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Procrustes analysis (PA)

2021
Broadly speaking, Procrustes analysis (PA) is about transforming some configuration of points in the plane/space to fit into a given specific pattern of points. PA is named after the character Procrustes from the Greek mythology, a robber dwelling somewhere in Attica (and son of Poseidon).
Nickolay Trendafilov, Michele Gallo
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Anisotropic Orthogonal Procrustes Analysis

Journal of Classification, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bennani-Dosse, Mohammed   +1 more
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Subspace Procrustes Analysis

2018
Procrustes Analysis (PA) has been a popular technique to align and build 2-D statistical models of shapes. Given a set of 2-D shapes PA is applied to remove rigid transformations. Then, a non-rigid 2-D model is computed by modeling (e.g., PCA) the residual.
Perez-Giminez, Xavier   +4 more
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Orthogonal Procrustes Analysis

2019
The terms Procrustes Analysis and Procrustes Techniques are referred to a set of least squares mathematical models used to perform transformations among corresponding points belonging to a generic k-dimensional space, in order to satisfy their maximum agreement.
Fabio Crosilla   +4 more
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Anisotropic Procrustes Analysis

2019
The EOPA and GPA models, described in the previous chapters, can be further extended by substituting the isotropic scale factor c with an anisotropic scaling characterized by a diagonal matrix \(\varvec{\Gamma }\) of different scale factors.
Fabio Crosilla   +4 more
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Planar Procrustes analysis of tooth shape

Archives of Oral Biology, 2001
Accurate quantification of variation in tooth shape is important in studies of dental development, which typically have involved measuring distances between subjectively identified landmarks, key points of correspondence on teeth. An established statistical framework now exists for the analysis of shape when objects are represented as configurations of
D L, Robinson   +3 more
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Problems with Procrustes analysis

Journal of Applied Statistics, 1989
Procrustes analysis is applied to three different data sets. From this, it is inferred that the uncritical use of this technique can be highly misleading. It is suggested that an examination of the internal structure of the data is needed to clarify the results and one form of such examination is used as an illustration in the text.
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Generalized Isotropic Procrustes Analysis

2019
The main peculiarity of the problem treated in this chapter is given by the fact that \(m > 2\) matrix configurations are simultaneously considered.
Fabio Crosilla   +4 more
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Generalized joint Procrustes analysis

Computational Statistics, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Quantifying biomechanical motion using Procrustes motion analysis

Journal of Biomechanics, 2007
The ability to quantify and compare the movements of organisms is a central focus of many studies in biology, anthropology, biomechanics, and ergonomics. However, while the importance of functional motion analysis has long been acknowledged, quantitative methods for identifying differences in motion have not been widely developed.
Dean C, Adams, Melinda M, Cerney
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