The whole and the parts : The MDL principle and the a-contrario framework
Resumen:
This work explores the connections between the Minimum Description Length (MDL) principle as developed by Rissanen, and the a-contrario framework for structure detection proposed by Desolneux, Moisan and Morel. The MDL principle focuses on the best interpretation for the whole data while the a-contrario approach concentrates on detecting parts of the data with anomalous statistics. Although framed in different theoretical formalisms, we show that both methodologies share many common concepts and tools in their machinery and yield very similar formulations in a number of interesting scenarios ranging from simple toy examples to practical applications such as polygonal approximation of curves and line segment detection in images. We also formulate the conditions under which both approaches are formally equivalent.
| 2021 | |
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Model selection Structure detection MDL A-contrario framework Non accidentalness principle NFA Polygonal approximation Line segment detection |
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| Inglés | |
| Universidad de la República | |
| COLIBRI | |
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https://arxiv.org/abs/2112.06853
https://hdl.handle.net/20.500.12008/30466 |
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| Acceso abierto | |
| Licencia Creative Commons Atribución - No Comercial - Compartir Igual (CC - By-NC-SA 4.0) |
| _version_ | 1807522899111706624 |
|---|---|
| author | Grompone von Gioi, Rafael |
| author2 | Ramírez Paulino, Ignacio Randall, Gregory |
| author2_role | author author |
| author_facet | Grompone von Gioi, Rafael Ramírez Paulino, Ignacio Randall, Gregory |
| author_role | author |
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| collection | COLIBRI |
| dc.contributor.filiacion.none.fl_str_mv | Grompone von Gioi Rafael, Université Paris-Saclay Ramírez Paulino Ignacio, Universidad de la República (Uruguay). Facultad de Ingeniería. Randall Gregory, Universidad de la República (Uruguay). Facultad de Ingeniería. |
| dc.creator.none.fl_str_mv | Grompone von Gioi, Rafael Ramírez Paulino, Ignacio Randall, Gregory |
| dc.date.accessioned.none.fl_str_mv | 2021-12-17T15:39:12Z |
| dc.date.available.none.fl_str_mv | 2021-12-17T15:39:12Z |
| dc.date.issued.none.fl_str_mv | 2021 |
| dc.description.abstract.none.fl_txt_mv | This work explores the connections between the Minimum Description Length (MDL) principle as developed by Rissanen, and the a-contrario framework for structure detection proposed by Desolneux, Moisan and Morel. The MDL principle focuses on the best interpretation for the whole data while the a-contrario approach concentrates on detecting parts of the data with anomalous statistics. Although framed in different theoretical formalisms, we show that both methodologies share many common concepts and tools in their machinery and yield very similar formulations in a number of interesting scenarios ranging from simple toy examples to practical applications such as polygonal approximation of curves and line segment detection in images. We also formulate the conditions under which both approaches are formally equivalent. |
| dc.format.extent.es.fl_str_mv | 32 p. |
| dc.format.mimetype.es.fl_str_mv | application/pdf |
| dc.identifier.citation.es.fl_str_mv | Grompone von Gioi, R., Ramírez Paulino, I. y Randall, G. The whole and the parts : The MDL principle and the a-contrario framework [Preprint]. Publicado en : Computer Science (cs.CV-Computer Vision and Pattern Recognition), 2021, pp. 1-32. arXiv:2112.06853. |
| dc.identifier.uri.none.fl_str_mv | https://arxiv.org/abs/2112.06853 https://hdl.handle.net/20.500.12008/30466 |
| dc.language.iso.none.fl_str_mv | en eng |
| dc.publisher.es.fl_str_mv | arXiv |
| dc.relation.ispartof.es.fl_str_mv | Computer Science (cs.CV-Computer Vision and Pattern Recognition), arXiv:2112.06853, Dec. 2021, pp. 1-32. |
| dc.rights.license.none.fl_str_mv | Licencia Creative Commons Atribución - No Comercial - Compartir Igual (CC - By-NC-SA 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 | Model selection Structure detection MDL A-contrario framework Non accidentalness principle NFA Polygonal approximation Line segment detection |
| dc.title.none.fl_str_mv | The whole and the parts : The MDL principle and the a-contrario framework |
| 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 | This work explores the connections between the Minimum Description Length (MDL) principle as developed by Rissanen, and the a-contrario framework for structure detection proposed by Desolneux, Moisan and Morel. The MDL principle focuses on the best interpretation for the whole data while the a-contrario approach concentrates on detecting parts of the data with anomalous statistics. Although framed in different theoretical formalisms, we show that both methodologies share many common concepts and tools in their machinery and yield very similar formulations in a number of interesting scenarios ranging from simple toy examples to practical applications such as polygonal approximation of curves and line segment detection in images. We also formulate the conditions under which both approaches are formally equivalent. |
| eu_rights_str_mv | openAccess |
| format | preprint |
| id | COLIBRI_d7e0b9f362c93d95cc6440dfba55cfe6 |
| identifier_str_mv | Grompone von Gioi, R., Ramírez Paulino, I. y Randall, G. The whole and the parts : The MDL principle and the a-contrario framework [Preprint]. Publicado en : Computer Science (cs.CV-Computer Vision and Pattern Recognition), 2021, pp. 1-32. arXiv:2112.06853. |
| 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:20.500.12008/30466 |
| publishDate | 2021 |
| 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 - Compartir Igual (CC - By-NC-SA 4.0) |
| spelling | Grompone von Gioi Rafael, Université Paris-SaclayRamírez Paulino Ignacio, Universidad de la República (Uruguay). Facultad de Ingeniería.Randall Gregory, Universidad de la República (Uruguay). Facultad de Ingeniería.2021-12-17T15:39:12Z2021-12-17T15:39:12Z2021Grompone von Gioi, R., Ramírez Paulino, I. y Randall, G. The whole and the parts : The MDL principle and the a-contrario framework [Preprint]. Publicado en : Computer Science (cs.CV-Computer Vision and Pattern Recognition), 2021, pp. 1-32. arXiv:2112.06853.https://arxiv.org/abs/2112.06853https://hdl.handle.net/20.500.12008/30466This work explores the connections between the Minimum Description Length (MDL) principle as developed by Rissanen, and the a-contrario framework for structure detection proposed by Desolneux, Moisan and Morel. The MDL principle focuses on the best interpretation for the whole data while the a-contrario approach concentrates on detecting parts of the data with anomalous statistics. Although framed in different theoretical formalisms, we show that both methodologies share many common concepts and tools in their machinery and yield very similar formulations in a number of interesting scenarios ranging from simple toy examples to practical applications such as polygonal approximation of curves and line segment detection in images. We also formulate the conditions under which both approaches are formally equivalent.Submitted by Ribeiro Jorge (jribeiro@fing.edu.uy) on 2021-12-14T20:07:16Z No. of bitstreams: 2 license_rdf: 23749 bytes, checksum: 6a69abe32f6fabdffa4c61be8f8efebd (MD5) GRR21.pdf: 5887710 bytes, checksum: 090f1b31926ec70b7ce4c1446cccf12f (MD5)Approved for entry into archive by Machado Jimena (jmachado@fing.edu.uy) on 2021-12-16T18:22:29Z (GMT) No. of bitstreams: 2 license_rdf: 23749 bytes, checksum: 6a69abe32f6fabdffa4c61be8f8efebd (MD5) GRR21.pdf: 5887710 bytes, checksum: 090f1b31926ec70b7ce4c1446cccf12f (MD5)Made available in DSpace by Seroubian Mabel (mabel.seroubian@seciu.edu.uy) on 2021-12-17T15:39:12Z (GMT). No. of bitstreams: 2 license_rdf: 23749 bytes, checksum: 6a69abe32f6fabdffa4c61be8f8efebd (MD5) GRR21.pdf: 5887710 bytes, checksum: 090f1b31926ec70b7ce4c1446cccf12f (MD5) Previous issue date: 202132 p.application/pdfenengarXivComputer Science (cs.CV-Computer Vision and Pattern Recognition), arXiv:2112.06853, Dec. 2021, pp. 1-32.Las 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 - Compartir Igual (CC - By-NC-SA 4.0)Model selectionStructure detectionMDLA-contrario frameworkNon accidentalness principleNFAPolygonal approximationLine segment detectionThe whole and the parts : The MDL principle and the a-contrario frameworkPreprintinfo:eu-repo/semantics/preprintinfo:eu-repo/semantics/submittedVersionreponame:COLIBRIinstname:Universidad de la Repúblicainstacron:Universidad de la RepúblicaGrompone von Gioi, RafaelRamírez Paulino, IgnacioRandall, GregoryProcesamiento de SeñalesTratamiento de ImágenesLICENSElicense.txtlicense.txttext/plain; charset=utf-84267http://localhost:8080/xmlui/bitstream/20.500.12008/30466/5/license.txt6429389a7df7277b72b7924fdc7d47a9MD55CC-LICENSElicense_urllicense_urltext/plain; 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- Universidad de la Repúblicafalse |
| spellingShingle | The whole and the parts : The MDL principle and the a-contrario framework Grompone von Gioi, Rafael Model selection Structure detection MDL A-contrario framework Non accidentalness principle NFA Polygonal approximation Line segment detection |
| status_str | submittedVersion |
| title | The whole and the parts : The MDL principle and the a-contrario framework |
| title_full | The whole and the parts : The MDL principle and the a-contrario framework |
| title_fullStr | The whole and the parts : The MDL principle and the a-contrario framework |
| title_full_unstemmed | The whole and the parts : The MDL principle and the a-contrario framework |
| title_short | The whole and the parts : The MDL principle and the a-contrario framework |
| title_sort | The whole and the parts : The MDL principle and the a-contrario framework |
| topic | Model selection Structure detection MDL A-contrario framework Non accidentalness principle NFA Polygonal approximation Line segment detection |
| url | https://arxiv.org/abs/2112.06853 https://hdl.handle.net/20.500.12008/30466 |
