Axiomatic scalar data interpolation on manifolds
Resumen:
We discuss possible algorithms for interpolating data given in a set of curves and/or points in a surface in /spl Ropf//sup 3/. We propose a set of basic assumptions to be satisfied by the interpolation algorithms which lead to a set of models in terms of possibly degenerate elliptic partial differential equations. The absolute minimal Lipschitz extension model (AMLE) is singled out and studied in more detail. We show experiments illustrating the interpolation of data on the sphere and the torus.
| 2003 | |
|
Interpolation algorithms Set theory Partial differential equations Image processing |
|
| Inglés | |
| Universidad de la República | |
| COLIBRI | |
| https://hdl.handle.net/20.500.12008/21258 | |
| Acceso abierto |
| _version_ | 1807522895042183168 |
|---|---|
| author | Sander, O |
| author2 | Caselles, Vicent Bertalmío, Marcelo |
| author2_role | author author |
| author_facet | Sander, O Caselles, Vicent Bertalmío, Marcelo |
| author_role | author |
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| collection | COLIBRI |
| dc.creator.none.fl_str_mv | Sander, O Caselles, Vicent Bertalmío, Marcelo |
| dc.date.accessioned.none.fl_str_mv | 2019-07-03T16:36:14Z |
| dc.date.available.none.fl_str_mv | 2019-07-03T16:36:14Z |
| dc.date.issued.es.fl_str_mv | 2003 |
| dc.date.submitted.es.fl_str_mv | 20190703 |
| dc.description.abstract.none.fl_txt_mv | We discuss possible algorithms for interpolating data given in a set of curves and/or points in a surface in /spl Ropf//sup 3/. We propose a set of basic assumptions to be satisfied by the interpolation algorithms which lead to a set of models in terms of possibly degenerate elliptic partial differential equations. The absolute minimal Lipschitz extension model (AMLE) is singled out and studied in more detail. We show experiments illustrating the interpolation of data on the sphere and the torus. |
| dc.identifier.citation.es.fl_str_mv | Sander, O., Caselles, Vicent, Bertalmío, M. Axiomatic scalar data interpolation on manifolds. International Conference on Image Processing, Barcelona, Spain, 2003. |
| dc.identifier.uri.none.fl_str_mv | https://hdl.handle.net/20.500.12008/21258 |
| dc.language.iso.none.fl_str_mv | en eng |
| dc.publisher.es.fl_str_mv | IEEE |
| dc.rights.none.fl_str_mv | info:eu-repo/semantics/openAccess |
| dc.source.none.fl_str_mv | reponame:COLIBRI instname:Universidad de la República instacron:Universidad de la República |
| dc.subject.es.fl_str_mv | Interpolation algorithms Set theory Partial differential equations Image processing |
| dc.title.none.fl_str_mv | Axiomatic scalar data interpolation on manifolds |
| dc.type.es.fl_str_mv | Artículo |
| dc.type.none.fl_str_mv | info:eu-repo/semantics/article |
| dc.type.version.none.fl_str_mv | info:eu-repo/semantics/publishedVersion |
| description | We discuss possible algorithms for interpolating data given in a set of curves and/or points in a surface in /spl Ropf//sup 3/. We propose a set of basic assumptions to be satisfied by the interpolation algorithms which lead to a set of models in terms of possibly degenerate elliptic partial differential equations. The absolute minimal Lipschitz extension model (AMLE) is singled out and studied in more detail. We show experiments illustrating the interpolation of data on the sphere and the torus. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | COLIBRI_e066b2ed56b73714b915457a5621cc78 |
| identifier_str_mv | Sander, O., Caselles, Vicent, Bertalmío, M. Axiomatic scalar data interpolation on manifolds. International Conference on Image Processing, Barcelona, Spain, 2003. |
| instacron_str | Universidad de la República |
| institution | Universidad de la República |
| instname_str | Universidad de la República |
| language | eng |
| language_invalid_str_mv | en |
| network_acronym_str | COLIBRI |
| network_name_str | COLIBRI |
| oai_identifier_str | oai:colibri.udelar.edu.uy:20.500.12008/21258 |
| publishDate | 2003 |
| reponame_str | COLIBRI |
| repository.mail.fl_str_mv | mabel.seroubian@seciu.edu.uy |
| repository.name.fl_str_mv | COLIBRI - Universidad de la República |
| repository_id_str | 4771 |
| spelling | 2019-07-03T16:36:14Z2019-07-03T16:36:14Z200320190703Sander, O., Caselles, Vicent, Bertalmío, M. Axiomatic scalar data interpolation on manifolds. International Conference on Image Processing, Barcelona, Spain, 2003.https://hdl.handle.net/20.500.12008/21258We discuss possible algorithms for interpolating data given in a set of curves and/or points in a surface in /spl Ropf//sup 3/. We propose a set of basic assumptions to be satisfied by the interpolation algorithms which lead to a set of models in terms of possibly degenerate elliptic partial differential equations. The absolute minimal Lipschitz extension model (AMLE) is singled out and studied in more detail. We show experiments illustrating the interpolation of data on the sphere and the torus.Made available in DSpace on 2019-07-03T16:36:14Z (GMT). No. of bitstreams: 4 license_text: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) license_url: 49 bytes, checksum: 4afdbb8c545fd630ea7db775da747b2f (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) license.txt: 4267 bytes, checksum: 6429389a7df7277b72b7924fdc7d47a9 (MD5) Previous issue date: 2003enengIEEELas obras depositadas en el Repositorio se rigen por la Ordenanza de los Derechos de la Propiedad Intelectual de la Universidad De La República. (Res. Nº 91 de C.D.C. de 8/III/1994 – D.O. 7/IV/1994) y por la Ordenanza del Repositorio Abierto de la Universidad de la República (Res. Nº 16 de C.D.C. de 07/10/2014)info:eu-repo/semantics/openAccessInterpolation algorithmsSet theoryPartial differential equationsImage processingAxiomatic scalar data interpolation on manifoldsArtículoinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionreponame:COLIBRIinstname:Universidad de la Repúblicainstacron:Universidad de la RepúblicaSander, OCaselles, VicentBertalmío, 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- Universidad de la Repúblicafalse |
| spellingShingle | Axiomatic scalar data interpolation on manifolds Sander, O Interpolation algorithms Set theory Partial differential equations Image processing |
| status_str | publishedVersion |
| title | Axiomatic scalar data interpolation on manifolds |
| title_full | Axiomatic scalar data interpolation on manifolds |
| title_fullStr | Axiomatic scalar data interpolation on manifolds |
| title_full_unstemmed | Axiomatic scalar data interpolation on manifolds |
| title_short | Axiomatic scalar data interpolation on manifolds |
| title_sort | Axiomatic scalar data interpolation on manifolds |
| topic | Interpolation algorithms Set theory Partial differential equations Image processing |
| url | https://hdl.handle.net/20.500.12008/21258 |
