Shape-changing chains for morphometric analysis of 2D and 3D, open or closed outlines

Abstract Morphometrics is a multivariate technique for shape analysis widely employed in biological, medical, and paleoanthropological applications. Commonly used morphometric methods require analyzing a huge amount of variables for problems involving a large number of specimens or complex shapes. M...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Bingjue Li, Shengmin Zhou, Andrew Peter Murray, Gérard Subsol
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/f32ca01331c2475a837cd477271b3fcd
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:f32ca01331c2475a837cd477271b3fcd
record_format	dspace
spelling	oai:doaj.org-article:f32ca01331c2475a837cd477271b3fcd2021-11-08T10:54:04ZShape-changing chains for morphometric analysis of 2D and 3D, open or closed outlines10.1038/s41598-021-00911-52045-2322https://doaj.org/article/f32ca01331c2475a837cd477271b3fcd2021-11-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-00911-5https://doaj.org/toc/2045-2322Abstract Morphometrics is a multivariate technique for shape analysis widely employed in biological, medical, and paleoanthropological applications. Commonly used morphometric methods require analyzing a huge amount of variables for problems involving a large number of specimens or complex shapes. Moreover, the analysis results are sometimes difficult to interpret and assess. This paper presents a methodology to synthesize a shape-changing chain for 2D or 3D curve fitting and to employ the chain parameters in stepwise discriminant analysis (DA). The shape-changing chain is comprised of three types of segments, including rigid segments that have fixed length and shape, scalable segments with a fixed shape, and extendible segments with constant curvature and torsion. Three examples are presented, including 2D mandible profiles of fossil hominin, 2D leaf outlines, and 3D suture curves on infant skulls. The results demonstrate that the shape-changing chain has several advantages over common morphometric methods. Specifically, it can be applied to a wide range of 2D or 3D profiles, including open or closed curves, and smooth or serrated curves. Additionally, the segmentation of profiles is a flexible and automatic protocol that can consider both biological and geometric features, the number of variables obtained from the fitting results for statistical analysis is modest, and the chain parameters that characterize the profiles can have physical meaning.Bingjue LiShengmin ZhouAndrew Peter MurrayGérard SubsolNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-20 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Bingjue Li Shengmin Zhou Andrew Peter Murray Gérard Subsol Shape-changing chains for morphometric analysis of 2D and 3D, open or closed outlines
description	Abstract Morphometrics is a multivariate technique for shape analysis widely employed in biological, medical, and paleoanthropological applications. Commonly used morphometric methods require analyzing a huge amount of variables for problems involving a large number of specimens or complex shapes. Moreover, the analysis results are sometimes difficult to interpret and assess. This paper presents a methodology to synthesize a shape-changing chain for 2D or 3D curve fitting and to employ the chain parameters in stepwise discriminant analysis (DA). The shape-changing chain is comprised of three types of segments, including rigid segments that have fixed length and shape, scalable segments with a fixed shape, and extendible segments with constant curvature and torsion. Three examples are presented, including 2D mandible profiles of fossil hominin, 2D leaf outlines, and 3D suture curves on infant skulls. The results demonstrate that the shape-changing chain has several advantages over common morphometric methods. Specifically, it can be applied to a wide range of 2D or 3D profiles, including open or closed curves, and smooth or serrated curves. Additionally, the segmentation of profiles is a flexible and automatic protocol that can consider both biological and geometric features, the number of variables obtained from the fitting results for statistical analysis is modest, and the chain parameters that characterize the profiles can have physical meaning.
format	article
author	Bingjue Li Shengmin Zhou Andrew Peter Murray Gérard Subsol
author_facet	Bingjue Li Shengmin Zhou Andrew Peter Murray Gérard Subsol
author_sort	Bingjue Li
title	Shape-changing chains for morphometric analysis of 2D and 3D, open or closed outlines
title_short	Shape-changing chains for morphometric analysis of 2D and 3D, open or closed outlines
title_full	Shape-changing chains for morphometric analysis of 2D and 3D, open or closed outlines
title_fullStr	Shape-changing chains for morphometric analysis of 2D and 3D, open or closed outlines
title_full_unstemmed	Shape-changing chains for morphometric analysis of 2D and 3D, open or closed outlines
title_sort	shape-changing chains for morphometric analysis of 2d and 3d, open or closed outlines
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/f32ca01331c2475a837cd477271b3fcd
work_keys_str_mv	AT bingjueli shapechangingchainsformorphometricanalysisof2dand3dopenorclosedoutlines AT shengminzhou shapechangingchainsformorphometricanalysisof2dand3dopenorclosedoutlines AT andrewpetermurray shapechangingchainsformorphometricanalysisof2dand3dopenorclosedoutlines AT gerardsubsol shapechangingchainsformorphometricanalysisof2dand3dopenorclosedoutlines
_version_	1718442579022839808

Shape-changing chains for morphometric analysis of 2D and 3D, open or closed outlines

Ejemplares similares