| 1. Identity statement | |
| Reference Type | Conference Paper (Conference Proceedings) |
| Site | sibgrapi.sid.inpe.br |
| Holder Code | ibi 8JMKD3MGPEW34M/46T9EHH |
| Identifier | 83LX3pFwXQZW44Lb/cMJwi |
| Repository | dpi.inpe.br/ambro/1998/04.17.10.02 |
| Last Update | 1998:05.25.03.00.00 (UTC) administrator |
| Metadata Repository | sid.inpe.br/banon/2001/03.30.15.55.02 |
| Metadata Last Update | 2022:06.17.22.27.42 (UTC) administrator |
| ISBN | 85-244-0103-6 |
| Citation Key | WalterFour:1996:ApArLe |
| Title | Approximate arc length parametrization  |
| Format | Impresso, On-line. |
| Year | 1996 |
| Access Date | 2024, Apr. 16 |
| Number of Files | 1 |
| Size | 188 KiB |
| 2. Context | |
| Author | 1 Walter, Marcelo 2 Fournier, Alain |
| Editor | Velho, Luiz Albuquerque, Arnaldo de Lotufo, Roberto A. |
| Conference Name | Simpósio Brasileiro de Computação Gráfica e Processamento de Imagens, 9 (SIBGRAPI) |
| Conference Location | Caxambu, MG, Brazil |
| Date | 29 Oct.-1 Nov. 1996 |
| Publisher | Sociedade Brasileira de Computação |
| Publisher City | Porto Alegre |
| Pages | 143-150 |
| Book Title | Anais |
| Tertiary Type | Artigo |
| Organization | SBC - Sociedade Brasileira de Computação; UFMG - Universidade Federal de Minas Gerais |
| History (UTC) | 2008-07-17 14:17:55 :: administrator -> banon :: 2010-08-28 20:04:48 :: banon -> administrator :: 2013-04-05 16:31:16 :: administrator -> banon :: 1996 2013-04-05 16:51:52 :: banon -> administrator :: 1996 2022-06-17 22:27:42 :: administrator -> banon :: 1996 |
| 3. Content and structure | |
| Is the master or a copy? | is the master |
| Content Stage | completed |
| Transferable | 1 |
| Keywords | arc-length parametrization approximation curve design bezier parametric curves |
| Abstract | Current approaches to compute the arc length of a parametric curve rely on table lookup schemes. We present an approximate closed-form solution to the problem of computing an arc length parametrization for any given parametric curve. Our solution outputs a one or two-span Bezier curve which relates the length of the curve to the parametric variable. The main advantage of our approach is that we obtain a simple continuous function relating the length of the curve and the parametric variable. This allows the length to be easily computed given the parametric values. Tests with our algorithm show that the maximum error in our approximation is 8.7% and that the average of maximum errors is 1.9%. Our algorithm is fast enough to compute the closed-form solution in a fraction of a second. After that a user can interactively get an approximation of the arc length for an arbitrary parameter value. |
| Type | Modelagem Geométrica |
| Arrangement 1 | urlib.net > SDLA > Fonds > Full Index > Approximate arc length... |
| Arrangement 2 | urlib.net > SDLA > Fonds > SIBGRAPI 1996 > Sumário > Approximate arc length... |
| Arrangement 3 | urlib.net > SDLA > Fonds > SIBGRAPI 1996 > Sumário > Índice > Approximate arc length... |
| doc Directory Content | access |
| source Directory Content | there are no files |
| agreement Directory Content | there are no files |
| 4. Conditions of access and use | |
| data URL | http://urlib.net/ibi/83LX3pFwXQZW44Lb/cMJwi |
| zipped data URL | http://urlib.net/zip/83LX3pFwXQZW44Lb/cMJwi |
| Language | en |
| Target File | a14.pdf |
| User Group | administrator banon |
| Visibility | shown |
| 5. Allied materials | |
| Mirror Repository | sid.inpe.br/sibgrapi@80/2007/08.02.16.22 |
| Next Higher Units | 8JMKD3MGPEW34M/4742MCS 8JMKD3MGPBW34M/3DRR7SB 8JMKD3MGPBW34M/3DRRJT5 |
| Citing Item List | sid.inpe.br/banon/2001/03.30.15.38.24 2 sid.inpe.br/sibgrapi/2013/04.05.14.57 1 sid.inpe.br/sibgrapi/2013/04.05.17.11 1 |
| Host Collection | sid.inpe.br/banon/2001/03.30.15.38 |
| 6. Notes | |
| Empty Fields | affiliation archivingpolicy archivist area callnumber contenttype copyholder copyright creatorhistory descriptionlevel dissemination documentstage doi e-mailaddress edition electronicmailaddress group issn label lineage mark nextedition notes numberofvolumes orcid parameterlist parentrepositories previousedition previouslowerunit progress project readergroup readpermission resumeid rightsholder schedulinginformation secondarydate secondarykey secondarymark secondarytype serieseditor session shorttitle sponsor subject tertiarymark url versiontype volume |
| 7. Description control | |
| e-Mail (login) | banon |
| update | |