A model of natural image edge co-occurrence in the rototranslation group
Resumen:
In this paper, we propose to model the edge information contained in natural scenes as points in the 3D space of positions and orientations. This space is equipped with a strong geometrical structure and it is identified as the rototranslation group. In this space, we compute a histogram of co-occurrence of edges from a database of natural images and show that it can be interpreted as a probability density function, expressed by the fundamental solution of a suitable Fokker Planck equation defined in the 3D structured space. Both estimated statistics and model predictions are reconsidered and compared with the partial gestalt association fields proposed by D. J. Field, A. Hayes, and R. F. Hess (1993). Finally, parametric identification allows to estimate the variance of the co-occurrence random process in natural images.
| 2010 | |
|
Natural image statistics Contours Good continuation Perceptual organization |
|
| Inglés | |
| Universidad de la República | |
| COLIBRI | |
| https://hdl.handle.net/20.500.12008/38729 | |
| Acceso abierto | |
| Licencia Creative Commons Atribución (CC – By 4.0) |
| _version_ | 1807522934833545216 |
|---|---|
| author | Sanguinetti, Gonzalo |
| author2 | Citti, Giovanna Sarti, Alessandro |
| author2_role | author author |
| author_facet | Sanguinetti, Gonzalo Citti, Giovanna Sarti, Alessandro |
| author_role | author |
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| collection | COLIBRI |
| dc.creator.none.fl_str_mv | Sanguinetti, Gonzalo Citti, Giovanna Sarti, Alessandro |
| dc.date.accessioned.none.fl_str_mv | 2023-08-01T20:33:31Z |
| dc.date.available.none.fl_str_mv | 2023-08-01T20:33:31Z |
| dc.date.issued.es.fl_str_mv | 2010 |
| dc.date.submitted.es.fl_str_mv | 20230801 |
| dc.description.abstract.none.fl_txt_mv | In this paper, we propose to model the edge information contained in natural scenes as points in the 3D space of positions and orientations. This space is equipped with a strong geometrical structure and it is identified as the rototranslation group. In this space, we compute a histogram of co-occurrence of edges from a database of natural images and show that it can be interpreted as a probability density function, expressed by the fundamental solution of a suitable Fokker Planck equation defined in the 3D structured space. Both estimated statistics and model predictions are reconsidered and compared with the partial gestalt association fields proposed by D. J. Field, A. Hayes, and R. F. Hess (1993). Finally, parametric identification allows to estimate the variance of the co-occurrence random process in natural images. |
| dc.identifier.citation.es.fl_str_mv | Sanguinetti, G, Citti, G, Sarti, A. “A model of natural image edge co-occurrence in the rototranslation group”. Journal of Vision, 2010, v. 10, no. 14. doi: 10.1167/10.14.37 |
| dc.identifier.doi.es.fl_str_mv | doi: 10.1167/10.14.37 |
| dc.identifier.eissn.es.fl_str_mv | ESSN: 1534-7362 |
| dc.identifier.uri.none.fl_str_mv | https://hdl.handle.net/20.500.12008/38729 |
| dc.language.iso.none.fl_str_mv | en eng |
| dc.publisher.es.fl_str_mv | ARVO |
| dc.relation.ispartof.es.fl_str_mv | Journal of Vision, 2010, v. 10, no. 14 |
| dc.rights.license.none.fl_str_mv | Licencia Creative Commons Atribución (CC – By 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.subject.es.fl_str_mv | Natural image statistics Contours Good continuation Perceptual organization |
| dc.title.none.fl_str_mv | A model of natural image edge co-occurrence in the rototranslation group |
| 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 | In this paper, we propose to model the edge information contained in natural scenes as points in the 3D space of positions and orientations. This space is equipped with a strong geometrical structure and it is identified as the rototranslation group. In this space, we compute a histogram of co-occurrence of edges from a database of natural images and show that it can be interpreted as a probability density function, expressed by the fundamental solution of a suitable Fokker Planck equation defined in the 3D structured space. Both estimated statistics and model predictions are reconsidered and compared with the partial gestalt association fields proposed by D. J. Field, A. Hayes, and R. F. Hess (1993). Finally, parametric identification allows to estimate the variance of the co-occurrence random process in natural images. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | COLIBRI_51484ef6007a03c0e6e8b5a417a3cd31 |
| identifier_str_mv | Sanguinetti, G, Citti, G, Sarti, A. “A model of natural image edge co-occurrence in the rototranslation group”. Journal of Vision, 2010, v. 10, no. 14. doi: 10.1167/10.14.37 doi: 10.1167/10.14.37 ESSN: 1534-7362 |
| 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:20.500.12008/38729 |
| publishDate | 2010 |
| 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 (CC – By 4.0) |
| spelling | 2023-08-01T20:33:31Z2023-08-01T20:33:31Z201020230801Sanguinetti, G, Citti, G, Sarti, A. “A model of natural image edge co-occurrence in the rototranslation group”. Journal of Vision, 2010, v. 10, no. 14. doi: 10.1167/10.14.37https://hdl.handle.net/20.500.12008/38729doi: 10.1167/10.14.37ESSN: 1534-7362In this paper, we propose to model the edge information contained in natural scenes as points in the 3D space of positions and orientations. This space is equipped with a strong geometrical structure and it is identified as the rototranslation group. In this space, we compute a histogram of co-occurrence of edges from a database of natural images and show that it can be interpreted as a probability density function, expressed by the fundamental solution of a suitable Fokker Planck equation defined in the 3D structured space. Both estimated statistics and model predictions are reconsidered and compared with the partial gestalt association fields proposed by D. J. Field, A. Hayes, and R. F. Hess (1993). Finally, parametric identification allows to estimate the variance of the co-occurrence random process in natural images.Made available in DSpace on 2023-08-01T20:33:31Z (GMT). No. of bitstreams: 5 SCS10.pdf: 1428750 bytes, checksum: eccb8346fc73e3a92233a62247ac81e1 (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: 2010enengARVOJournal of Vision, 2010, v. 10, no. 14Las 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 (CC – By 4.0)Natural image statisticsContoursGood continuationPerceptual organizationA model of natural image edge co-occurrence in the rototranslation groupArtículoinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionreponame:COLIBRIinstname:Universidad de la Repúblicainstacron:Universidad de la RepúblicaSanguinetti, GonzaloCitti, GiovannaSarti, AlessandroLICENSElicense.txttext/plain4194http://localhost:8080/xmlui/bitstream/20.500.12008/38729/5/license.txt7f2e2c17ef6585de66da58d1bfa8b5e1MD55CC-LICENSElicense_textapplication/octet-stream21936http://localhost:8080/xmlui/bitstream/20.500.12008/38729/2/license_text9833653f73f7853880c94a6fead477b1MD52license_urlapplication/octet-stream49http://localhost:8080/xmlui/bitstream/20.500.12008/38729/3/license_url4afdbb8c545fd630ea7db775da747b2fMD53license_rdfapplication/octet-stream23148http://localhost:8080/xmlui/bitstream/20.500.12008/38729/4/license_rdf9da0b6dfac957114c6a7714714b86306MD54ORIGINALSCS10.pdfapplication/pdf1428750http://localhost:8080/xmlui/bitstream/20.500.12008/38729/1/SCS10.pdfeccb8346fc73e3a92233a62247ac81e1MD5120.500.12008/387292023-08-01 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- Universidad de la Repúblicafalse |
| spellingShingle | A model of natural image edge co-occurrence in the rototranslation group Sanguinetti, Gonzalo Natural image statistics Contours Good continuation Perceptual organization |
| status_str | publishedVersion |
| title | A model of natural image edge co-occurrence in the rototranslation group |
| title_full | A model of natural image edge co-occurrence in the rototranslation group |
| title_fullStr | A model of natural image edge co-occurrence in the rototranslation group |
| title_full_unstemmed | A model of natural image edge co-occurrence in the rototranslation group |
| title_short | A model of natural image edge co-occurrence in the rototranslation group |
| title_sort | A model of natural image edge co-occurrence in the rototranslation group |
| topic | Natural image statistics Contours Good continuation Perceptual organization |
| url | https://hdl.handle.net/20.500.12008/38729 |
