Robust and unsupervised perceptual grouping of curves of dots

Lezama, José - Randall, Gregory - Morel, Jean-Michel - Grompone von Gioi, Rafael

Resumen:

The Gestalt school of psychology proposed the existence of a short list of grouping laws governing visual perception. Among them, the law of good continuation can be stated as All else being equal, elements that can be seen as smooth continuations of each other tend to be grouped together [6] (Fig. 2). In the computational domain, attention to the Gestalt laws has been given since the early days of computer vision. D. Lowe was among the first to state the importance of incorporating the Gestalt principles of co-linearity, co-curvilinearity and simplicity for perceptual grouping algorithms [5]. Various computational formalizations of the good continuation principle have been proposed ever since, most notably the tensor voting approach [2, 3]. In this work1, we propose a new model and algorithm for the perceptual grouping by good continuation using a simple model that favors local symmetries, and with a detection control based on the non-accidentalness principle. This allows the method to be general in the sense that it can capture smooth curves of any shape and scale, and is robust to outliers and noise. It is also unsupervised because detections are given by their statistical significance, which requires only a single parameter, namely the number of false detections that would be allowed in an image of random noise. The proposed algorithm consists of two main steps: building candidate chains of points, and validating them. Candidate chains of points are built by considering triplets of points formed by joining nearest neighbors. Once valid triplets have been obtained, a graph representation is produced where each node corresponds to a triplet. A classic path finding algorithm is run on this graph to obtain paths between all pairs of triplets. Finally, the paths found are validated as non-accidental or rejected using thresholds obtained with the a contrario approach [1].


Detalles Bibliográficos
2016
Procesamiento de Señales
Inglés
Universidad de la República
COLIBRI
https://hdl.handle.net/20.500.12008/42727
Acceso abierto
Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)
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author Lezama, José
author2 Randall, Gregory
Morel, Jean-Michel
Grompone von Gioi, Rafael
author2_role author
author
author
author_facet Lezama, José
Randall, Gregory
Morel, Jean-Michel
Grompone von Gioi, Rafael
author_role author
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collection COLIBRI
dc.creator.none.fl_str_mv Lezama, José
Randall, Gregory
Morel, Jean-Michel
Grompone von Gioi, Rafael
dc.date.accessioned.none.fl_str_mv 2024-02-26T19:52:48Z
dc.date.available.none.fl_str_mv 2024-02-26T19:52:48Z
dc.date.issued.es.fl_str_mv 2016
dc.date.submitted.es.fl_str_mv 20240223
dc.description.abstract.none.fl_txt_mv The Gestalt school of psychology proposed the existence of a short list of grouping laws governing visual perception. Among them, the law of good continuation can be stated as All else being equal, elements that can be seen as smooth continuations of each other tend to be grouped together [6] (Fig. 2). In the computational domain, attention to the Gestalt laws has been given since the early days of computer vision. D. Lowe was among the first to state the importance of incorporating the Gestalt principles of co-linearity, co-curvilinearity and simplicity for perceptual grouping algorithms [5]. Various computational formalizations of the good continuation principle have been proposed ever since, most notably the tensor voting approach [2, 3]. In this work1, we propose a new model and algorithm for the perceptual grouping by good continuation using a simple model that favors local symmetries, and with a detection control based on the non-accidentalness principle. This allows the method to be general in the sense that it can capture smooth curves of any shape and scale, and is robust to outliers and noise. It is also unsupervised because detections are given by their statistical significance, which requires only a single parameter, namely the number of false detections that would be allowed in an image of random noise. The proposed algorithm consists of two main steps: building candidate chains of points, and validating them. Candidate chains of points are built by considering triplets of points formed by joining nearest neighbors. Once valid triplets have been obtained, a graph representation is produced where each node corresponds to a triplet. A classic path finding algorithm is run on this graph to obtain paths between all pairs of triplets. Finally, the paths found are validated as non-accidental or rejected using thresholds obtained with the a contrario approach [1].
dc.identifier.citation.es.fl_str_mv Lezama, J, Randall, G, Morel, J-M, Grompone von Gioi, R. "Robust and unsupervised perceptual grouping of curves of dots" 10th IEEE Computer Society Workshop on Perceptual Organization in Computer Vision: The Role of Feedback in Recognition and Motion Perception, Las Vegas, USA, 26 jun., 2016.
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/20.500.12008/42727
dc.language.iso.none.fl_str_mv en
eng
dc.publisher.es.fl_str_mv IEEE
dc.relation.ispartof.es.fl_str_mv 10th IEEE Computer Society Workshop on Perceptual Organization in Computer Vision: The Role of Feedback in Recognition and Motion Perception, Las Vegas, USA, 26 jun., 2016
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.subject.other.es.fl_str_mv Procesamiento de Señales
dc.title.none.fl_str_mv Robust and unsupervised perceptual grouping of curves of dots
dc.type.es.fl_str_mv Ponencia
dc.type.none.fl_str_mv info:eu-repo/semantics/conferenceObject
dc.type.version.none.fl_str_mv info:eu-repo/semantics/publishedVersion
description The Gestalt school of psychology proposed the existence of a short list of grouping laws governing visual perception. Among them, the law of good continuation can be stated as All else being equal, elements that can be seen as smooth continuations of each other tend to be grouped together [6] (Fig. 2). In the computational domain, attention to the Gestalt laws has been given since the early days of computer vision. D. Lowe was among the first to state the importance of incorporating the Gestalt principles of co-linearity, co-curvilinearity and simplicity for perceptual grouping algorithms [5]. Various computational formalizations of the good continuation principle have been proposed ever since, most notably the tensor voting approach [2, 3]. In this work1, we propose a new model and algorithm for the perceptual grouping by good continuation using a simple model that favors local symmetries, and with a detection control based on the non-accidentalness principle. This allows the method to be general in the sense that it can capture smooth curves of any shape and scale, and is robust to outliers and noise. It is also unsupervised because detections are given by their statistical significance, which requires only a single parameter, namely the number of false detections that would be allowed in an image of random noise. The proposed algorithm consists of two main steps: building candidate chains of points, and validating them. Candidate chains of points are built by considering triplets of points formed by joining nearest neighbors. Once valid triplets have been obtained, a graph representation is produced where each node corresponds to a triplet. A classic path finding algorithm is run on this graph to obtain paths between all pairs of triplets. Finally, the paths found are validated as non-accidental or rejected using thresholds obtained with the a contrario approach [1].
eu_rights_str_mv openAccess
format conferenceObject
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identifier_str_mv Lezama, J, Randall, G, Morel, J-M, Grompone von Gioi, R. "Robust and unsupervised perceptual grouping of curves of dots" 10th IEEE Computer Society Workshop on Perceptual Organization in Computer Vision: The Role of Feedback in Recognition and Motion Perception, Las Vegas, USA, 26 jun., 2016.
instacron_str Universidad de la República
institution Universidad de la República
instname_str Universidad de la República
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language_invalid_str_mv en
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oai_identifier_str oai:colibri.udelar.edu.uy:20.500.12008/42727
publishDate 2016
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 2024-02-26T19:52:48Z2024-02-26T19:52:48Z201620240223Lezama, J, Randall, G, Morel, J-M, Grompone von Gioi, R. "Robust and unsupervised perceptual grouping of curves of dots" 10th IEEE Computer Society Workshop on Perceptual Organization in Computer Vision: The Role of Feedback in Recognition and Motion Perception, Las Vegas, USA, 26 jun., 2016.https://hdl.handle.net/20.500.12008/42727The Gestalt school of psychology proposed the existence of a short list of grouping laws governing visual perception. Among them, the law of good continuation can be stated as All else being equal, elements that can be seen as smooth continuations of each other tend to be grouped together [6] (Fig. 2). In the computational domain, attention to the Gestalt laws has been given since the early days of computer vision. D. Lowe was among the first to state the importance of incorporating the Gestalt principles of co-linearity, co-curvilinearity and simplicity for perceptual grouping algorithms [5]. Various computational formalizations of the good continuation principle have been proposed ever since, most notably the tensor voting approach [2, 3]. In this work1, we propose a new model and algorithm for the perceptual grouping by good continuation using a simple model that favors local symmetries, and with a detection control based on the non-accidentalness principle. This allows the method to be general in the sense that it can capture smooth curves of any shape and scale, and is robust to outliers and noise. It is also unsupervised because detections are given by their statistical significance, which requires only a single parameter, namely the number of false detections that would be allowed in an image of random noise. The proposed algorithm consists of two main steps: building candidate chains of points, and validating them. Candidate chains of points are built by considering triplets of points formed by joining nearest neighbors. Once valid triplets have been obtained, a graph representation is produced where each node corresponds to a triplet. A classic path finding algorithm is run on this graph to obtain paths between all pairs of triplets. Finally, the paths found are validated as non-accidental or rejected using thresholds obtained with the a contrario approach [1].Made available in DSpace on 2024-02-26T19:52:48Z (GMT). No. of bitstreams: 5 LRMG16.pdf: 341121 bytes, checksum: a840612c508e7760a41b8ad82b036565 (MD5) license_text: 21936 bytes, checksum: 9833653f73f7853880c94a6fead477b1 (MD5) license_url: 49 bytes, checksum: 4afdbb8c545fd630ea7db775da747b2f (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5) license.txt: 4244 bytes, checksum: 528b6a3c8c7d0c6e28129d576e989607 (MD5) Previous issue date: 2016enengIEEE10th IEEE Computer Society Workshop on Perceptual Organization in Computer Vision: The Role of Feedback in Recognition and Motion Perception, Las Vegas, USA, 26 jun., 2016Las 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)Procesamiento de SeñalesRobust and unsupervised perceptual grouping of curves of dotsPonenciainfo:eu-repo/semantics/conferenceObjectinfo:eu-repo/semantics/publishedVersionreponame:COLIBRIinstname:Universidad de la Repúblicainstacron:Universidad de la RepúblicaLezama, JoséRandall, GregoryMorel, Jean-MichelGrompone von Gioi, RafaelProcesamiento de SeñalesTratamiento de 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- Universidad de la Repúblicafalse
spellingShingle Robust and unsupervised perceptual grouping of curves of dots
Lezama, José
Procesamiento de Señales
status_str publishedVersion
title Robust and unsupervised perceptual grouping of curves of dots
title_full Robust and unsupervised perceptual grouping of curves of dots
title_fullStr Robust and unsupervised perceptual grouping of curves of dots
title_full_unstemmed Robust and unsupervised perceptual grouping of curves of dots
title_short Robust and unsupervised perceptual grouping of curves of dots
title_sort Robust and unsupervised perceptual grouping of curves of dots
topic Procesamiento de Señales
url https://hdl.handle.net/20.500.12008/42727