Continuity and Interpolation techniques for Computer Graphics

Continuity and interpolation have been crucial topics for computer graphics since its very beginnings. Every time we want to interpolate values across some area, we need to take a set of samples over that interpolating region. However, interpolating samples faithfully allowing the results to closely...

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Detalles Bibliográficos
Autores: González García, Francisco, Patow, Gustavo
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2016
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:10256/12094
Acceso en línea:http://hdl.handle.net/10256/12094
Access Level:acceso embargado
Palabra clave:Infografia
Computer graphics
Visualització (Informàtica)
Information display systems
Interpolació (Matemàtica)
Interpolation
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spelling Continuity and Interpolation techniques for Computer GraphicsGonzález García, FranciscoPatow, GustavoInfografiaComputer graphicsVisualització (Informàtica)Information display systemsInterpolació (Matemàtica)InterpolationContinuity and interpolation have been crucial topics for computer graphics since its very beginnings. Every time we want to interpolate values across some area, we need to take a set of samples over that interpolating region. However, interpolating samples faithfully allowing the results to closely match the underlying functions can be a tricky task as the functions to sample could not be smooth and, in the worst case, it could be even impossible when they are not continuous. In those situations bringing the required continuity is not an easy task, and much work has been done to solve this problem. In this paper, we focus on the state of the art in continuity and interpolation in three stages of the real-time rendering pipeline. We study these problems and their current solutions in texture space (2D), object space (3D) and screen space. With this review of the literature in these areas, we hope to bring new light and foster research in these fundamental, yet not completely solved problems in computer graphicsWe would like to thank the people that helped this work to become true, in particular the ViRVIG-GGG members. This work was partially funded by the TIN2013-47137-C2-2-P project from Ministerio de Economia y Competitividad, SpainWileyMinisterio de Economía y Competitividad (Espanya)infoinfo2016info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/10256/12094http://hdl.handle.net/10256/12094© Computer Graphics Forum, 2015, vol.35, núm. 1, p. 309-322Articles publicats (D-IMAE)González García, Francisco Patow, Gustavo 2015 Continuity and Interpolation techniques for Computer Graphics Computer Graphics Forumreponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)Inglésinfo:eu-repo/semantics/altIdentifier/doi/10.1111/cgf.12727info:eu-repo/semantics/altIdentifier/issn/0167-7055info:eu-repo/semantics/altIdentifier/eissn/1467-8659info:eu-repo/grantAgreement/MINECO//TIN2013-47137-C2-2-PTots els drets reservatsinfo:eu-repo/semantics/embargoedAccessoai:recercat.cat:10256/120942026-05-29T05:05:01Z
dc.title.none.fl_str_mv Continuity and Interpolation techniques for Computer Graphics
title Continuity and Interpolation techniques for Computer Graphics
spellingShingle Continuity and Interpolation techniques for Computer Graphics
González García, Francisco
Infografia
Computer graphics
Visualització (Informàtica)
Information display systems
Interpolació (Matemàtica)
Interpolation
title_short Continuity and Interpolation techniques for Computer Graphics
title_full Continuity and Interpolation techniques for Computer Graphics
title_fullStr Continuity and Interpolation techniques for Computer Graphics
title_full_unstemmed Continuity and Interpolation techniques for Computer Graphics
title_sort Continuity and Interpolation techniques for Computer Graphics
dc.creator.none.fl_str_mv González García, Francisco
Patow, Gustavo
author González García, Francisco
author_facet González García, Francisco
Patow, Gustavo
author_role author
author2 Patow, Gustavo
author2_role author
dc.contributor.none.fl_str_mv Ministerio de Economía y Competitividad (Espanya)
dc.subject.none.fl_str_mv Infografia
Computer graphics
Visualització (Informàtica)
Information display systems
Interpolació (Matemàtica)
Interpolation
topic Infografia
Computer graphics
Visualització (Informàtica)
Information display systems
Interpolació (Matemàtica)
Interpolation
description Continuity and interpolation have been crucial topics for computer graphics since its very beginnings. Every time we want to interpolate values across some area, we need to take a set of samples over that interpolating region. However, interpolating samples faithfully allowing the results to closely match the underlying functions can be a tricky task as the functions to sample could not be smooth and, in the worst case, it could be even impossible when they are not continuous. In those situations bringing the required continuity is not an easy task, and much work has been done to solve this problem. In this paper, we focus on the state of the art in continuity and interpolation in three stages of the real-time rendering pipeline. We study these problems and their current solutions in texture space (2D), object space (3D) and screen space. With this review of the literature in these areas, we hope to bring new light and foster research in these fundamental, yet not completely solved problems in computer graphics
publishDate 2016
dc.date.none.fl_str_mv 2016
info
info
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10256/12094
http://hdl.handle.net/10256/12094
url http://hdl.handle.net/10256/12094
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1111/cgf.12727
info:eu-repo/semantics/altIdentifier/issn/0167-7055
info:eu-repo/semantics/altIdentifier/eissn/1467-8659
info:eu-repo/grantAgreement/MINECO//TIN2013-47137-C2-2-P
dc.rights.none.fl_str_mv Tots els drets reservats
info:eu-repo/semantics/embargoedAccess
rights_invalid_str_mv Tots els drets reservats
eu_rights_str_mv embargoedAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Wiley
publisher.none.fl_str_mv Wiley
dc.source.none.fl_str_mv © Computer Graphics Forum, 2015, vol.35, núm. 1, p. 309-322
Articles publicats (D-IMAE)
González García, Francisco Patow, Gustavo 2015 Continuity and Interpolation techniques for Computer Graphics Computer Graphics Forum
reponame:Recercat. Dipósit de la Recerca de Catalunya
instname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
instname_str Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
reponame_str Recercat. Dipósit de la Recerca de Catalunya
collection Recercat. Dipósit de la Recerca de Catalunya
repository.name.fl_str_mv
repository.mail.fl_str_mv
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