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dc.contributor.author Autor Lezama, Josées
dc.contributor.author Autor Morel, Jean-Micheles
dc.contributor.author Autor Randall, Gregoryes
dc.contributor.author Autor Grompone von Gioi, Rafaeles
dc.date.accessioned Fecha ingreso 2024-02-26T19:52:31Z-
dc.date.available Fecha disponible 2024-02-26T19:52:31Z-
dc.date.issued Año de publicación 2015es
dc.date.submitted Fecha de subida 20240223es
dc.description Descripción Publicado en IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 37, no. 3, 2015, pp. 499-512es
dc.description.abstract Resumen In spite of many interesting attempts, the problem of automatically finding alignments in a 2D set of points seems to be still open. The difficulty of the problem is illustrated here by very simple examples. We then propose an elaborate solution. We show that a correct alignment detection depends on not less than four interlaced criteria, namely the amount of masking in texture, the relative bilateral local density of the alignment, its internal regularity, and finally a redundancy reduction step. Extending tools of the a contrario detection theory, we show that all of these detection criteria can be naturally embedded in a single probabilistic a contrario model with a single user parameter, the number of false alarms. Our contribution to the a contrario theory is the use of sophisticated conditional events on random point sets, for which expectation we nevertheless find easy bounds. By these bounds the mathematical consistency of our detection model receives a simple proof. Our final algorithm also includes a new formulation of the exclusion principle in Gestalt theory to avoid redundant detections. Aiming at reproducibility, a source code and an online demo open to any data point set are provided. The method is carefully compared to three state-of-the-art algorithms and an application to real data is discussed. Limitations of the final method are also illustrated and explained.es
dc.identifier.citation Citación Lezama, J, Morel, J-M, Randall, G, Grompone von Gioi, R. "A Contrario 2D Point Alignment Detection," [Preprint] Publicado en: IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 37, no. 3, 2015, pp. 499-512, doi: 10.1109/TPAMI.2014.2345389.es
dc.identifier.uri URI https://hdl.handle.net/20.500.12008/42662-
dc.language metadata.dc.language enes
dc.rights Derechos 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)es
dc.rights.licence Licencia Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)es
dc.subject Palabras clave Point alignment detectiones
dc.subject Palabras clave Clustering, a contrario methodses
dc.subject Palabras clave Poisson point processes
dc.subject.other Descriptores Procesamiento de Señaleses
dc.title Título A Contrario 2D point alignment detectiones
dc.type Tipo de documento Preprintes
udelar.academic.department Departamento académico Procesamiento de Señales-
udelar.investigation.group Grupo de investigación Tratamiento de Imágenes-
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