An Integrated Approach for Landmark-Based Resistant Shape Analysis in 3D

Autores
Torcida, Sebastián; Perez, Sergio Ivan; Gonzalez, Paula Natalia
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The study of shape changes in morphology has seen a significant renovation in the last 20 years, particularly as a consequence of the development of geometric morphometric methods based on Cartesian coordinates of points. In order to extract information about shape differences when Cartesian coordinates are used, it is necessary to establish a common reference frame or system for all specimens to be compared. Therefore, a central issue in coordinate-based methods is which criterion should be used to align these configurations of points, since shape differences highly depend on those alignments. This is usually accomplished by aligning the configurations in a way that the sum of squared distances between coordinates of homologous points (landmarks) is minimized: the least-squares superimposition method. However, it is widely recognized that this method has some limitations when shape differences are not homogeneous across landmarks. Here we present an integrated approach for the resistant shape comparison of 3D landmark sets. It includes a new ordinary resistant Procrustes superimposition and its corresponding generalized resistant Procrustes version. In addition, they are combined with existing resistant multivariate statistical techniques for depicting the results. We demonstrate, by using both simulated and real datasets, that resistant Procrustes better detects and measures localized shape variation whenever present in up to half but one of the landmarks. The resistant Procrustes results are highly concordant with a priori biological information, and might dramatically improve the quality of inferences on patterns of shape variation.
Fil: Torcida, Sebastián. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional del Centro de la Pcia.de Bs.as.. Facultad de Cs.exactas. Departamento de Matemática; Argentina
Fil: Perez, Sergio Ivan. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de la Plata. Facultad de Ciencias Naturales y Museo. Departamento Científico de Antropología; Argentina
Fil: Gonzalez, Paula Natalia. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de la Plata. Facultad de Ciencias Naturales y Museo. Departamento Científico de Antropología; Argentina
Materia
Resistance
Repeated Medians
3d Landmarks
Procrustes Superimposition
Spatial Median
Resistant Mds
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/32557
Acceder
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repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling An Integrated Approach for Landmark-Based Resistant Shape Analysis in 3DTorcida, SebastiánPerez, Sergio IvanGonzalez, Paula NataliaResistanceRepeated Medians3d LandmarksProcrustes SuperimpositionSpatial MedianResistant Mdshttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1The study of shape changes in morphology has seen a significant renovation in the last 20 years, particularly as a consequence of the development of geometric morphometric methods based on Cartesian coordinates of points. In order to extract information about shape differences when Cartesian coordinates are used, it is necessary to establish a common reference frame or system for all specimens to be compared. Therefore, a central issue in coordinate-based methods is which criterion should be used to align these configurations of points, since shape differences highly depend on those alignments. This is usually accomplished by aligning the configurations in a way that the sum of squared distances between coordinates of homologous points (landmarks) is minimized: the least-squares superimposition method. However, it is widely recognized that this method has some limitations when shape differences are not homogeneous across landmarks. Here we present an integrated approach for the resistant shape comparison of 3D landmark sets. It includes a new ordinary resistant Procrustes superimposition and its corresponding generalized resistant Procrustes version. In addition, they are combined with existing resistant multivariate statistical techniques for depicting the results. We demonstrate, by using both simulated and real datasets, that resistant Procrustes better detects and measures localized shape variation whenever present in up to half but one of the landmarks. The resistant Procrustes results are highly concordant with a priori biological information, and might dramatically improve the quality of inferences on patterns of shape variation.Fil: Torcida, Sebastián. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional del Centro de la Pcia.de Bs.as.. Facultad de Cs.exactas. Departamento de Matemática; ArgentinaFil: Perez, Sergio Ivan. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de la Plata. Facultad de Ciencias Naturales y Museo. Departamento Científico de Antropología; ArgentinaFil: Gonzalez, Paula Natalia. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de la Plata. Facultad de Ciencias Naturales y Museo. Departamento Científico de Antropología; ArgentinaSpringer2014-06info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/32557Torcida, Sebastián; Perez, Sergio Ivan; Gonzalez, Paula Natalia; An Integrated Approach for Landmark-Based Resistant Shape Analysis in 3D; Springer; Evolutionary Biology; 41; 2; 6-2014; 351-3660071-3260CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1007/s11692-013-9264-1info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs11692-013-9264-1info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:18:29Zoai:ri.conicet.gov.ar:11336/32557instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:18:29.439CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv An Integrated Approach for Landmark-Based Resistant Shape Analysis in 3D
title An Integrated Approach for Landmark-Based Resistant Shape Analysis in 3D
spellingShingle An Integrated Approach for Landmark-Based Resistant Shape Analysis in 3D
Torcida, Sebastián
Resistance
Repeated Medians
3d Landmarks
Procrustes Superimposition
Spatial Median
Resistant Mds
title_short An Integrated Approach for Landmark-Based Resistant Shape Analysis in 3D
title_full An Integrated Approach for Landmark-Based Resistant Shape Analysis in 3D
title_fullStr An Integrated Approach for Landmark-Based Resistant Shape Analysis in 3D
title_full_unstemmed An Integrated Approach for Landmark-Based Resistant Shape Analysis in 3D
title_sort An Integrated Approach for Landmark-Based Resistant Shape Analysis in 3D
dc.creator.none.fl_str_mv Torcida, Sebastián
Perez, Sergio Ivan
Gonzalez, Paula Natalia
author Torcida, Sebastián
author_facet Torcida, Sebastián
Perez, Sergio Ivan
Gonzalez, Paula Natalia
author_role author
author2 Perez, Sergio Ivan
Gonzalez, Paula Natalia
author2_role author
author
dc.subject.none.fl_str_mv Resistance
Repeated Medians
3d Landmarks
Procrustes Superimposition
Spatial Median
Resistant Mds
topic Resistance
Repeated Medians
3d Landmarks
Procrustes Superimposition
Spatial Median
Resistant Mds
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv The study of shape changes in morphology has seen a significant renovation in the last 20 years, particularly as a consequence of the development of geometric morphometric methods based on Cartesian coordinates of points. In order to extract information about shape differences when Cartesian coordinates are used, it is necessary to establish a common reference frame or system for all specimens to be compared. Therefore, a central issue in coordinate-based methods is which criterion should be used to align these configurations of points, since shape differences highly depend on those alignments. This is usually accomplished by aligning the configurations in a way that the sum of squared distances between coordinates of homologous points (landmarks) is minimized: the least-squares superimposition method. However, it is widely recognized that this method has some limitations when shape differences are not homogeneous across landmarks. Here we present an integrated approach for the resistant shape comparison of 3D landmark sets. It includes a new ordinary resistant Procrustes superimposition and its corresponding generalized resistant Procrustes version. In addition, they are combined with existing resistant multivariate statistical techniques for depicting the results. We demonstrate, by using both simulated and real datasets, that resistant Procrustes better detects and measures localized shape variation whenever present in up to half but one of the landmarks. The resistant Procrustes results are highly concordant with a priori biological information, and might dramatically improve the quality of inferences on patterns of shape variation.
Fil: Torcida, Sebastián. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional del Centro de la Pcia.de Bs.as.. Facultad de Cs.exactas. Departamento de Matemática; Argentina
Fil: Perez, Sergio Ivan. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de la Plata. Facultad de Ciencias Naturales y Museo. Departamento Científico de Antropología; Argentina
Fil: Gonzalez, Paula Natalia. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de la Plata. Facultad de Ciencias Naturales y Museo. Departamento Científico de Antropología; Argentina
description The study of shape changes in morphology has seen a significant renovation in the last 20 years, particularly as a consequence of the development of geometric morphometric methods based on Cartesian coordinates of points. In order to extract information about shape differences when Cartesian coordinates are used, it is necessary to establish a common reference frame or system for all specimens to be compared. Therefore, a central issue in coordinate-based methods is which criterion should be used to align these configurations of points, since shape differences highly depend on those alignments. This is usually accomplished by aligning the configurations in a way that the sum of squared distances between coordinates of homologous points (landmarks) is minimized: the least-squares superimposition method. However, it is widely recognized that this method has some limitations when shape differences are not homogeneous across landmarks. Here we present an integrated approach for the resistant shape comparison of 3D landmark sets. It includes a new ordinary resistant Procrustes superimposition and its corresponding generalized resistant Procrustes version. In addition, they are combined with existing resistant multivariate statistical techniques for depicting the results. We demonstrate, by using both simulated and real datasets, that resistant Procrustes better detects and measures localized shape variation whenever present in up to half but one of the landmarks. The resistant Procrustes results are highly concordant with a priori biological information, and might dramatically improve the quality of inferences on patterns of shape variation.
publishDate 2014
dc.date.none.fl_str_mv 2014-06
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/32557
Torcida, Sebastián; Perez, Sergio Ivan; Gonzalez, Paula Natalia; An Integrated Approach for Landmark-Based Resistant Shape Analysis in 3D; Springer; Evolutionary Biology; 41; 2; 6-2014; 351-366
0071-3260
CONICET Digital
CONICET
url http://hdl.handle.net/11336/32557
identifier_str_mv Torcida, Sebastián; Perez, Sergio Ivan; Gonzalez, Paula Natalia; An Integrated Approach for Landmark-Based Resistant Shape Analysis in 3D; Springer; Evolutionary Biology; 41; 2; 6-2014; 351-366
0071-3260
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1007/s11692-013-9264-1
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs11692-013-9264-1
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.070432

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