A Copula-Based BRDF Model

In this paper, we introduce a novel approach for modeling surface reflection. We focus on using a family of probability distributions called Archimedean copulas as BRDF models. The Archimedean representation has an attractive property in that the multivariate distributions are characterized by their...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Computer graphics forum 2010-09, Vol.29 (6), p.1795-1806
Hauptverfasser: Öztürk, Aydın, Kurt, Murat, Bilgili, Ahmet
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 1806
container_issue 6
container_start_page 1795
container_title Computer graphics forum
container_volume 29
creator Öztürk, Aydın
Kurt, Murat
Bilgili, Ahmet
description In this paper, we introduce a novel approach for modeling surface reflection. We focus on using a family of probability distributions called Archimedean copulas as BRDF models. The Archimedean representation has an attractive property in that the multivariate distributions are characterized by their marginal distributions through a single univariate function only. It is shown that the proposed model meets the reciprocity property of reflection. Based on measured BRDF data, we demonstrate that the proposed approach provides a good approximation to BRDF. Empirical comparisons are made with some classically used BRDF models.
doi_str_mv 10.1111/j.1467-8659.2010.01649.x
format Article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_831152650</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>831152650</sourcerecordid><originalsourceid>FETCH-LOGICAL-c4109-3a3329c1ede15fa75f2384062bda60456b457bb72f02468fb1c0f40938fefaf83</originalsourceid><addsrcrecordid>eNqNkD1PwzAURS0EEqXwA9giFqaE5_grGRhooS1SWyQ-xPjkJLaUkjYlbkX773EI6sCEF1vX9zw9HUICChH152YRUS5VmEiRRjH4FKjkabQ7Ir3DxzHp-VSFCoQ4JWfOLQCAKyl65PIuGNbrbaXDgXamCAbP96NgVhemOicnVlfOXPzeffI2engdTsLp0_hxeDcNc04hDZlmLE5zagpDhdVK2JglHGScFVoCFzLjQmWZii3EXCY2ozlYDilLrLHaJqxPrru566b-3Bq3wWXpclNVemXqrcOEUSpiKcA3r_40F_W2WfnlUAkQUshE-VLSlfKmdq4xFtdNudTNHilgawwX2IrBVgy2xvDHGO48etuhX2Vl9v_mcDgetS_Phx1fuo3ZHXjdfKBUTAl8n4_xZTblk8EccMS-AYMlfIg</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>750565687</pqid></control><display><type>article</type><title>A Copula-Based BRDF Model</title><source>Wiley Online Library Journals Frontfile Complete</source><source>EBSCOhost Business Source Complete</source><creator>Öztürk, Aydın ; Kurt, Murat ; Bilgili, Ahmet</creator><creatorcontrib>Öztürk, Aydın ; Kurt, Murat ; Bilgili, Ahmet</creatorcontrib><description>In this paper, we introduce a novel approach for modeling surface reflection. We focus on using a family of probability distributions called Archimedean copulas as BRDF models. The Archimedean representation has an attractive property in that the multivariate distributions are characterized by their marginal distributions through a single univariate function only. It is shown that the proposed model meets the reciprocity property of reflection. Based on measured BRDF data, we demonstrate that the proposed approach provides a good approximation to BRDF. Empirical comparisons are made with some classically used BRDF models.</description><identifier>ISSN: 0167-7055</identifier><identifier>EISSN: 1467-8659</identifier><identifier>DOI: 10.1111/j.1467-8659.2010.01649.x</identifier><language>eng</language><publisher>Oxford, UK: Blackwell Publishing Ltd</publisher><subject>3-D graphics ; Approximation ; BRDF representation ; Computer based modeling ; Computer graphics ; copula distributions ; Empirical analysis ; I.3.7 [Computer Graphics]: Three-Dimensional Graphics and Realism ; Luminosity ; Mathematical analysis ; Mathematical models ; Reciprocity ; Reflection ; reflection models ; rendering ; Representations ; Studies</subject><ispartof>Computer graphics forum, 2010-09, Vol.29 (6), p.1795-1806</ispartof><rights>2010 The Authors Journal compilation © 2010 The Eurographics Association and Blackwell Publishing Ltd.</rights><rights>2010 The Eurographics Association and Blackwell Publishing</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c4109-3a3329c1ede15fa75f2384062bda60456b457bb72f02468fb1c0f40938fefaf83</citedby><cites>FETCH-LOGICAL-c4109-3a3329c1ede15fa75f2384062bda60456b457bb72f02468fb1c0f40938fefaf83</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://onlinelibrary.wiley.com/doi/pdf/10.1111%2Fj.1467-8659.2010.01649.x$$EPDF$$P50$$Gwiley$$H</linktopdf><linktohtml>$$Uhttps://onlinelibrary.wiley.com/doi/full/10.1111%2Fj.1467-8659.2010.01649.x$$EHTML$$P50$$Gwiley$$H</linktohtml><link.rule.ids>314,776,780,1411,27903,27904,45553,45554</link.rule.ids></links><search><creatorcontrib>Öztürk, Aydın</creatorcontrib><creatorcontrib>Kurt, Murat</creatorcontrib><creatorcontrib>Bilgili, Ahmet</creatorcontrib><title>A Copula-Based BRDF Model</title><title>Computer graphics forum</title><description>In this paper, we introduce a novel approach for modeling surface reflection. We focus on using a family of probability distributions called Archimedean copulas as BRDF models. The Archimedean representation has an attractive property in that the multivariate distributions are characterized by their marginal distributions through a single univariate function only. It is shown that the proposed model meets the reciprocity property of reflection. Based on measured BRDF data, we demonstrate that the proposed approach provides a good approximation to BRDF. Empirical comparisons are made with some classically used BRDF models.</description><subject>3-D graphics</subject><subject>Approximation</subject><subject>BRDF representation</subject><subject>Computer based modeling</subject><subject>Computer graphics</subject><subject>copula distributions</subject><subject>Empirical analysis</subject><subject>I.3.7 [Computer Graphics]: Three-Dimensional Graphics and Realism</subject><subject>Luminosity</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Reciprocity</subject><subject>Reflection</subject><subject>reflection models</subject><subject>rendering</subject><subject>Representations</subject><subject>Studies</subject><issn>0167-7055</issn><issn>1467-8659</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2010</creationdate><recordtype>article</recordtype><recordid>eNqNkD1PwzAURS0EEqXwA9giFqaE5_grGRhooS1SWyQ-xPjkJLaUkjYlbkX773EI6sCEF1vX9zw9HUICChH152YRUS5VmEiRRjH4FKjkabQ7Ir3DxzHp-VSFCoQ4JWfOLQCAKyl65PIuGNbrbaXDgXamCAbP96NgVhemOicnVlfOXPzeffI2engdTsLp0_hxeDcNc04hDZlmLE5zagpDhdVK2JglHGScFVoCFzLjQmWZii3EXCY2ozlYDilLrLHaJqxPrru566b-3Bq3wWXpclNVemXqrcOEUSpiKcA3r_40F_W2WfnlUAkQUshE-VLSlfKmdq4xFtdNudTNHilgawwX2IrBVgy2xvDHGO48etuhX2Vl9v_mcDgetS_Phx1fuo3ZHXjdfKBUTAl8n4_xZTblk8EccMS-AYMlfIg</recordid><startdate>201009</startdate><enddate>201009</enddate><creator>Öztürk, Aydın</creator><creator>Kurt, Murat</creator><creator>Bilgili, Ahmet</creator><general>Blackwell Publishing Ltd</general><scope>BSCLL</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>8FD</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>F28</scope><scope>FR3</scope></search><sort><creationdate>201009</creationdate><title>A Copula-Based BRDF Model</title><author>Öztürk, Aydın ; Kurt, Murat ; Bilgili, Ahmet</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c4109-3a3329c1ede15fa75f2384062bda60456b457bb72f02468fb1c0f40938fefaf83</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2010</creationdate><topic>3-D graphics</topic><topic>Approximation</topic><topic>BRDF representation</topic><topic>Computer based modeling</topic><topic>Computer graphics</topic><topic>copula distributions</topic><topic>Empirical analysis</topic><topic>I.3.7 [Computer Graphics]: Three-Dimensional Graphics and Realism</topic><topic>Luminosity</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Reciprocity</topic><topic>Reflection</topic><topic>reflection models</topic><topic>rendering</topic><topic>Representations</topic><topic>Studies</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Öztürk, Aydın</creatorcontrib><creatorcontrib>Kurt, Murat</creatorcontrib><creatorcontrib>Bilgili, Ahmet</creatorcontrib><collection>Istex</collection><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Technology Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts – Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><collection>ANTE: Abstracts in New Technology &amp; Engineering</collection><collection>Engineering Research Database</collection><jtitle>Computer graphics forum</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Öztürk, Aydın</au><au>Kurt, Murat</au><au>Bilgili, Ahmet</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A Copula-Based BRDF Model</atitle><jtitle>Computer graphics forum</jtitle><date>2010-09</date><risdate>2010</risdate><volume>29</volume><issue>6</issue><spage>1795</spage><epage>1806</epage><pages>1795-1806</pages><issn>0167-7055</issn><eissn>1467-8659</eissn><abstract>In this paper, we introduce a novel approach for modeling surface reflection. We focus on using a family of probability distributions called Archimedean copulas as BRDF models. The Archimedean representation has an attractive property in that the multivariate distributions are characterized by their marginal distributions through a single univariate function only. It is shown that the proposed model meets the reciprocity property of reflection. Based on measured BRDF data, we demonstrate that the proposed approach provides a good approximation to BRDF. Empirical comparisons are made with some classically used BRDF models.</abstract><cop>Oxford, UK</cop><pub>Blackwell Publishing Ltd</pub><doi>10.1111/j.1467-8659.2010.01649.x</doi><tpages>12</tpages></addata></record>
fulltext fulltext
identifier ISSN: 0167-7055
ispartof Computer graphics forum, 2010-09, Vol.29 (6), p.1795-1806
issn 0167-7055
1467-8659
language eng
recordid cdi_proquest_miscellaneous_831152650
source Wiley Online Library Journals Frontfile Complete; EBSCOhost Business Source Complete
subjects 3-D graphics
Approximation
BRDF representation
Computer based modeling
Computer graphics
copula distributions
Empirical analysis
I.3.7 [Computer Graphics]: Three-Dimensional Graphics and Realism
Luminosity
Mathematical analysis
Mathematical models
Reciprocity
Reflection
reflection models
rendering
Representations
Studies
title A Copula-Based BRDF Model
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-22T07%3A53%3A47IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=A%20Copula-Based%20BRDF%20Model&rft.jtitle=Computer%20graphics%20forum&rft.au=%C3%96zt%C3%BCrk,%20Ayd%C4%B1n&rft.date=2010-09&rft.volume=29&rft.issue=6&rft.spage=1795&rft.epage=1806&rft.pages=1795-1806&rft.issn=0167-7055&rft.eissn=1467-8659&rft_id=info:doi/10.1111/j.1467-8659.2010.01649.x&rft_dat=%3Cproquest_cross%3E831152650%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=750565687&rft_id=info:pmid/&rfr_iscdi=true