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jinta Zheng","raw_affiliation_strings":["Oregon State University, USA"],"affiliations":[{"raw_affiliation_string":"Oregon State University, USA","institution_ids":["https://openalex.org/I131249849"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026074051","display_name":"Eugene Zhang","orcid":"https://orcid.org/0000-0003-4752-3119"},"institutions":[{"id":"https://openalex.org/I131249849","display_name":"Oregon State University","ror":"https://ror.org/00ysfqy60","country_code":"US","type":"education","lineage":["https://openalex.org/I131249849"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Eugene Zhang","raw_affiliation_strings":["Oregon State University, USA"],"affiliations":[{"raw_affiliation_string":"Oregon State University, USA","institution_ids":["https://openalex.org/I131249849"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100333760","display_name":"Yue Zhang","orcid":"https://orcid.org/0000-0002-8467-2781"},"institutions":[{"id":"https://openalex.org/I131249849","display_name":"Oregon State University","ror":"https://ror.org/00ysfqy60","country_code":"US","type":"education","lineage":["https://openalex.org/I131249849"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yue Zhang","raw_affiliation_strings":["Oregon State University, USA"],"affiliations":[{"raw_affiliation_string":"Oregon State University, USA","institution_ids":["https://openalex.org/I131249849"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101808237"],"corresponding_institution_ids":["https://openalex.org/I131249849"],"apc_list":null,"apc_paid":null,"fwci":0.5593,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.65531406,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"30","issue":"1","first_page":"1292","last_page":"1301"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.9904999732971191,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.9904999732971191,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9866999983787537,"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":0.9681000113487244,"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/orbifold","display_name":"Orbifold","score":0.9194028973579407},{"id":"https://openalex.org/keywords/polygon","display_name":"Polygon (computer graphics)","score":0.7194521427154541},{"id":"https://openalex.org/keywords/visualization","display_name":"Visualization","score":0.6856428384780884},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6390044689178467},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.5912160277366638},{"id":"https://openalex.org/keywords/hyperbolic-geometry","display_name":"Hyperbolic geometry","score":0.5382639169692993},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics","score":0.4852261543273926},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.4735892415046692},{"id":"https://openalex.org/keywords/rendering","display_name":"Rendering (computer graphics)","score":0.4677000045776367},{"id":"https://openalex.org/keywords/hyperbolic-space","display_name":"Hyperbolic space","score":0.4352192282676697},{"id":"https://openalex.org/keywords/euclidean-space","display_name":"Euclidean space","score":0.4220890998840332},{"id":"https://openalex.org/keywords/geodesic","display_name":"Geodesic","score":0.41876307129859924},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3630492687225342},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.34435170888900757},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3064250946044922},{"id":"https://openalex.org/keywords/differential-geometry","display_name":"Differential geometry","score":0.2897028625011444},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2598017752170563},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.25936391949653625},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.22603663802146912}],"concepts":[{"id":"https://openalex.org/C143782950","wikidata":"https://www.wikidata.org/wiki/Q40460","display_name":"Orbifold","level":2,"score":0.9194028973579407},{"id":"https://openalex.org/C190694206","wikidata":"https://www.wikidata.org/wiki/Q3276654","display_name":"Polygon (computer graphics)","level":3,"score":0.7194521427154541},{"id":"https://openalex.org/C36464697","wikidata":"https://www.wikidata.org/wiki/Q451553","display_name":"Visualization","level":2,"score":0.6856428384780884},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6390044689178467},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.5912160277366638},{"id":"https://openalex.org/C206352148","wikidata":"https://www.wikidata.org/wiki/Q209306","display_name":"Hyperbolic geometry","level":3,"score":0.5382639169692993},{"id":"https://openalex.org/C77660652","wikidata":"https://www.wikidata.org/wiki/Q150971","display_name":"Computer graphics","level":2,"score":0.4852261543273926},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.4735892415046692},{"id":"https://openalex.org/C205711294","wikidata":"https://www.wikidata.org/wiki/Q176953","display_name":"Rendering (computer graphics)","level":2,"score":0.4677000045776367},{"id":"https://openalex.org/C83677898","wikidata":"https://www.wikidata.org/wiki/Q1878538","display_name":"Hyperbolic space","level":2,"score":0.4352192282676697},{"id":"https://openalex.org/C186450821","wikidata":"https://www.wikidata.org/wiki/Q17295","display_name":"Euclidean space","level":2,"score":0.4220890998840332},{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.41876307129859924},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3630492687225342},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.34435170888900757},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3064250946044922},{"id":"https://openalex.org/C192939610","wikidata":"https://www.wikidata.org/wiki/Q188444","display_name":"Differential geometry","level":2,"score":0.2897028625011444},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2598017752170563},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.25936391949653625},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.22603663802146912},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"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":2,"locations":[{"id":"doi:10.1109/tvcg.2023.3326927","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvcg.2023.3326927","pdf_url":null,"source":{"id":"https://openalex.org/S84775595","display_name":"IEEE Transactions on Visualization and Computer Graphics","issn_l":"1077-2626","issn":["1077-2626","1941-0506","2160-9306"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Visualization and Computer Graphics","raw_type":"journal-article"},{"id":"pmid:37874711","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/37874711","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on visualization and computer graphics","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6499999761581421,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[{"id":"https://openalex.org/G493093669","display_name":null,"funder_award_id":"1619383","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W1503303133","https://openalex.org/W1511417692","https://openalex.org/W1551280966","https://openalex.org/W2015774454","https://openalex.org/W2035388937","https://openalex.org/W2051440666","https://openalex.org/W2094366023","https://openalex.org/W2095770988","https://openalex.org/W2131717552","https://openalex.org/W2137161964","https://openalex.org/W2148276052","https://openalex.org/W2163713870","https://openalex.org/W2219940092","https://openalex.org/W2235424849","https://openalex.org/W2293451440","https://openalex.org/W2508936872","https://openalex.org/W2552221052","https://openalex.org/W2558466673","https://openalex.org/W2597608666","https://openalex.org/W2736471917","https://openalex.org/W2750925845","https://openalex.org/W2795657245","https://openalex.org/W2890022542","https://openalex.org/W2954793749","https://openalex.org/W3092184120","https://openalex.org/W3092738373","https://openalex.org/W3139081031","https://openalex.org/W3192460119","https://openalex.org/W4205592260","https://openalex.org/W4232348732","https://openalex.org/W4253589439","https://openalex.org/W4318816734","https://openalex.org/W6749812510"],"related_works":["https://openalex.org/W2094418681","https://openalex.org/W2273260600","https://openalex.org/W2106320975","https://openalex.org/W4376654484","https://openalex.org/W2023081456","https://openalex.org/W2596357324","https://openalex.org/W2094950858","https://openalex.org/W609517099","https://openalex.org/W4246014943","https://openalex.org/W2604486591"],"abstract_inverted_index":{"Orbifolds":[0],"are":[1],"a":[2,49,66],"modern":[3],"mathematical":[4],"concept":[5],"that":[6,82],"arises":[7],"in":[8,16,116],"the":[9,32,57,70,74,77,86,91,95,98,108,114,129,145,154,170,174],"research":[10],"of":[11,27,97,147],"hyperbolic":[12,53,175],"geometry":[13],"with":[14,29],"applications":[15],"computer":[17],"graphics":[18],"and":[19,76,93,173],"visualization.":[20],"In":[21,137],"this":[22],"paper,":[23],"we":[24,43,106],"make":[25],"use":[26],"rooms":[28],"mirrors":[30],"as":[31,73,160,162],"visual":[33],"metaphor":[34],"for":[35,68,113],"orbifolds.":[36,136],"Given":[37],"any":[38],"arbitrary":[39,133],"two-dimensional":[40,134],"kaleidoscopic":[41,135],"orbifold,":[42,155],"provide":[44],"an":[45],"algorithm":[46],"to":[47,55,64,111,131],"construct":[48],"Euclidean,":[50],"spherical,":[51],"or":[52],"polygon":[54,60,71],"match":[56],"orbifold.":[58],"This":[59],"is":[61],"then":[62],"used":[63],"create":[65,132],"room":[67],"which":[69,119,166],"serves":[72],"floor":[75],"ceiling.":[78],"With":[79],"our":[80,139,149],"system":[81,127],"implements":[83],"M\u00f6bius":[84],"transformations,":[85],"user":[87,130],"can":[88,167],"interactively":[89],"edit":[90],"scene":[92],"see":[94],"reflections":[96],"edited":[99],"objects.":[100],"To":[101],"correctly":[102],"visualize":[103],"non-Euclidean":[104],"orbifolds,":[105],"adapt":[107],"rendering":[109],"algorithms":[110],"account":[112],"geodesics":[115],"these":[117],"spaces,":[118],"light":[120],"rays":[121],"follow.":[122],"Our":[123],"interactive":[124],"orbifold":[125,141,158],"design":[126],"allows":[128],"addition,":[138],"mirror-based":[140],"visualization":[142],"approach":[143],"has":[144],"potential":[146],"helping":[148],"users":[150],"gain":[151],"insight":[152],"on":[153],"including":[156],"its":[157,163],"notation":[159],"well":[161],"universal":[164],"cover,":[165],"also":[168],"be":[169],"spherical":[171],"space":[172],"space.":[176]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
