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Reference TypeConference Paper (Conference Proceedings)
Sitesibgrapi.sid.inpe.br
Identifier8JMKD3MGPBW34M/3D6UQ68
Repositorysid.inpe.br/sibgrapi/2012/12.10.13.49
Last Update2012:12.10.13.49.31 administrator
Metadatasid.inpe.br/sibgrapi/2012/12.10.13.49.31
Metadata Last Update2013:01.03.01.24.48 administrator
ISBN978-85-7669-271-3
Citation KeyCombaStol:1993:AfArAp
TitleAffine arithmetic and its applications to computer graphics
FormatImpresso, On-line.
Year1993
Access Date2021, Mar. 07
Number of Files1
Size7767 KiB
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Author1 Comba, João Luiz Dihl
2 Stolfi, Jorge
Affiliation1 Laboratório de Computação Gráfica (LCG-COPPE) da Universidade Federal do Rio de Janeiro
2 Departamento da Ciência da Computação (DCC) da Universidade Estadual de Campinas (UNICAMP)
EditorFigueiredo, Luiz Henrique de
Gomes, Jonas de Miranda
e-Mail Addresscintiagraziele.silva@gmail.com
Conference NameSimpósio Brasileiro de Computação Gráfica e Processamento de Imagens, 6 (SIBGRAPI)
Conference LocationRecife
Date19 - 22 out. 1993
PublisherSociedade Brasileira de Computação
Publisher CityPorto Alegre
Volume1
Pages9-18
Book TitleAnais
Tertiary TypeArtigo
History2012-12-10 13:49:31 :: cintiagraziele.silva@gmail.com -> administrator ::
2013-01-03 01:24:48 :: administrator -> cintiagraziele.silva@gmail.com :: 1993
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Is the master or a copy?is the master
Content Stagecompleted
Transferable1
Keywordscomputer graphics, construction of octrees, implicit surfaces, arithmetic.
AbstractWe describe a new method for numeric computations, which we call affine arithmetic (AA). This model is similar to standard interval arithmetic, to the extent that it automatically keeps track or rounding and truncation errors for each computed value. However, by taking into account correlations between operands and sub-formulas, AA is able to provide much tighter bounds for the computed quantities, with errors that are approximately quadratic in the uncertainty of the input variables. We also describe two applications of AA to computer graphics problems, where this feature is particularly valuable: namely, ray tracing and the construction of octrees for implicit surfaces.
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data URLhttp://urlib.net/rep/8JMKD3MGPBW34M/3D6UQ68
zipped data URLhttp://urlib.net/zip/8JMKD3MGPBW34M/3D6UQ68
Languageen
Target File2 Affine arithmetic and its applications to computer graphics.pdf
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cintiagraziele.silva@gmail.com
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Mirror Repositorysid.inpe.br/sibgrapi@80/2007/08.02.16.22
Host Collectionsid.inpe.br/banon/2001/03.30.15.38
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e-Mail (login)cintiagraziele.silva@gmail.com
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