A resistant method for landmark-based analysis of individual asymmetry in two dimensions

Background: Symmetry of biological structures can be thought as the repetition of their parts in different positions and orientations. Asymmetry analyses, therefore, focuses on identifying and measuring the location and extent of symmetry departures in such structures. In the context of geometric mo...

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Autores principales: Torcida, Sebastián, González, Paula Natalia, Lotto, Federico Pablo
Formato: Articulo
Lenguaje:Inglés
Publicado: 2016
Materias:
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/85853
Aporte de:
id I19-R120-10915-85853
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Naturales
landmarks
matching and object symmetry
resistant procrustes method
shape asymmetry
spellingShingle Ciencias Naturales
landmarks
matching and object symmetry
resistant procrustes method
shape asymmetry
Torcida, Sebastián
González, Paula Natalia
Lotto, Federico Pablo
A resistant method for landmark-based analysis of individual asymmetry in two dimensions
topic_facet Ciencias Naturales
landmarks
matching and object symmetry
resistant procrustes method
shape asymmetry
description Background: Symmetry of biological structures can be thought as the repetition of their parts in different positions and orientations. Asymmetry analyses, therefore, focuses on identifying and measuring the location and extent of symmetry departures in such structures. In the context of geometric morphometrics, a key step when studying morphological variation is the estimation of the symmetric shape. The standard procedure uses the least-squares Procrustes superimposition, which by averaging shape differences often underestimates the symmetry departures thus leading to an inaccurate description of the asymmetry pattern. Moreover, the corresponding asymmetry values are neither geometrically intuitive nor visually perceivable. Methods: In this work, a resistant method for landmark-based asymmetry analysis of individual bilateral symmetric structures in 2D is introduced. A geometrical derivation of this new approach is offered, while its advantages in comparison with the standard method are examined and discussed through a few illustrative examples. Results: Experimental tests on both artificial and real data show that asymmetry is more effectively measured by using the resistant method because the underlying symmetric shape is better estimated. Therefore, the most asymmetric (respectively symmetric) landmarks are better determined through their large (respectively small) residuals. The percentage of asymmetry that is accounted for by each landmark is an additional revealing measure the new method offers which agrees with the displayed results while helping in their biological interpretation. Conclusions: The resistant method is a useful exploratory tool for analyzing shape asymmetry in 2D, and it might be the preferable method whenever a non homogeneous deformation of bilateral symmetric structures is possible. By offering a more detailed and rather exhaustive explanation of the asymmetry pattern, this new approach will hopefully contribute to improve the quality of biological or developmental inferences.
format Articulo
Articulo
author Torcida, Sebastián
González, Paula Natalia
Lotto, Federico Pablo
author_facet Torcida, Sebastián
González, Paula Natalia
Lotto, Federico Pablo
author_sort Torcida, Sebastián
title A resistant method for landmark-based analysis of individual asymmetry in two dimensions
title_short A resistant method for landmark-based analysis of individual asymmetry in two dimensions
title_full A resistant method for landmark-based analysis of individual asymmetry in two dimensions
title_fullStr A resistant method for landmark-based analysis of individual asymmetry in two dimensions
title_full_unstemmed A resistant method for landmark-based analysis of individual asymmetry in two dimensions
title_sort resistant method for landmark-based analysis of individual asymmetry in two dimensions
publishDate 2016
url http://sedici.unlp.edu.ar/handle/10915/85853
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