Identity statement area
Reference TypeConference Paper (Conference Proceedings)
Last Update2012: administrator
Metadata Last Update2013: administrator
Citation KeyCombaStol:1993:AfArAp
TitleAffine arithmetic and its applications to computer graphics
FormatImpresso, On-line.
Access Date2021, Mar. 07
Number of Files1
Size7767 KiB
Context area
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
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
Book TitleAnais
Tertiary TypeArtigo
History2012-12-10 13:49:31 :: -> administrator ::
2013-01-03 01:24:48 :: administrator -> :: 1993
Content and structure area
Is the master or a copy?is the master
Content Stagecompleted
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.
source Directory Contentthere are no files
agreement Directory Contentthere are no files
Conditions of access and use area
data URL
zipped data URL
Target File2 Affine arithmetic and its applications to computer graphics.pdf
User Groupadministrator
Allied materials area
Notes area
Empty Fieldsaccessionnumber archivingpolicy archivist area callnumber contenttype copyholder copyright creatorhistory descriptionlevel dissemination documentstage doi edition electronicmailaddress group holdercode issn label lineage mark nextedition nexthigherunit notes numberofvolumes orcid organization parameterlist parentrepositories previousedition previouslowerunit progress project readergroup readpermission resumeid rightsholder secondarydate secondarykey secondarymark secondarytype serieseditor session shorttitle sponsor subject tertiarymark url versiontype
Description control area
e-Mail (login)