{"id":"https://openalex.org/W3000363049","doi":"https://doi.org/10.1109/icgi47575.2019.8955061","title":"A Quantum Algorithm for Ray Casting using an Orthographic Camera","display_name":"A Quantum Algorithm for Ray Casting using an Orthographic Camera","publication_year":2019,"publication_date":"2019-11-01","ids":{"openalex":"https://openalex.org/W3000363049","doi":"https://doi.org/10.1109/icgi47575.2019.8955061","mag":"3000363049"},"language":"en","primary_location":{"id":"doi:10.1109/icgi47575.2019.8955061","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icgi47575.2019.8955061","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 International Conference on Graphics and Interaction (ICGI)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/1822/71756","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5056643596","display_name":"Carolina Alves","orcid":null},"institutions":[{"id":"https://openalex.org/I99682543","display_name":"University of Minho","ror":"https://ror.org/037wpkx04","country_code":"PT","type":"education","lineage":["https://openalex.org/I99682543"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Carolina Alves","raw_affiliation_strings":["Universidade do Minho, Braga, Portugal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universidade do Minho, Braga, Portugal","institution_ids":["https://openalex.org/I99682543"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014275814","display_name":"Lu\u00eds Paulo Santos","orcid":"https://orcid.org/0000-0003-4466-1129"},"institutions":[{"id":"https://openalex.org/I4210166615","display_name":"INESC TEC","ror":"https://ror.org/05fa8ka61","country_code":"PT","type":"nonprofit","lineage":["https://openalex.org/I4210125590","https://openalex.org/I4210166615"]},{"id":"https://openalex.org/I99682543","display_name":"University of Minho","ror":"https://ror.org/037wpkx04","country_code":"PT","type":"education","lineage":["https://openalex.org/I99682543"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Luis Paulo Santos","raw_affiliation_strings":["Universidade do Minho, INESC- TEC, Quantum Software Engineering, INL, Braga, Portugal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universidade do Minho, INESC- TEC, Quantum Software Engineering, INL, Braga, Portugal","institution_ids":["https://openalex.org/I99682543","https://openalex.org/I4210166615"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019694462","display_name":"Thomas Bashford\u2010Rogers","orcid":"https://orcid.org/0000-0003-4669-0417"},"institutions":[{"id":"https://openalex.org/I178535277","display_name":"University of the West of England","ror":"https://ror.org/02nwg5t34","country_code":"GB","type":"education","lineage":["https://openalex.org/I178535277"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Thomas Bashford-Rogers","raw_affiliation_strings":["University of West of England, Bristol, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of West of England, Bristol, United Kingdom","institution_ids":["https://openalex.org/I178535277"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.1446,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.61129271,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"56","last_page":"63"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9966999888420105,"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/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.9887999892234802,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/ray-casting","display_name":"Ray casting","score":0.8398972749710083},{"id":"https://openalex.org/keywords/rendering","display_name":"Rendering (computer graphics)","score":0.7096031308174133},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6583822965621948},{"id":"https://openalex.org/keywords/orthographic-projection","display_name":"Orthographic projection","score":0.651629626750946},{"id":"https://openalex.org/keywords/quantum-computer","display_name":"Quantum computer","score":0.6197414398193359},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6111299395561218},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5439110398292542},{"id":"https://openalex.org/keywords/quantum-algorithm","display_name":"Quantum algorithm","score":0.49901604652404785},{"id":"https://openalex.org/keywords/visibility","display_name":"Visibility","score":0.4605078101158142},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.3937883675098419},{"id":"https://openalex.org/keywords/volume-rendering","display_name":"Volume rendering","score":0.37711137533187866},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3380882740020752},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2302609384059906},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07834133505821228}],"concepts":[{"id":"https://openalex.org/C116108083","wikidata":"https://www.wikidata.org/wiki/Q1940131","display_name":"Ray casting","level":4,"score":0.8398972749710083},{"id":"https://openalex.org/C205711294","wikidata":"https://www.wikidata.org/wiki/Q176953","display_name":"Rendering (computer graphics)","level":2,"score":0.7096031308174133},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6583822965621948},{"id":"https://openalex.org/C175694140","wikidata":"https://www.wikidata.org/wiki/Q980329","display_name":"Orthographic projection","level":2,"score":0.651629626750946},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.6197414398193359},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6111299395561218},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5439110398292542},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.49901604652404785},{"id":"https://openalex.org/C123403432","wikidata":"https://www.wikidata.org/wiki/Q654068","display_name":"Visibility","level":2,"score":0.4605078101158142},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.3937883675098419},{"id":"https://openalex.org/C30769735","wikidata":"https://www.wikidata.org/wiki/Q2165951","display_name":"Volume rendering","level":3,"score":0.37711137533187866},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3380882740020752},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2302609384059906},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07834133505821228},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/icgi47575.2019.8955061","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icgi47575.2019.8955061","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 International Conference on Graphics and Interaction (ICGI)","raw_type":"proceedings-article"},{"id":"pmh:oai:repositorium.sdum.uminho.pt:1822/71756","is_oa":true,"landing_page_url":"http://hdl.handle.net/1822/71756","pdf_url":null,"source":{"id":"https://openalex.org/S4306400354","display_name":"Reposit\u00f3riUM (Universidade do Minho)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I99682543","host_organization_name":"University of Minho","host_organization_lineage":["https://openalex.org/I99682543"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"conference paper"},{"id":"pmh:oai:repositorium.sdum.uminho.pt:1822/80054","is_oa":true,"landing_page_url":"https://hdl.handle.net/1822/80054","pdf_url":null,"source":{"id":"https://openalex.org/S4306400354","display_name":"Reposit\u00f3riUM (Universidade do Minho)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I99682543","host_organization_name":"University of Minho","host_organization_lineage":["https://openalex.org/I99682543"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"master thesis"},{"id":"pmh:oai:repositorium.uminho.pt:1822/71756","is_oa":true,"landing_page_url":"https://hdl.handle.net/1822/71756","pdf_url":null,"source":{"id":"https://openalex.org/S4306402433","display_name":"Portuguese National Funding Agency for Science, Research and Technology (RCAAP Project by FCT)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"conference paper"}],"best_oa_location":{"id":"pmh:oai:repositorium.sdum.uminho.pt:1822/71756","is_oa":true,"landing_page_url":"http://hdl.handle.net/1822/71756","pdf_url":null,"source":{"id":"https://openalex.org/S4306400354","display_name":"Reposit\u00f3riUM (Universidade do Minho)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I99682543","host_organization_name":"University of Minho","host_organization_lineage":["https://openalex.org/I99682543"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"conference paper"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1233412953","display_name":null,"funder_award_id":"NORTE-01-0145-FEDER-000037","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"},{"id":"https://openalex.org/G1516346500","display_name":null,"funder_award_id":"01-0145","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G298851772","display_name":null,"funder_award_id":"UID/EEA/50014/2019","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G323769159","display_name":null,"funder_award_id":"PORTUGAL 2020","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G3244141788","display_name":null,"funder_award_id":"50014","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G3550249319","display_name":null,"funder_award_id":"NORTE 2020","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"},{"id":"https://openalex.org/G7584003722","display_name":null,"funder_award_id":"NORTE-01-0145","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G7647539875","display_name":null,"funder_award_id":"NORTE-01-0145-FEDER-000037","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G8274051256","display_name":null,"funder_award_id":"NORTE 2020","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"}],"funders":[{"id":"https://openalex.org/F4320334779","display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","ror":"https://ror.org/00snfqn58"},{"id":"https://openalex.org/F4320335322","display_name":"European Regional Development Fund","ror":"https://ror.org/00k4n6c32"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1608473410","https://openalex.org/W1610042244","https://openalex.org/W1986888700","https://openalex.org/W2020918964","https://openalex.org/W2024720042","https://openalex.org/W2046922189","https://openalex.org/W2068967633","https://openalex.org/W2084652510","https://openalex.org/W2148132004","https://openalex.org/W2153887174","https://openalex.org/W2179731956","https://openalex.org/W2511762663","https://openalex.org/W2903328350","https://openalex.org/W3023478445","https://openalex.org/W3106123690","https://openalex.org/W3111297213","https://openalex.org/W4233798822","https://openalex.org/W6682301127"],"related_works":["https://openalex.org/W2089692868","https://openalex.org/W2028900186","https://openalex.org/W2138363255","https://openalex.org/W2546238894","https://openalex.org/W1968535041","https://openalex.org/W2365245159","https://openalex.org/W2348607019","https://openalex.org/W2161847162","https://openalex.org/W2091557302","https://openalex.org/W2318820220"],"abstract_inverted_index":{"Quantum":[0],"computing":[1,54],"has":[2],"the":[3,58,78,109,168],"potential":[4],"to":[5,8,30,40,55,101,157,173],"provide":[6],"solutions":[7],"many":[9],"problems":[10,24],"which":[11,27,80,96],"are":[12,22,28],"challenging":[13],"or":[14],"out":[15],"of":[16,18,57,77,86,127],"reach":[17],"classical":[19,110],"computers.":[20],"There":[21],"several":[23],"in":[25,33,43,51,62,73,150,165],"rendering":[26],"amenable":[29],"being":[31],"solved":[32],"quantum":[34,53,131,163],"computers,":[35,164],"but":[36],"these":[37],"have":[38],"yet":[39],"be":[41],"demonstrated":[42],"practice.":[44],"This":[45,66,137],"work":[46,167],"takes":[47],"a":[48,74,84,93,105,139],"first":[49],"step":[50],"applying":[52],"one":[56],"most":[59],"fundamental":[60],"operations":[61],"rendering:":[63],"ray":[64,135],"casting.":[65,136],"technique":[67],"computes":[68],"visibility":[69,145],"between":[70],"two":[71],"points":[72],"3D":[75],"model":[76],"world":[79],"is":[81,115,171],"described":[82],"by":[83],"collection":[85],"geometric":[87],"primitives.":[88],"The":[89],"algorithm":[90],"returns,":[91],"for":[92,112,134,144,147],"given":[94],"ray,":[95],"primitive":[97],"it":[98],"intersects":[99],"closest":[100],"its":[102],"origin.":[103],"Without":[104],"spatial":[106],"acceleration":[107],"structure,":[108],"complexity":[111],"this":[113,121,166],"operation":[114],"<tex":[116,151],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[117,152],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$O(N)$</tex>":[118],".":[119,154],"In":[120],"paper,":[122],"we":[123],"propose":[124],"an":[125],"implementation":[126],"Grover's":[128],"Algorithm":[129],"(a":[130],"search":[132],"algorithm)":[133],"provides":[138],"quadratic":[140],"speed":[141],"up":[142],"allowing":[143],"evaluation":[146],"unstructured":[148],"primitives":[149],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$O(\\sqrt{N})$</tex>":[153],"However,":[155],"due":[156],"technological":[158],"limitations":[159],"associated":[160],"with":[161],"current":[162],"geometrical":[169],"setup":[170],"limited":[172],"rectangles":[174],"and":[175],"parallel":[176],"rays":[177],"(orthographic":[178],"projection).":[179]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}
