| 1. Identity statement | |
| Reference Type | Conference Paper (Conference Proceedings) |
| Site | sibgrapi.sid.inpe.br |
| Holder Code | ibi 8JMKD3MGPEW34M/46T9EHH |
| Identifier | 8JMKD3MGPBW4/35S5B7P |
| Repository | sid.inpe.br/sibgrapi@80/2009/08.17.15.26 |
| Last Update | 2009:08.17.15.26.35 (UTC) administrator |
| Metadata Repository | sid.inpe.br/sibgrapi@80/2009/08.17.15.26.36 |
| Metadata Last Update | 2022:06.14.00.13.55 (UTC) administrator |
| DOI | 10.1109/SIBGRAPI.2009.11 |
| Citation Key | MacêdoJúniorGoisVelh:2009:HeInIm |
| Title | Hermite Interpolation of Implicit Surfaces with Radial Basis Functions  |
| Format | Printed, On-line. |
| Year | 2009 |
| Access Date | 2024, May 03 |
| Number of Files | 1 |
| Size | 4261 KiB |
| 2. Context | |
| Author | 1 Macêdo Júnior, Ives José de Albuquerque 2 Gois, João Paulo 3 Velho, Luiz Carlos Pacheco Rodrigues |
| Affiliation | 1 IMPA - Instituto Nacional de Matemática Pura e Aplicada 2 Universidade Federal do ABC 3 IMPA - Instituto Nacional de Matemática Pura e Aplicada |
| Editor | Nonato, Luis Gustavo Scharcanski, Jacob |
| e-Mail Address | ijamj@impa.br |
| Conference Name | Brazilian Symposium on Computer Graphics and Image Processing, 22 (SIBGRAPI) |
| Conference Location | Rio de Janeiro, RJ, Brazil |
| Date | 11-14 Oct. 2009 |
| Publisher | IEEE Computer Society |
| Publisher City | Los Alamitos |
| Book Title | Proceedings |
| Tertiary Type | Full Paper |
| History (UTC) | 2010-08-28 20:03:24 :: ijamj@impa.br -> administrator :: 2022-06-14 00:13:55 :: administrator -> :: 2009 |
| 3. Content and structure | |
| Is the master or a copy? | is the master |
| Content Stage | completed |
| Transferable | 1 |
| Version Type | finaldraft |
| Keywords | implicit surfaces Hermite data radial basis functions Hermite-Birkhoff interpolation scattered data approximation geometric modeling surface reconstruction |
| Abstract | We present the Hermite radial basis function (HRBF) implicits method to compute a global implicit function which interpolates scattered multivariate Hermite data (unstructured points and their corresponding normals). Differently from previous radial basis functions (RBF) approaches, HRBF implicits do not depend on offset points to ensure existence and uniqueness of its interpolant. Intrinsic properties of this method allow the computation of implicit surfaces rich in details, with irregularly spaced points even in the presence of close sheets. Comparisons to previous works show the effectiveness of our approach. Further, the theoretical background of HRBF implicits relies on results from generalized interpolation theory with RBFs, making possible powerful new variants of this method and establishing connections with previous efforts based on statistical learning theory. |
| Arrangement | Hermite Interpolation of... |
| 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/8JMKD3MGPBW4/35S5B7P |
| zipped data URL | http://urlib.net/zip/8JMKD3MGPBW4/35S5B7P |
| Language | en |
| Target File | macedo-HRBFImplicits.pdf |
| User Group | ijamj@impa.br |
| Visibility | shown |
| 5. Allied materials | |
| Next Higher Units | 8JMKD3MGPEW34M/46SJQ2S 8JMKD3MGPEW34M/4742MCS |
| Citing Item List | sid.inpe.br/sibgrapi/2022/05.14.19.43 2 |
| Host Collection | sid.inpe.br/banon/2001/03.30.15.38 |
| 6. Notes | |
| Empty Fields | archivingpolicy archivist area callnumber contenttype copyholder copyright creatorhistory descriptionlevel dissemination documentstage edition electronicmailaddress group isbn issn label lineage mark mirrorrepository nextedition notes numberofvolumes orcid organization pages parameterlist parentrepositories previousedition previouslowerunit progress project readergroup readpermission resumeid rightsholder schedulinginformation secondarydate secondarykey secondarymark secondarytype serieseditor session shorttitle sponsor subject tertiarymark type url volume |