| Reference Type | Conference Proceedings |
| Identifier | 8JMKD3MGPBW34M/3D6UQ68 |
| Repository | sid.inpe.br/sibgrapi/2012/12.10.13.49 |
| Metadata | sid.inpe.br/sibgrapi/2012/12.10.13.49.31 |
| Site | sibgrapi.sid.inpe.br |
| ISBN | 978-85-7669-271-3 |
| Citation Key | CombaStol:1993:AfArAp |
| Author | 1 Comba, João Luiz Dihl 2 Stolfi, Jorge |
| Affiliation | 1 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) |
| Title | Affine arithmetic and its applications to computer graphics  |
| Conference Name | Simpósio Brasileiro de Computação Gráfica e Processamento de Imagens, 6 (SIBGRAPI) |
| Year | 1993 |
| Editor | Figueiredo, Luiz Henrique de Gomes, Jonas de Miranda |
| Volume | 1 |
| Book Title | Anais |
| Date | 19 - 22 out. 1993 |
| Publisher City | Porto Alegre |
| Publisher | Sociedade Brasileira de Computação |
| Conference Location | Recife |
| Keywords | computer graphics, construction of octrees, implicit surfaces, arithmetic. |
| Abstract | We 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. |
| Pages | 9-18 |
| Language | en |
| Type | Rendering |
| Tertiary Type | Artigo |
| Format | Impresso, On-line. |
| Size | 7767 KiB |
| Number of Files | 1 |
| Target File | 2 Affine arithmetic and its applications to computer graphics.pdf |
| Last Update | 2012:12.10.13.49.31 sid.inpe.br/banon/2001/03.30.15.38 administrator |
| Metadata Last Update | 2013:01.03.01.24.48 sid.inpe.br/banon/2001/03.30.15.38 administrator {D 1993} |
| Document Stage | completed |
| Is the master or a copy? | is the master |
| Mirror | sid.inpe.br/sibgrapi@80/2007/08.02.16.22 |
| e-Mail Address | cintiagraziele.silva@gmail.com |
| e-Mail (login) | cintiagraziele.silva@gmail.com |
| User Group | administrator cintiagraziele.silva@gmail.com |
| Visibility | shown |
| Transferable | 1 |
| Host Collection | sid.inpe.br/banon/2001/03.30.15.38 |
| source Directory Content | there are no files |
| agreement Directory Content | there are no files |
| History | 2012-12-10 13:49:31 :: cintiagraziele.silva@gmail.com -> administrator :: 2013-01-03 01:24:48 :: administrator -> cintiagraziele.silva@gmail.com :: 1993 |
| Empty Fields | accessionnumber 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 |
| Access Date | 2020, June 06 |
| update |