Constrained anisotropic diffusion and some applications
Resumen:
Minimal surface regularization has been used in several app lications ranging from stereo to image segmentation, sometimes hidden as a gra ph-cut discrete formulation, or as a strictly convex approximation to TV minimization. In this paper we consider a modified version of minimal surfac e regularization coupled with a robust data fitting term for interpolatio n purposes, where the corresponding evolution equation is constrained to dif fuse only along the isophotes of a given image u and we design a convergent numerical scheme to accomplish this. To illustrate the usefulness of our appr oach, we apply this framework to the digital elevation model interpolatio n and to constrained vector probability diffusion
| 2006 | |
| Inglés | |
| Universidad de la República | |
| COLIBRI | |
| https://hdl.handle.net/20.500.12008/38710 | |
| Acceso abierto | |
| Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| _version_ | 1807522934625927168 |
|---|---|
| author | Facciolo, Gabriele |
| author2 | Lecumberry, Federico Almansa, Andrés Pardo, Alvaro Caselles, Vicent Rougé, Bernard |
| author2_role | author author author author author |
| author_facet | Facciolo, Gabriele Lecumberry, Federico Almansa, Andrés Pardo, Alvaro Caselles, Vicent Rougé, Bernard |
| author_role | author |
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| collection | COLIBRI |
| dc.creator.none.fl_str_mv | Facciolo, Gabriele Lecumberry, Federico Almansa, Andrés Pardo, Alvaro Caselles, Vicent Rougé, Bernard |
| dc.date.accessioned.none.fl_str_mv | 2023-08-01T20:33:26Z |
| dc.date.available.none.fl_str_mv | 2023-08-01T20:33:26Z |
| dc.date.issued.es.fl_str_mv | 2006 |
| dc.date.submitted.es.fl_str_mv | 20230801 |
| dc.description.abstract.none.fl_txt_mv | Minimal surface regularization has been used in several app lications ranging from stereo to image segmentation, sometimes hidden as a gra ph-cut discrete formulation, or as a strictly convex approximation to TV minimization. In this paper we consider a modified version of minimal surfac e regularization coupled with a robust data fitting term for interpolatio n purposes, where the corresponding evolution equation is constrained to dif fuse only along the isophotes of a given image u and we design a convergent numerical scheme to accomplish this. To illustrate the usefulness of our appr oach, we apply this framework to the digital elevation model interpolatio n and to constrained vector probability diffusion |
| dc.description.es.fl_txt_mv | Trabajo presentado en la British Machine Vision Conference, BMVC, 2006 |
| dc.identifier.citation.es.fl_str_mv | Facciolo, G. Lecumberry, F. Almansa, A. Pardo, A. Caselles, V. Rougé, B. Constrained anisotropic diffusion and some applications [Preprint] Publicado en Proceedings of the British Machine Vision Conference, Edinburgh, UK, 2006. doi 10.5244/C.20.1 |
| dc.identifier.uri.none.fl_str_mv | https://hdl.handle.net/20.500.12008/38710 |
| dc.language.iso.none.fl_str_mv | en eng |
| dc.rights.license.none.fl_str_mv | Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| 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.title.none.fl_str_mv | Constrained anisotropic diffusion and some applications |
| dc.type.es.fl_str_mv | Preprint |
| dc.type.none.fl_str_mv | info:eu-repo/semantics/preprint |
| dc.type.version.none.fl_str_mv | info:eu-repo/semantics/submittedVersion |
| description | Trabajo presentado en la British Machine Vision Conference, BMVC, 2006 |
| eu_rights_str_mv | openAccess |
| format | preprint |
| id | COLIBRI_567051b95a64666d0f07da406e6612b7 |
| identifier_str_mv | Facciolo, G. Lecumberry, F. Almansa, A. Pardo, A. Caselles, V. Rougé, B. Constrained anisotropic diffusion and some applications [Preprint] Publicado en Proceedings of the British Machine Vision Conference, Edinburgh, UK, 2006. doi 10.5244/C.20.1 |
| 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:20.500.12008/38710 |
| publishDate | 2006 |
| 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 |
| rights_invalid_str_mv | Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| spelling | 2023-08-01T20:33:26Z2023-08-01T20:33:26Z200620230801Facciolo, G. Lecumberry, F. Almansa, A. Pardo, A. Caselles, V. Rougé, B. Constrained anisotropic diffusion and some applications [Preprint] Publicado en Proceedings of the British Machine Vision Conference, Edinburgh, UK, 2006. doi 10.5244/C.20.1https://hdl.handle.net/20.500.12008/38710Trabajo presentado en la British Machine Vision Conference, BMVC, 2006Minimal surface regularization has been used in several app lications ranging from stereo to image segmentation, sometimes hidden as a gra ph-cut discrete formulation, or as a strictly convex approximation to TV minimization. In this paper we consider a modified version of minimal surfac e regularization coupled with a robust data fitting term for interpolatio n purposes, where the corresponding evolution equation is constrained to dif fuse only along the isophotes of a given image u and we design a convergent numerical scheme to accomplish this. To illustrate the usefulness of our appr oach, we apply this framework to the digital elevation model interpolatio n and to constrained vector probability diffusionMade available in DSpace on 2023-08-01T20:33:26Z (GMT). No. of bitstreams: 5 bmvc2006-cad.pdf: 335521 bytes, checksum: 3d5f47d0eb2c3e5a58f0e788d0a9c004 (MD5) license_text: 21936 bytes, checksum: 9833653f73f7853880c94a6fead477b1 (MD5) license_url: 49 bytes, checksum: 4afdbb8c545fd630ea7db775da747b2f (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5) license.txt: 4194 bytes, checksum: 7f2e2c17ef6585de66da58d1bfa8b5e1 (MD5) Previous issue date: 2006enengLas 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/openAccessLicencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)Constrained anisotropic diffusion and some applicationsPreprintinfo:eu-repo/semantics/preprintinfo:eu-repo/semantics/submittedVersionreponame:COLIBRIinstname:Universidad de la Repúblicainstacron:Universidad de la RepúblicaFacciolo, GabrieleLecumberry, FedericoAlmansa, AndrésPardo, AlvaroCaselles, VicentRougé, 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- Universidad de la Repúblicafalse |
| spellingShingle | Constrained anisotropic diffusion and some applications Facciolo, Gabriele |
| status_str | submittedVersion |
| title | Constrained anisotropic diffusion and some applications |
| title_full | Constrained anisotropic diffusion and some applications |
| title_fullStr | Constrained anisotropic diffusion and some applications |
| title_full_unstemmed | Constrained anisotropic diffusion and some applications |
| title_short | Constrained anisotropic diffusion and some applications |
| title_sort | Constrained anisotropic diffusion and some applications |
| url | https://hdl.handle.net/20.500.12008/38710 |
